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Ts grewal practical problems of Tools Of Accounting Ratio (2023-2024)

 Accounting Ratio Ts grewal solution volume-3(2023-2024):part-1

Question 1:


From the following compute Current Ratio:

 

`

 

 

`

Trade Receivable (Sundry Debtors)

3,60,000

 

Bills Payable

40,000

Prepaid Expenses

80,000

 

Sundry Creditors

2,00,000

Cash and Cash Equivalents

1,00,000

 

Debentures

8,00,000

Marketable Securities

1,00,000

 

Inventories

1,60,000

Land and Building

10,00,000

 

Expenses Payable

1,60,000


Answer:

Current Assets = Trade Receivables + Pre-paid Expenses + Cash and Cash Equivalents + Marketable Securities + Inventories

=  ` 3,60,000+  ` 80,000 +  ` 1,00,000 + 1,00,000 + 1,60,000

 =  ` 8,00,000

Current Liabilities = Bills Payable + Sundry Creditors + Expenses Payable
                            =  ` 40,000 +  `2,00,000 +  ` 1,60,000

     =  ` 4,00,000

Current ratio= Current assets/Current liabilities

=8,00,000/4,00,000

=2:1

Question 2:


Calculate Current Ratio from the following information:    

Particulars

`

Particulars

`

Total Assets

20,00,000

Non-current Liabilities

5,20,000

Fixed Tangible Assets

10,00,000

Non-current Investments

6,00,000

Shareholders'  Funds

12,80,000

 

 

 

 

 

 

 

 







Answer:

Total Assets = Fixed Tangible Assets + Non - Current Investments + Current Assets
      20,00,000 = 10,00,000 + 6,00,000 + Current Assets
Current Assets = 20,00,000 – 16,00,000 =  ` 4,00,000

Total Assets = Shareholder’s Funds + Non – Current Liabilities + Current Liabilities
20,00,000= 12,80,000  + 5,20,000 + Current Liabilities
Current Liabilities = 20,00,000 – 18,00,000 =  ` 2,00,000



Page Current ratio= Current assets/Current liabilities=4,00,000/2,00,000=2:1

 

Question 3;

Current Assets `10,00,000, Inventories `5,00,000, Working capital `6,00,000, Calculate Current Ratio.

Answers;

Current liabilities = Current Assets- Working capital

Current liabilities = 10,00,000 - 6,00,000 =4,00,000

Current ratio= Current Assets/ Current liabilities

Current ratio= 10,00,000/4,00,000= 2.5:1

Question 4:

Trade Payables  ` 50,000, Working Capital  ` 9,00,000, Current Liabilities  ` 3,00,000. Calculate Current Ratio.

Answer:

Working Capital = Current Assets - Current Liabilities

9,00,000 = Current Assets − 3,00,000

Current Assets = 9,00,000 + 3,00,000 = ` 12,00,000

Current Ratio=CurrentAssets/CurrentLiabilities=12,00,000/3,00,000=4:1

 

Question 5:

Working Capital  `6,00,000,  Total Debt  `27,00,000,  Non-Current liabilities  `24,00,000. Calculate Current Ratio.


Answers;

Current liabilities=Total Debt- Non-Current liabilities 

Current liabilities=27,00,000-24,00,000=3,00,000

Current Assets= Current liabilities+ Working Capital 

Current Assets=3,00,000+6,00,000=9,00,000

Current ratio= Current Assets/ Current liabilities

Current ratio=9,00,000/3,00,000=3:1

Question 6:


Current Ratio is 2.5, Working Capital is  ` 1,50,000. Calculate the amount of Current Assets and Current Liabilities.

Answer:


Current Ratio=Current Assets/Current Liabilities

2.5=Current Assets/Current Liabilities

Current Assets=2.5×Current Liabilities

Working Capital=Current Assets-Current Liabilities

=1,50,000=2.5 

Current Assets-Current Liabilities

Current Liabilities=1,50,000/1.5

Current Liabilities= ` 1,00,000

Current Assets=2.5 

Current Assets=Current Liabilities × Ratio of Current Assets

Current Assets=2.5×1,00,000

Current Assets= ` 2,50,000

 

Question 7:


Working Capital is `18,00,000; Trade Payables `1,80,000; and Other Current Liabilities are `4,20,000. Calculate Current Ratio.

Answer:


Current Liabilities

=

Trade Payables + Other Current Liabilities

Current Liabilities

=

1,80,000+4,20,000

Current Liabilities

=

6,00,000

Current Assets

=

Working Capital+ Current Liabilities

Current Assets

=

18,00,000+6,00,000

Current Assets

=

24,00,000

Current Ratio

=

Current Assets/ Current Liabilities

Current Ratio

=

24,00,000/6,00,000

Current Ratio

=

4/1 = 4:1

 

 

Question 8:


 Working Capital `9,00,000; Total Debts (Liabilities) `19,50,000; Long-Term Debts `15,00,000. Calculate Current Ratio.

Answer:


Current Liabilities

=

Total Debts - Long-Term Debts

Current Liabilities

=

19,50,000-15,00,000

Current Liabilities

=

4,50,000

Current Assets

=

Working Capital+ Current Liabilities

Current Assets

=

9,00,000+4,50,000

Current Assets

=

13,50,000

Current Ratio

=

Current Assets/ Current Liabilities

Current Ratio

=

13,50,000/4,50,000

Current Ratio

=

3/1 = 3:1

 

Question 9:


Current Assets are  ` 7,50,000 and Working Capital is  ` 2,50,000. Calculate Current Ratio.

Answer:


Current Assets =  ` 7,50,000
Working Capital =  ` 2,50,000
Working Capital = Current Assets – Current Liabilities
            2,50,000 = 7,50,000 – Current Liabilities
Current Liabilities = 7,50,000 – 2,50,000 =  ` 5,00,000

Current ratio= Current assets/Current liabilities=7,50,000/5,00,000=1.5:1

 

Question 10:


A company had Current Assets of  `4,50,000 and Current Liabilities of  `2,00,000. Afterwards it purchased goods for  `30,000 on credit. Calculate Current Ratio after the purchase.

 

Answer:


Before purchased goods

Current Assets of `4,50,000 and Current Liabilities of `2,00,000

 

Current Ratio after the purchase

Current Ratio= Current Assets+ purchased goods/ Current Liabilities+ purchased goods

Current Ratio= 4,50,000+ 30,000/ 2,00,000+30,000

Current Ratio= 4,80,000/ 2,30,000

Current Ratio= 2.09:1 = 2.09:1


Question 11:


Current Liabilities of a company were `1,75,000 and its Current Ratio was 2: 1. It paid `30,000 to a Creditor. Calculate Current Ratio after payment.

Answer:


Current Ratio= 2:1 before payment to Creditor

Current Liabilities = `1,75,000 before payment to Creditor

Current Assets = (`1,75,000×2)=3,50,000 before payment to Creditor

Current Ratio After payment to Creditor

=3,50,000-30,000/1,75,000-30,000

Current Ratio = 3,20,000/1,45,000

Current Ratio = 2.21/1

 

Question 12:


Ratio of Current Assets (`3,00,000) to Current Liabilities ( `2,00,000) is 1.5:1. The accountant of the firm is interested in maintaining a Current Ratio of 2:1 by paying off a part of the Current Liabilities. Compute amount of the Current Liabilities that should be paid so that the Current Ratio at the level of 2:1 may be maintained.

Answer:


Current ratio= Current assets/Current liabilities=1.5:1

The company is interested in maintaining the Current Ratio of 2:1 by paying off the liability.

Let the liability paid-off by the company = x

∴ New Current Assets = 3,00,000 − x

New Current Liabilities = 2,00,000 − x

New Current ratio= 3,00,000-x/2,00,000-x=2:1

Or 3,00,000-3x=4,00,000-2x

Or 1,00,000

Therefore, liability of `1,00,000 need to be paid-off by the company in order to maintain the Current Ratio of 2 : 1.

 

Question 13:


Ratio of Current Assets ( `8,75,000) to Current Liabilities ( `3,50,000) is 2.5:1. The firm wants to maintain Current Ratio of 2:1 by purchasing goods on credit. Compute amount of goods that should be purchased on credit.

Answer:


Current Assets =  ` 8,75,000
Current Liabilities =  ` 3,50,000
Current Ratio = 2.5:1
The business is interested to maintain its Current Ratio at 2:1 by purchasing goods on credit.
Let the amount of goods purchased on credit be ‘x’
Current Liabilities =  ` 3,50,000 + x
Current Assets =  ` 8,75,000 + x

Current ratio= Current assets/Current liabilities=8,75,,000+x/3,50,000+x=2/1


8,75,000 + x = 7,00,000 + 2x
8,75,000 – 7,00,000 = 2x – x
1,75,000 = x

Therefore, goods worth  ` 1,75,000 must be purchased on credit to maintain the current ratio at 2:1.

Question 14:


A firm had Current Assets of  `5,00,000. It paid Current Liabilities of  `1,00,000 and the Current Ratio became 2:1. Determine Current Liabilities and Working Capital before and after the payment was made.

Answer:


Firm disposed off liabilities of  ` 1,00,000 which results in decrease in current liabilities and current assets by the same amount.
After disposing liabilities:
Current Assets =  ` 4,00,000 ( ` 5,00,000 –  ` 1,00,000)
And, Let Current Liabilities be (x –  ` 1,00,000)


Current ratio= Current assets/Current liabilities=4,00,000/x-1,00,000=2:1



4,00,000 = 2x – 2,00,000
6,00,000 =  2x
Therefore, x = 3,00,000

Current Liabilities after payment = x –  ` 1,00,000 =  ` 2,00,000

Working Capital after Payment = Current Assets – Current Liabilities
=  ` 4,00,000 –  ` 2,00,000 =  ` 2,00,000

Current Assets before payment =  ` 5,00,000
Current Liabilities before Payment =  ` 3,00,000
Therefore, Working Capital Before Payment = Current Assets – Current Liabilities
=  ` 5,00,000 –  ` 3,00,000 =  ` 2,00,000

 

Question 15:


State giving reason, whether the Current Ratio will improve or decline or will have no effect in each of the following transactions if Current Ratio is 2:1:
(a) Cash paid to Trade Payables.
(b) Bills Payable discharged.
(c) Bills Receivable endorsed to a creditor.
(d) Payment of final Dividend already declared.
(e) Purchase of Stock-in-Trade on credit.
(f) Bills Receivable endorsed to a Creditor dishonoured.
(g) Purchases of Stock-in-Trade for cash.
(h) Sale of Fixed Assets (Book Value of  `50,000) for  `45,000.
(i) Sale of Fixed Assets (Book Value of  `50,000) for  `60,000.

Answer:


Let’s assume Current Assets as  ` 2,00,000 and Current Liabilities as  ` 1,00,000
Current Ratio=Current Assets/Current Liabilities

Current Ratio=2,00,000/1,00,000=2:1

(a) Cash paid to Trade Payables (say  ` 50,000)

Current Ratio =2,00,000−50,000/1,00,000−50,000=3:1 (Improve)

(b) Bills Payable discharged (say  ` 50,000)

Current Ratio = 2,00,000−50,000/1,00,000−50,000=3:1 (Improve)

(c) Bills Receivable endorsed to a creditor (say  ` 50,000)

Current Ratio =2,00,000−50,000/1,00,000−50,000=3:1 (Improve)     

(d) Payment of final Dividend already declared (say  ` 50,000)

Current Ratio =2,00,000−50,000/1,00,000−50,000=3:1 (Improve)

(e) Purchase of Stock-in-Trade on credit (say  ` 50,000)

Current Ratio =2,00,000+50,000/1,00,000+50,000=1.67:1 (Decline)

(f) Bills Receivable endorsed to a Creditor dishonoured (say  ` 50,000)
 
Current Ratio =2,00,000+50,000/1,00,000+50,000=1.67:1 (Decline)

(g) Purchase of Stock-in-Trade for cash (say  ` 50,000)

Current Ratio =2,00,000+50,000−50,000/1,00,000=2:1 (No effect)

(h) Sale of Fixed Assets (Book value of  ` 50,000) for  ` 45,000

Current Ratio=2,00,000+45,000/1,00,000=2.45:1 (Improve)

(i) Sale of Fixed Assets (Book value of  ` 50,000) for  ` 60,000

Current Ratio =2,00,000+60,000/1,00,000=2.6:1 (Improve) 


Question 16:


From the following information, calculate Liquid Ratio:      

Particulars

`

Particulars

`

Current Assets

2,00,000

Trade Receivables

1,10,000

Inventories

50,000

Current Liabilities

70,000

Prepaid Expenses 

10,000

 

 

 

 

 

 

 

 

 








 

Answer:


Quick Assets or Liquid Assets = Currents Assets – Inventories – Pre-paid Expenses
=  ` 2,00,000 –  ` 50,000 –  ` 10,000 =  ` 1,40,000
Current Liabilities =  ` 70,000

Current ratio= liquid assets or quick assets/Current liabilities=1,40,000/70,000=2:1

 

Question 17:


Quick Assets `3,00,000; Inventory (Stock) `80,000; Prepaid Expenses `20,000; Working Capital `2,40,000. Calculate Current Ratio.

Answer:


Current Assets= Quick Assets +Inventory (Stock) +Prepaid Expenses

Current Assets= 3,00,000+ 80,000+20,000

Current Assets= 4,00,000

Current Liabilities = Current Assets- Working Capital

Current Liabilities = 4,00,000 - 2,40,000

Current Liabilities = 1,60,000

Current Ratio

=

Current Assets/ Current Liabilities

Current Ratio

=

4,00,000/1,60,000

Current Ratio

=

2.5 :1

 

 

Question 18:


Current Assets `6,00,000; Inventories `1,20,000; Working Capital `5,04,000. Calculate Quick Ratio.

 Answer:


Quick Assets

=

Current Assets + Inventories

 

=

6,00,000 - 1,20,000

Quick Assets

=

4,80,000

Current Liabilities

=

Current Assets- Working Capital

 

=

6,00,000-5,04,000

Current Liabilities

=

96,000

Quick Ratio

=

Quick Assets/ Current Liabilities

 

=

4,80,000/96,000

 

=

5/1 = 5:1

 

Question 19:


Current Liabilities of a company are   ` 6,00,000. Its Current Ratio is 3 : 1 and Liquid Ratio is 1 : 1. Calculate value of Inventory

Answer:


Current ratio= Quick assets/Current liabilities=3/1

Acid test ratio= Liquied assets/Current liabilities=1/1

Current Liabilities = 6,00,000

Current Assets = 3 × Current Liabilities

= 3 × 6,00,000 = 18,00,000

Liquid Assets = 1 × 6,00,000 = 6,00,000

Inventory = Current Assets − Liquid Assets

= 18,00,000 − 6,00,000 = 12,00,000

 

Question 20:


Moon Ltd. has a Current Ratio of 3.5 : 1 and Quick Ratio of 2 : 1. If the Inventories is   `  24,000; calculate total Current Liabilities and Current Assets.

Answer:


Current ratio= Current assets/Current liabilities=3.5/1

 

Quick ratio= Quick assets/Current liabilities=2/1

Let Current Liabilities be = x

Current Assets = 3.5 x

Quick Assets = 2 x

Stock = Current Assets − Quick Assets

24,000 = 3.5 x − 2 x

or, 24,000 = 1.5 x

x = 16,000

Current Liabilities = x =  ` 16,000

Current Assets = 3.5 x = 3.5 × 16,000 =  ` 56,000


Question 21:


Umesh Ltd. has Current Ratio of 4.5 : 1 and a Quick Ratio of 3 : 1. If its inventory is   `  36,000, find out its total Current Assets and total Current Liabilities.

Answer:


Current ratio= Current assets/Current liabilities=4.5/1

 

Quick ratio= Quick assets/Current liabilities=3/1

Inventory = 36,000

Let Current Liabilities be = x

Current Assets = 4.5x

Quick Assets = 3x

Stock = Current Assets − Quick Assets

36,000 = 4.5x − 3x

x = 24,000

Current Assets = 4.5x = 4.5 × 24,000 = 1,08,000

Liquid Assets= 3x = 3 × 24,000 = 72,000

 

Question 22:


Current Ratio 4; Liquid Ratio 2.5; Inventory   `  6,00,000. Calculate Current Liabilities, Current Assets and Liquid Assets.

Answer:


Current ratio= Current assets/Current liabilities=4/1

 

Liquid ratio= Liquid assets/Current liabilities=2.5/1

Inventory = 6,00,000

Let Current Liabilities be = x

Current Assets = 4x

Quick Assets = 2.5x

Stock = Current Assets − Quick Assets

6,00,000 = 4x − 2.5x

x = 4,00,000

Current Assets = 4x = 4 × 4,00,000 = 16,00,000

Liquid Assets = 2.5x = 2. 5× 4,00,000 = 10,00,000

 

Question 23:


Current Liabilities of a company are   `1,50,000. Its Current Ratio is 3 : 1 and Acid Test Ratio (Liquid Ratio) is 1 : 1. Calculate values of Current Assets, Liquid Assets and Inventory.

Answer:


Current ratio= Current assets/Current liabilities=3/1

 

Acid test ratio= Liquid assets/Current liabilities=1/1

Current Liabilities = 1,50,000

Current Assets = 3 × Current Liabilities

= 3 × 1,50,000 = 4,50,000

Liquid Assets = 1 × 1,50,000 = 1,50,000

Inventory = Current Assets − Liquid Assets

= 4,50,000 − 1,50,000 = 3,00,000

 

Question 24:


Xolo Ltd.'s Liquidity Ratio is 2.5 : 1. Inventory is  ` 6,00,000. Current Ratio is 4 : 1. Find out the Current Liabilities.

Answer:


Current ratio= Current assets/Current liabilities=4/1

 

Quick ratio= Quick assets/Current liabilities=2.5/1

Let the Current Liabilities be = x

Current Assets = 4x

Quick Assets = 2.5x

Stock = Current Assets − Quick Assets

6,00,000 = 4x − 2.5x

or, x = 4,00,000

Current Liabilities = x =  ` 4,00,000

 

Question 25:


Current Assets of a company is are   ` 5,00,000. Its Current Ratio is 2.5 : 1 and Quick Ratio is 1 : 1. Calculate value of Current Liabilities, Liquid Assets and Inventory.

Answer:


Current ratio= Current assets/Current liabilities=2.5/1

 

Quick ratio= Liquid assets/Current liabilities=1/1

Current Assets = 5,00,000

Current ratio= Current assets/Current liabilities=5,00,000/2.5=2,00,000

Liquid Assets = Current Liabilities × 1 = 2,00,000

Inventory = Current Assets − Quick Assets

= 5,00,000 − 2,00,000 = 3,00,000


Question 26:


Working Capital   `  3,60,000; Total :Debts   ` 7,80,000; Long-term Debts  ` 6,00,000; Inventories   ` 1,80,000. Calculate Liquid Ratio.

Answer:


Current Liabilities = Total Debts − Long-term Debts

= 7,80,000 − 6,00,000 = 1,80,000

Current Assets = Current Liabilities + Working Capital

= 1,80,000 + 3,60,000 = 5,40,000

Quick Assets = Current Assets − Stock

= 5,40,000 − 1,80,000 = 3,60,000

Current ratio= Quick assets/Current liabilities=3,60,000/1,80,000=2:1

 

Question 27:


Quick Ratio of a company is 2:1. State giving reasons, which of the following transactions would (i) improve, (ii) reduce, (iii) Not change the Quick Ratio:
(a) Purchase of goods for cash; (b) Purchase of goods on credit; (c) Sale of goods (costing  `20,000) for  `20,000; (d) Sale of goods (costing  `20,000) for  `22,000; (e) Cash received from Trade Receivables.

Answer:


Quick Ratio = 2:1

Let Quick Assets be =  ` 40,000

Current Liabilities =  ` 20,000

(a) Purchase of goods for Cash- Reduce

Reason: This transaction will result decrease in cash and increases in stock. Liquid Asset will decrease due payment for goods purchased.

Example: Purchase of goods  ` 10,000 for cash

Quick Assets = 40,000 − 10,000 (Cash) =  ` 30,000

 

Quick ratio (After purchase of Assets)= (40,000-10,000)/20,000=1.5:1

 

(b) Purchase of goods on Credit- Reduce

Reason: Purchase of goods on credit will result increase in Current Liabilities and no change in Quick Assets.

Example: if Purchase of goods on Credit `10,000

Current Liabilities = 20,000 + 10,000 (Creditors) = `30,000

Quick ratio (After purchase of goods on credit)= 40,000/(20,000+10,000)=1.33:1

 

(c) Sale of goods for  ` 20,000- Improve

Reason: Sale of goods will result in increase in Quick Assets by the amount of  ` 40,000 in the form of either in cash or debtor. This transaction will result no change in current liabilities.

Quick ratio (After sale of goods)= (40,000+20,000)/20,000=3:1

 

(d) Sale of goods costing  ` 20,000 of or  ` 22,000- Improve

Reason: This transaction will increase the Quick Assets by  ` 22,000 in the form of either in cash or debtors but no effect on the Current Liabilities.

Quick Assets after sale of goods = 40,000 + 22,000 =  ` 62,000

Quick Ratio after sale of goods= (40,000+22,000)/20,000=3.1:1

(e) Cash received from debtors- No change

Reason: This transaction results increase in one quick asset in the form of cash and decrease in other quick asset in the form of debtor with equal amount. Therefore it result in no change in the total of Quick Assets.

Example: Cash received from debtors `10,000

Quick Assets = 40,000 + 10,000 (Cash) − 10,000 (Debtors) = 40,000

Quick ratio (After cash received from debtors)

= (40,000-10,000+10,000)/20,000=2:1

 

Question 28:


 Quick Ratio of Z Ltd. is 1:1. State, with reason, which of the following transactions would (i) Increase (ii) Decrease or (ii) Not change the ratio.

(a) Included in the trade payables was bill payable of 3,000 which was met on maturity;

(b) Debentures of 50,000 were converted into equity shares.

(CBSE 2014)

Answer:


Transaction

Impact

Paid a bills payable  ` 5,000 on maturity

As cash is going out, quick assets are decreasing by 3,000 and same amount is decreasing from current liabilities. So, quick ratio will not change.

Converted Debentures into Equity shares

As Debenture and Equity shares are not the part of Quick assets and Current liabilities. So, quick ratio will not change.

 

Question 29:


The Quick Ratio of a company is 0.8:1. State with reason, whether the following transactions will increase, decrease or not change the Quick Ratio:
(i) Purchase of loose tools for  `2,000; (ii) Insurance premium paid in advance  `500; (iii) Sale of goods on credit  `3,000; (iv) Honoured a bills payable of  `5,000 on maturity.

Answer:


Transaction

Impact

Purchase of loose tools  ` 2,000

As cash is going out, quick assets are decreasing by 2,000. So, quick ratio will decrease.

Insurance premium paid in advance  ` 500

As cash is going out, quick assets are decreasing by 500. So, quick ratio will decrease.

Sale of goods on credit  ` 3,000

As debtors increase, quick assets also increase by 3,000. So, quick ratio will increase.

Honoured a bills payable  ` 5,000 on maturity

As cash is going out, quick assets are decreasing by 5,000 and since bill is honoured current liabilities are decreasing. Thus, quick ratio will decrease.

 

Question 30:


Venus Limited's Inventory is  `3,00,000. Total Liquid Assets are  `12,00,000 and Quick Ratio is 2:1. Work out Current Ratio.

Answer:


Quick ratio = Quick Assets/Current assets=2:1

Quick Assets = 12,00,000

Current liabilities Quick assets/2=12,00,000/2=6,00,000

Current Assets = Quick Assets + Stock

= 12,00,000 + 3,00,000 = 15,00,000

Current ratio= Current assets / Current liabilities=15,00,000/6,00,000=2.5:1


Question 31:


Total Assets  `11,00,000; Fixed Assets  `5,00,000; Capital Employed  `10,00,000. There were no Long-term Investments.
Calculate Current Ratio.

Answer:


Current Assets = Total Assets − Fixed Assets

Fixed Assets = 5,00,000

Total Assets = 11,00,000

∴ Current Assets = 11,00,000 − 5,00,000 = 6,00,000

Current Liabilities = Total Assets − Capital Employed

= 11,00,000 − 10,00,000 = 1,00,000

Current ratio= Current Assets/ Current liabilities=6,00,000/1,00,000=6:1

Question 32:


Capital Employed  `20,00,000; Fixed Assets  `14,00,000; Current Liabilities  `2,00,000. There are no Long-term Investments. Calculate Current Ratio.

Answer:


Capital Employed = 20,00,000

Fixed Assets = 14,00,000

Current Assets = Capital Employed + Current Liabilities − Fixed Assets

= 20,00,000 + 2,00,000 − 14,00,000 = 8,00,000

Current ratio= Current Assets/ Current liabilities=8,00,000/2,00,000=4:1

 

Question 33:


From the following calculate: (i) Current Ratio; and (ii) Quick Ratio:

 

`

 

 

`

Total Debt

12,00,000

 

Long-term Borrowings

4,00,000

Total Assets

16,00,000

 

Long-term Provisions

4,00,000

Fixed Assets (Tangible)

6,00,000

 

Inventories

1,90,000

Non-current Investment

1,00,000

 

Prepaid Expenses

10,000

Long-term Loans and Advances

1,00,000

 

 

 

Answer:


(i)                 Current ratio

Current RatioCurrent Assets=Total Assets-Fixed Assets-Non-Current Investment - Long term Loans and Advances                       

=16,00,000-6,00,000-1,00,000-1,00,000= ` 8,00,000

 

Current Liabilities=Total Debt - Non-Current Liabilities                             

=12,00,000-4,00,000-4,00,000= ` 4,00,000

 

Current Ratio=Current AssetsCurrent Liabilities                     

=8,00,000/4,00,000=2:1

 

(ii)             ​ Quick Ratio 

Quick Assets=Current Assets-Stock-Prepaid Expenses                   

=8,00,000-1,90,000−10,000= ` 6,00,000

Quick Ratio=Quick Assets/Current Liabilities                     

=6,00,000/4,00,000=1.5:1

 

Question 34:


Following is the Balance Sheet of Crescent Chemical Works Limited as at 31st March, 2021:

Particulars

Note
No.

`

I. EQUITY AND LIABILITIES :
1. Shareholder's Funds :

 

 

(a) Share Capital

 

70,000

(b) Reserves and Surplus

 

35,000

 

 

 

2. Non-Current Liabilities :

 

 

Long-term Borrowings

 

25,000

 

 

 

3. Current Liabilities :

 

 

(a) Short-term Borrowings

 

3,000

(b) Trade Payables (Creditors)

 

13,000

(b) Short-term Provisions: Provision for Tax

 

4,000

Total

 

1,50,000

II. ASSETS :

 

 

1. Non-Current Assets

 

 

(a) Fixed Assets (Tangible)

 

45,000

(b) Non-current Investments

 

5,000

 

 

 

2. Current Assets

 

 

(a) Inventories (Stock)

 

50,000

(b) Trade Receivables (Debtors)

 

30,000

(c) Cash and Cash Equivalents

 

20,000

Total

 

1,50,000

Compute Current Ratio and Liquid Ratio 

Answer:


Current Assets = Inventory + Trade Receivables + Cash and Cash Equivalents

= 50,000 + 30,000 + 20,000 = 1,00,000

Current Liabilities = Short-term Borrowings + Trade Payables + Provision for Tax

= 3,000 + 13,000 + 4,000 = 20,000

Quick Assets = Trade Receivables + Cash and Cash Equivalents

= 30,000 + 20,000 = 50,000

Current ratio= Current Assets/ Current liabilities=1,00,000/20,000=5:1

Quick ratio= Liquid Assets/ Current liabilities=50,000/20,000=2.5:1

 

Comments:

1. Ideal Current Ratio for a business is considered to be 2:1. But in this case the ratio is quite high i.e. 5:1. This may be due to the following reasons:

(i) Blockage of Funds in Stock

(ii) High Amount outstanding from Debtors

(iii)            Huge Cash and Bank Balances

 

2. Ideal Quick Ratio of a business is supposed to be 1:1. This implies that Liquid Assets should be equal to the Current Liabilities. But in the given case Quick Ratio is 2.5 : 1 which indicates that the Liquid Assets are quite high in comparison to the Current Liabilities.

 

Question 35:


Total Assets  ` 2,60,000; Total Debts  ` 1,80,000; Current Liabilities  ` 20,000. Calculate Debt to Equity Ratio. 

Answer:


Total Debts = 1,80,000

Current Liabilities = 20,000

Long-term Debts = Total Debts − Current Liabilities

= 1,80,000 − 20,000 = 1,60,000

Equity = Total Assets − Total Liabilities

= 2,60,000 − 1,80,000 = 80,000

Debt equity ratio= Long-term Debt /equity=1,60,000/80,000=2:1


Question 36:


Calculate Debt to Equity Ratio: Equity Share Capital  ` 5,00,000; General Reserve  ` 90,000; Accumulated Profits  ` 50,000; 10% Debentures  ` 1,30,000; Current Liabilities  ` 1,00,000.

Answer:


Equity = Equity Share Capital + General Reserve + Accumulated Profits

= 5,00,000 + 90,000 + 50,000 = 6,40,000

Debt = 10% Debentures = 1,30,000

Debt equity ratio= Debt /equity=1,30,000/6,40,000=0.203:1

 

Question 37:


From the following information, calculate Debt to Equity Ratio: 

 

`

10,000 Equity Shares of ` 10 each fully paid

2,00,000

5,000; 9% Preference Shares of ` 10 each fully paid

1,00,000

General Reserve

90,000

Surplus, i.e., Balance in Statement of Profit & Loss

40,000

10% Debentures

1,50,000

Current Liabilities

1,00,000

Note: Either Number of shares or Price of par share is wrongly printed in the book, either of both must have been changed.

Answer:


Long-Term Debt = Debentures =  ` 1,50,000
Shareholder’s Funds = Equity Share Capital + Preference Share Capital + General Reserve + Surplus
=  ` 2,00,000 +  ` 1,00,000 +  ` 90,000 +  `40,000 =  ` 4,30,000

Debt-equity ratio= Long-Term Debt /Equity = 1,50,000/4,30,000 = 0.35:1

Question 38:


Capital Employed  `8,00,000; Shareholders' Funds  `2,00,000. Calculate Debt to Equity Ratio.

Answer:


Shareholders’ Funds = 2,00,000

Capital Employed = 8,00,000

Long- Term Debts = Capital Employed − Shareholders’ Funds

= 8,00,000 − 2,00,000 = 6,00,000

Debt equity ratio= Long-term Debt /equity=6,00,000/2,00,000=3:1

 

Question 39:


Balance Sheet had the following amounts as at 31st March, 2021:

 

`

 

 

`

10% Preference Share Capital

5,00,000

 

Current Assets

12,00,000

Equity Share Capital

15,00,000

 

Current Liabilities

8,00,000

Securities Premium Reserve

1,00,000

 

Investments (in other companies)

2,00,000

Reserves and Surplus

4,00,000

 

Fixed Assets-Cost

60,00,000

Long-term Loan from IDBI @ 9%

30,00,000

 

Depreciation Written off

14,00,000

Calculate ratios indicating the Long-term and the Short-term financial position of the company.

Answer:


(i) Debt-Equity Ratio is an indicator of Long-term financial health. It shows the proportion of Long-term loan in comparison of shareholders’ Funds.

Debt-Equity Ratio = Long Term Debts/Equity

Debt = Loan from IDBI @ 9% = 30,00,000

Equity = 10% Preference Share Capital + Equity Share Capital + Reserves & Surplus

= 5,00,000 + 15,00,000 + 4,00,000 = 24,00,000

Debt-Equity Ratio = 30,00,000/24,00,000 = 1.25:1

(ii) Current Ratio is an indicator of short-term financial portion. It shows the proportion of Current Assets in comparison of Current Liabilities.
Current Ratio = Current Assets/Current Liabilities

Current Assets = 12,00,000

Current Liabilities = 8,00,000

Current Ratio = 12,00,000/8,00,000 = 1.5:1

Note: In the above question, Securities Premium Reserve is not considered while computing Equity because it is already included in the amount of Reserves and Surplus.

 

Question 40:


Calculate Debt to Equity Ratio from the following information:

 

`

 

 

`

Fixed Assets (Gross)

8,40,000

 

Current Assets

3,50,000

Accumulated Depreciation

1,40,000

 

Current Liabilities

2,80,000

Non-current Investments

14,000

 

10% Long-term Borrowings

4,20,000

Long-term Loans and Advances

56,000

 

Long-term Provisions

1,40,000

 

Answer:


Debt

=

Long Term Borrowings+Long Term Provisions        

 

=

4,20,000+1,40,000 =  ` 5,60,000

 

 

 

Equity

=

Total Assets - Total Debts           

 

=

(8,40,000 -1,40,000+14,000+56,000+3,50,000) - (4,20,000 -1,40,000 -2,80,000)=  ` 2,80,000

 

 

 

Debt to Equity Ratio

=

Debt/Equity                                  

 

=

5,60,000/2,80,000=2:1


Question 41:


When Debt to Equity Ratio is 2, state giving reason, whether this ratio will increase or decrease or will have no change in each of the following cases:
(i) Sale of Land (Book value  `4,00,000) for  `5,00,000; (ii) Issue of Equity Shares for the purchase of Plant and Machinery worth  `10,00,000; (iii) Issue of Preference Shares for redemption of 13% Debentures, worth  `10,00,000.

Answer:


Debt-Equity Ratio = 2:1

Let Long-term loan =  ` 20,00,000

Shareholders’ Funds =  ` 10,00,000

(i) Sale of Land (Book Value  ` 4,00,000) for  ` 5,00,000- Decrease

Reason: This transaction will result increase in Shareholders’ Funds by  ` 1,00,000 as profit on sale of Land.

Shareholders’ Funds after adjusting profit on sale of land = 10,00,000 + 1,00,000 =  ` 11,00,000

Debt equity ratio= 20,00,000/11,00,000=1.81:1

 

(ii) Issue of Equity share for the purchase of plant and Machinery worth  ` 10,00,000- Decrease

Reason: This transaction will increase the amount of Shareholders Fund by  ` 10,00,000 in the form of equity shares and have no effect on Long-term Loans.

Debt equity ratio= Long-term Debt /equity=20,00,000/20,00,000=1:1

 

(iii) Issue of preference Shares for redemption of 13% Debentures worth  ` 10,00,000- Decrease

Reason: This transaction will lead to decrease in Long-term Loan by  ` 10,00,000 in the form of redemption of debentures and increase in Shareholders’ Funds with the same amount in the form of Preference Shares.

Debt equity ratio= Long-term Debt /equity=20,00,000-10,00,000/10,00,000+10,00,000=5:1

 

Question 42:


Debt to Equity Ratio of a company is 0.5:1. Which of the following suggestions would increase, decrease or not change it:

(i) Issue of Equity Shares:

(ii) Cash received from debtors:

(iii) Redemption of debentures;

(iv) Purchased goods on Credit?

Answer:


Debt Equity Ratio = 0.5:1

Let Long- term Loan be =  ` 5,00,000

Shareholders’ Funds =  ` 10,00,000

Debt equity ratio= Debt /equity=5,00,000/10,00,000=0.5:1

 

(i) Issue of Equity shares- Decrease

Reason: Issue of equity shares results in increase in Shareholders’ Funds in the form of equity shares but there will be no change in Long-term Loan.

Example: Issue of equity share  ` 5,00,000

Shareholders’ Funds after issue of equity shares = 10,00,000 + 15,00,000

=  ` 15,00,000

Debt equity ratio= Debt /equity=5,00,000/15,00,000=0.33:1

 

(ii) Cash received from Debtors- No Change

Reason: Cash received from debtors will increase one current asset in the form of cash and decrease other asset in the form of debtors. This transaction will have no effect on Long-term Loan and Shareholders’ Funds.

(iii) Redemption of Debentures- Decrease

Reason: This transaction will result decrease in Long-term Loans in the form of reduction in debtors and no change in Shareholders’ Funds.

Example: Redemption of Debentures `2,00,000

Long-term Loan = 5,00,000 − 2,00,000 = 3,00,000

Debt equity ratio after redemption of debenture = Debt /equity=3,00,000/10,00,000=0.3:1

(iv) Purchased of goods on Credit- No Change

Reason: Neither Long-term loan nor share holders’ funds will be affected by this transaction because purchase of goods results no change in Long-term Loan and Shareholders’ Funds.

 

Question 43:


Assuming That the Debt to Equity Ratio is 2 : 1, state giving reasons, which of the following transactions would (i) increase; (ii) Decrease; (iii) Not alter Debt to Equity Ratio:

(i) Issue of new shares for cash.
(ii) Conversion of debentures into equity shares
(iii) Sale of a fixed asset at profit.
(iv) Purchase of a fixed asset on long-term deferred payment basis.
(v) Payment to creditors.

Answer:


Let’s take Debt and Equity as  ` 2,00,000 and  ` 1,00,000

Debt to Equity Ratio=Debt/Equity                                  

=2,00,000/1,00,000=2:1

(i) Issue of new shares for cash (say  ` 50,000)

Debt to Equity Ratio =2,00,000/1,00,000+50,000=1.33:1(Decrease)

(ii) Conversion of debentures into equity shares (say  ` 50,000)

Debt to Equity Ratio =2,00,000/1,00,000+50,000=1.33:1(Decrease)

(iii) Sale of a fixed asset at profit (say  ` 50,000 profit)

Debt to Equity Ratio =2,00,000/1,00,000+50,000=1.33:1(Decrease)

(iv) Purchase of fixed asset on long term payment basis (say  ` 50,000)

Debt to Equity Ratio =2,00,000+50,000/1,00,000=2.5:1(Increase)

(v) Payment to creditors (say  ` 50,000)

Debt to Equity Ratio =2,00,000/1,00,000=2:1(No Change)

 

Question 44:


From the following Balance Sheet of ABC Ltd. as at 31st March, 2022, Calculate Debt to Equity Ratio:

Particulars

`

I. EQUITY AND LIABILITIES

 

1. Shareholder's Funds

 

(a) Share Capital:

 

(i) Equity Share Capital

5,00,000

 

(ii) 10% Preference Share Capital

5,00,000

10,00,000

(b) Reserves and Surplus

2,40,000

 

 

2. Non-Current Liabilities 

 

Long-term Borrowings (Debentures)

2,50,000

 

 

3. Current Liabilities :

 

(a) Trade Payables

4,30,000

(b) Other Current Liabilities

20,000

(c) Short-term Provisions: Provision for Tax

3,00,000

Total

22,40,000

II. ASSETS

 

1. Non-Current Assets

 

Fixed Assets:

 

(i) Tangible Assets

6,40,000

(ii) Intangible Assets

1,00,000

 

 

2. Current Assets

 

(a) Inventories

7,50,000

(b) Trade Receivables

6,40,000

(c) Cash and Cash Equivalents

1,10,000

Total

22,40,000

 

 

Answer:


Long-term Debt = Debentures = 2,50,000

Equity = Equity Share Capital + 10% Preference Share Capital + Reserves and Surplus

= 5,00,000 + 5,00,000 + 2,40,000 = 12,40,000

Debt equity ratio= Long-term Debt /equity=2,50,000/12,40,000=0.2:1

 

Question 45:


Calculate Total Assets to Debt Ratio from the following information:
Long-term Debts  ` 4,00,000; total Assets   ` 7,70,000.

Answer:


Long-term Debts = 4,00,000

Total Assets = 7,70,000

Total assets to Debt ratio= Total assets / Debt =7,70,000/4,00,000=1.925:1

Question 46:


Shareholders' Funds   ` 1,60,000; Total Debts  ` 3,60,000; Current Liabilities  ` 40,000.
Calculate Total Assets to Debt Ratio.

Answer:


Total Debts = 3,60,000

Shareholders’ Funds = 1,60,000

Current Liabilities = 40,000

Total Assets = Total Debts + Shareholders’ Funds

= 3,60,000 + 1,60,000 = 5,20,000

Long-term Debts = Total Debt − Current Liabilities

= 3,60,000 − 40,000 = 3,20,000

Total assets to Debt ratio= Total assets / Debt =5,20,000/3,20,000=13:8 or 1.625:1

 

Question 47:


Total Debt  ` 60,00,000; Shareholders' Funds  ` 10,00,000; Reserves and Surplus   ` 2,50,000; Current Assets  ` 25,00,000; Working Capital  ` 5,00,000. Calculate Total Assets to Debt Ratio.

Answer:


Total Assets to Debt Ratio =  Total Assets/Long Term Debt
Working Capital = Current Assets – Current Liabilities
      5,00,000 = 25,00,000 – Current Liabilities
          Current Liabilities =  ` 20,00,000
Long Term Debts = Total Debt – Current Liabilities
                          = 60,00,000 – 20,00,000
                          =  ` 40,00,000
Total Assets = Total Liabilities = Total Debt + Shareholders’ Funds
                = 60,00,000 + 10,00,000
                =  ` 70,00,000
Total Assets to Debt Ratio = 70,00,000/40,00,000 = 7 : 4 or 1.75 : 1

 

Question 48:


Total Debt  `15,00,000; Current Liabilities  `5,00,000; Capital Employed  `15,00,000. Calculate Total Assets to Debt Ratio. 

Answer:


Total Assets to Debt Ratio =  Total Assets/Long Term Debt

Capital Employed = Total Assets – Current Liabilities
        15,00,000 = Total Assets – 5,00,000
    Total Assets =  ` 20,00,000
Long Term Debt = Total Debt – Current Liabilities
                          = 15,00,000 – 5,00,000
                          =  ` 10,00,000

Total Assets to Debt Ratio = 20,00,000/10,00,000 = 2 : 1

 

Question 49:


Calculate Total Assets to Debt Ratio from the following information:    

 

 

 

 

 

Particulars

`

Particulars 

`

 

Total Assets

15,00,000

Bills Payable

60,000

Total Debts

12,00,000

Bank Overdraft

50,000

Creditors

90,000

Outstanding Expenses

20,000







 

Answer:


Total Assets =  ` 15,00,000
Current Liabilities = Creditors + Bills Payable + Bank Overdraft + Outstanding Expenses
                          =  ` 90,000 +  ` 60,000 +  ` 50,000 +  ` 20,000 =  ` 2,20,000
Long-Term Debt = Total Debt – Current Liabilities
=  ` 12,00,000 –  ` 2,20,000 =  ` 9,80,000

Total assets to Debt ratio= Total assets / Long-Term Debt =15,00,000/9,80,000=1.53:1

 

Question 50:


Total Debt  `12,00,000; Shareholders' Funds  `2,00,000; Reserves and Surplus  `50,000; Current Assets  `5,00,000; Working Capital  `1,00,000. Calculate Total Assets to Debt Ratio.

Answer:


Working Capital

=

Current Assets-Current Liabilities

1,00,000

=

5,00,000-Current Liabilities

Current Liabilities

=

` 4,00,000

 

Debt

=

Total Debt-Current Liabilities

 

=

12,00,000 - 4,00,000 

 

=

` 8,00,000

 

Total Assets

=

Shareholders' Funds+ Total Debt                    

 

=

=

2,00,000+12,00,000

 ` 14,00,000

 

Total Assets to Debt Ratio

=

Total Assets/Debt                                           

 

=

=

14,00,000/8,00,000

1.75:1


Question 51:


Calculate ‘Total Assets to Debt ratio’ from the following information;

 

`

Equity share capital

4,00,000

Long-term Borrowings

1,80,000

Surplus, i.e. Balance in statement of profit and Loss

1,00,000

General reserve

70,000

Current Liabilities

30,000

Long-term Provision

1,20,000

Answers;


Total asset to debt ratio= total asset / debt

= 9,00,000/ 3,00,000

=3:1

 

Working note:

 

Wn-1.

Total Assets = Total Liabilities = Equity Share Capital + Long-term Borrowings + Surplus, i.e., Balance in Statement of Profit and Loss + General Reserve + Current Liabilities + Long-term Provisions = 9,00,000

 

Wn-2

Debt = Long-term Borrowings + Long-term Provisions = 3,00,000.

 

Question 52:


From the following information, calculate Total Assets to Debt Ratio:

 

`

 

 

`

Fixed Assets (Gross)

6,00,000

 

Accumulated Depreciation

1,00,000

Non-current Investments

10,000

 

Long-term Loans and Advances

40,000

Current Assets

2,50,000

 

Current Liabilities

2,00,000

Long-term Borrowings

3,00,000

 

Long-term Provisions

1,00,000

 

Answer:


Debts

=

Long-term Borrowings+Long Term Provisions

 

=

=

3,00,000+1,00,000

 ` 4,00,000

 

Total Assets

=

=

=

Non-Current Assets + Current Assets      

6,00,000 -1,00,000+10,000+2,50,000+40,000

 ` 8,00,000

 

Total Assets to Debt Ratio

=

Total Assets/Debt                                       

 

=

=

8,00,0004,00,000

2:1

 

Question 53:


From the following information, calculate Proprietary Ratio:
 

Share Capital

`3,00,000

Reserves and Surplus

`1,80,000

Non-current Assets

`13,20,000

Current Assets

` 6,00,000

 

Answer:


Proprietary Ratio=Shareholders' Funds

Total AssetsProprietary Ratio=Share Capital+Reserves and SurplusNon-Current Assets+Current 

Assets to Proprietary Ratio =3,00,000+1,80,000/13,20,000+6,00,000=0.25:1 or 25%

 

Question 54


From the following information, calculate Proprietary Ratio:

 

`

Equity Share Capital

3,00,000

Preference Share Capital

1,50,000

Reserves and Surplus

75,000

Debentures

1,80,000

Trade Payables

45,000

 

7,50,000

Fixed Assets

3,75,000

Short-term Investments

2,25,000

Other Current Assets

1,50,000

 

7,50,000

 

 

 

Answer:


Proprietary Ratio= Shareholders’ fund/Total Assets

Proprietary Ratio= 5,25,000×100/7,50,000=70%

Total Assets = Fixed Assets + Current Assets + Investments

Total Assets = 3,75,000 + 1,50,000 + 2,25,000 = 7,50,000

Shareholders’ Funds = Equity Share Capital + Preference Share Capital + Reserves and Surplus

= 3,00,000 + 1,50,000 + 75,000 = 5,25,000

 

Question 55:


Calculate Proprietary Ratio from the following:

Equity Shares Capital

` 4,50,000

9% Debentures

` 3,00,000

10% Preference Share Capital

` 3,20,000

Fixed Assets

` 7,00,000

Reserves and Surplus

` 65,000

Trade Investment

` 2,45,000

Creditors

` 1,10,000

Current Assets

` 3,00,000

Answer:


Total Assets = Fixed Assets + Trade Investments + Current Assets

= 7,00,000 + 2,45,000 + 3,00,000 = 12,45,000

Shareholders’ Funds = Equity Share Capital + 10% Preference Share Capital + Reserves and Surplus

= 4,50,000 + 3,20,000 + 65,000 = 8,35,000

Proprietary Ratio= Shareholders’ fund/Total Assets=8,35,000/12,45,000=0.67:1


Question 56:


Calculate Proprietary Ratio, if Total Assets to Debt Ratio is 2: 1. Debt is `5,00,000. Equity Shares Capital is 0.5 times of debt. Preference Shares Capital is 25% of equity share capital. Net profit before tax is `10,00,000 and rate of tax is 40%.

(CBSE Sample Paper 2020)

Answer:


Total Assets to Debt Ratio is 2: 1

Debt = `5,00,000

Total Assets = 10,00,000 (5,00,000×2)

Equity Shares Capital is 0.5 times of debt

Equity Shares Capital is(0.5×5,00,000)=2,50,000

Preference Shares Capital is 25% of equity share capital

2,50,000×25/100=62,500

Total Share Capital = Equity Shares Capital+ Preference Shares Capital

Total Share Capital = 2,50,000+62,500

Total Share Capital = 3,12,500

Rate of tax is 40%

Tax is 4,00,000 (40% of 10,00,000)

Surplus (Net Profit after Tax)=10,00,000-4,00,000

Surplus (Net Profit after Tax)=6,00,000

Share Holders’ Fund= Total Share Capital+ Surplus

Share Holders’ Fund= 3,12,500+ 6,00,000

Share Holders’ Fund= 3,12,500+ 6,00,000

Share Holders’ Fund= 9,12,500

Proprietary Ratio= Share Holders’ Fund/Total Assets

Proprietary Ratio= 9,12,500/10,00,000

Proprietary Ratio 0.912: 1 or 91.2%.

 

 Question 57:


State with reason, whether the Proprietary Ratio will improve, decline or will not change because of the following transactions if Proprietary Ratio is 0.8 : 1:

(i) Obtained a loan of  ` 5,00,000 from State Bank of India payable after five years.
(ii) Purchased machinery of  ` 2,00,000 by cheque.
(iii) Redeemed 7% Redeemable Preference Shares  ` 3,00,000.
(iv) Issued equity shares to the vendor of building purchased for  ` 7,00,000.
(v) Redeemed 10% redeemable debentures of  ` 6,00,000.

Answer:


Transaction

Impact

Obtained a loan of  ` 5,00,000 from State Bank of India payable after five years.

Total assets increase by 5,00,000 (as cash is coming in). However, since shareholders' funds remain unchanged, therefore proprietary ratio will decrease.

Purchased machinery of  ` 2,00,000 by cheque.

Total assets are increasing and decreasing by 2,00,000 simultaneously (as cash is going out and machinery is coming in). Thus, both numerator and denominator remain unchanged and so proprietary ratio will not change.

Redeemed 7% Redeemable Preference Shares  ` 3,00,000.

Both shareholders' funds and total assets decrease by 3,00,000 simultaneously and so proprietary ratio will decrease.

Issued equity shares to the vendor of building purchased for  ` 7,00,000.

Both shareholders' funds and total assets increase by 7,00,000 simultaneously and so proprietary ratio will improve.

Redeemed 10% redeemable debentures of  ` 6,00,000

Total assets decrease by 6,00,000 (as cash is going out). However, since shareholders' funds remain unchanged, therefore proprietary ratio will improve.

 

 

Question 58:


 From the following information, calculate:

(a) Proprietary Ratio

(b) Debt to Equity Ratio; and

(c) Total Assets to Debt Ratio.

Current Assets

`40,00,000

Current Liabilities

`20,00,000

Long-term Borrowings

`15,00,000

Long-term Provisions

`25,00,000

Non-current Assets

`40,00,000

 

 

Answer:


(a)   Proprietary Ratio

Proprietary Ratio= Share Holders’ Fund/Total Assets

Proprietary Ratio =20,00,000×100/80,00,000

Proprietary Ratio =25%

 

(b)   Debt to Equity Ratio

Debt to Equity Ratio= Debt/Equity

Debt to Equity Ratio= 40,00,000/20,00,000

Debt to Equity Ratio= 2/1=2:1

 

(c)   Total Assets to Debt Ratio

Total Assets to Debt Ratio= Total Assets/Debt

Total Assets to Debt Ratio= 80,00,000/40,00,000

Total Assets to Debt Ratio= 2/1=2:1

 

Working Notes:

1.      Total Assets=Current Assets+ Non-Current Assets

Total Assets=40,00,000+40,00,000

Total Assets=80,00,000

2.      Share holders’ fund= Total Assets - Current Liabilities - Long-term Provisions - Long-term Borrowings

Share holders’ fund=80,00,000-20,00,000-25,00,000-15,00,000

Share holders’ fund=20,00,000

Question 59:


From the following information, calculate:

 

(a)

Proprietary ratio;

 

 

(b)

Debt to equity ratio; and

 

 

(c)

Total assets to debts ratio

 

Current Debt

Capital employed

`18,00,000

`15,00,000

Current Assets

Working Capital

`7,50,000

`1,50,000








Answer;


Proprietary ratio=shareholders’ fund/total asset × 100

Proprietary ratio=3,00,000/21,00,000×100=14.29%

 

Total asset= capital employed + current liability

21,00,000= 15,00,000 + 6,00,000

 

Current liability= current assets - working capital

6,00,000= 7,50,000 -1,50,000

 

Shareholders' fund= capital employed- non-current liabilities

3,00,000= 15,00,000- 12,00,000

 

Debt = total debts- current liabilities

12,00,000 =18,00,000- 6,00,000

 

(b) Debt equity ratio

Debt to equity ratio= debt/equity

Debt to equity ratio =12,00,000/3,00,000

Debt to equity ratio =4/1

 

(c)

Total asset to debt ratio= total asset/ Debt

Total asset to debt ratio=21,00,000/12,00,000

Total asset to debt ratio=1.75:1

 

Question 60:


If Net Profit before Interest and Tax is `10,00,000 and interest on Long-term Funds is  `2,00,000, find Interest Coverage Ratio.

Answer:

Net Profit before Interest and Tax = 10,00,000

Interest = 2,00,000

Interest Coverage Ratio= Net Profit before Interest and Tax/Interest

Interest Coverage Ratio =10,00,000/2,00,000

Interest Coverage Ratio = 5 times

 


Question 61:


From the following information, calculate Interest Coverage Ratio: Profit after Tax  `4,25,000; Tax  `75,000; Interest on Long-term Funds  `1,25,000.

Answer:


Profit before Interest and Tax = Profit after Tax + Tax +Interest

Profit before Interest and Tax = 4,25,000 + 75,000 + 1,25,000

Profit before Interest and Tax = 6,25,000

Interest Coverage Ratio= Net Profit before Interest and Tax/Interest

Interest Coverage Ratio =6,25,000/1,25,000=5 times

Question 62;


From the following detail, calculate Interest Coverage ratio;

Net profit after Tax

`7,00,000

6% Debentures

`20,00,000

Tax Rate 30%

 

Answers;


Interest coverage ratio= net profit before interest and tax/ interest on long term debt

Interest coverage ratio =11,20,000/1,20,000

Interest coverage ratio =9.33

 

Working notes;

 

Wn-1

Net profit after tax=7,00,000

Tax rate 30%

Net profit after tax = 70%

Net profit before tax=7,00,000 × 100/70

Net profit before tax= 10,00,000

 

Wn-2

Interest on loan term borrowings=20,00,000×6/100=1,20,000

Net profit before Interest and tax= 10,00,000+1,20,000=11,20,000

 

Question 63;


From the following information, calculate Interest Coverage ratio;

Net profit after interest and  Tax `1,20,000;  Rate of Income tax;40%; 15%; Debentures `1,00,000;  12% Mortgage loan `1,00,000.

Answers;


Interest coverage ratio = net profit before interest and tax / interest on long term debt

Interest coverage ratio = 2,27,000/ 27,000

Interest coverage ratio = 8.41 times

 

Working notes;

 

Wn-1

Net profit after interest and tax 1,20,000

Rate of income tax 40%

Net profit before tax= 60%

Net profit before tax=1,20,000×100/60=2,00,000

 

Wn-2

Interest on long term borrowings= 27,000

Interest on debenture= 1,00,000 × 15 / 100= 15,000

Interest on 12% Mortgage loan= 1,00,000 ×12 / 100= 12,000

Net profit before interest and tax= 2,00,000+ 27,000 =2,27,000

 

Question 64:


From the following information, calculate Interest Coverage Ratio:

 

`

10,000 Equity Shares of  `10 each

1,00,000

8% Preference Shares

70,000

10% Debentures

50,000

Long-term Loans from Bank

50,000

Interest on Long-term Loans from Bank 

5,000

Profit after Tax

75,000

Tax

9,000

Answer:


Interest on 10% debentures=50,000×10/1000=5,000

Profit before Interest and Tax = Profit after Tax + Tax + Interest on Debentures + Interest on Long-term Loans from Bank

Profit before Interest and Tax = 75,000 + 9,000 + 5,000 + 5,000

Profit before Interest and Tax = 94,000

Total Interest Amount = Interest on Debentures + Interest on Long-term loans from Bank

Total Interest Amount = 5,000 + 5,000

Total Interest Amount = 10,000

Interest Coverage Ratio = Net Profit before Interest and Tax/Interest

Interest Coverage Ratio = 94,000/10,000

Interest Coverage Ratio = 9.4 times

Question 65:


From the following details, calculate Inventory Turnover Ratio:

 

`

Cost of Revenue from Operations (Cost of Goods Sold)

9,00,000

Inventory in the beginning of the year

2,50,000

Inventory at the close of the year

3,50,000


Answer:


Inventory tunover ratio

= Cost of goods sold / Average Stock

Cost of Goods Sold

= 9,00,000

Average Stock

= Opening Stock + Closing Stock/2

=2,50,000+3,50,000/2

= 3,00,000

Inventory turnover ratio

=9,00,000/3,00,000

= 3 Times


Question 66:


Cost of Revenue from Operations (Cost of Goods Sold)  `5,00,000; Purchases  `5,50,000; Opening Inventory  `1,00,000.
Calculate Inventory Turnover Ratio.

Answer:


Cost of Goods Sold = Opening Inventory + Purchases − Closing Inventory

5,00,000 = 1,00,000 + 5,50,000 − Closing Inventory

Closing Inventory = 1,50,000

Average Stock

= Opening Stock + Closing Stock/2

=1,00,000+1,50,000/2

= 1,25,000

Inventory tunover ratio

= Cost of goods sold / Average Inventory

=5,00,000/1,25,000

=4 times

 

Question 67:


Calculate Inventory Turnover Ratio from the following information:
Opening Inventory is  `50,000; Purchases  `3,90,000; Revenue from Operations, i.e., Net Sales  `6,00,000; Gross Profit Ratio 30%.

Answer:


Cost of Goods Sold = Net Sales – Gross Profit
                          =  ` 6,00,000 – 30% of  ` 6,00,000
                          =  ` 6,00,000 –  ` 1,80,000 =  ` 4,20,000

Cost of Goods Sold = Opening Inventory + Purchases – Closing Inventory
  ` 4,20,000  =  ` 50,000 +  ` 3,90,000 – Closing Inventory
Closing Inventory =   ` 50,000 +  ` 3,90,000 –  ` 4,20,000
                          =  ` 20,000



Average Stock

 

= Opening Stock + Closing Stock/2

=50,000+20,000/2=35,000

 

 

Stock turnover ratio

= Cost of Goods sold / Average Stock

 

=4,20,000/35,000

 

=12 Times

 

Question 68


From the following information, calculate Inventory Turnover Ratio:

Opening Inventory

` 2,00,000

Closing Inventory

` 60,000

Purchases

` 4,60,000

Wages

` 30,000

Carriage Inwards

` 20,000

Freight Outwards

` 37,500

 

Answers:


Inventory turnover ratio= Cost of revenue from operation/ average inventory

Inventory turnover ratio= 6,50,000 / 1,30,000 = 5 Times

Cost of revenue from operations

( cost of goods sold)

= opening inventory + purchases + carriage inward + wages - closing inventory

 

= 2,00,000 + 4,60,000 + 20,000 + 30,000-60,000

 

= 6,50,000

 

Average inventory

= opening inventory + closing inventory / 2

 

= 2,00,000 + 60,000 / 2

 

= 2,60,000 / 2

 

= 1,30,000

 

 Question 69:


:

Calculate Inventory Turnover Ratio from the following:

 

`

Opening Inventory

58,000

Closing Inventory

62,000

Revenue from Operations, i.e., Sales

6,40,000

Gross Profit Ratio 25%

Answer:


Sales = 6,40,000

Gross Profit = 25% on Sales

 

Gross profit=6,40,000×25/100=1,60,000

Cost of Goods Sold = Total Sales − Gross Profit

Cost of Goods Sold = 6,40,000 – 1,60,000

Cost of Goods Sold = 4,80,000

 

Average Inventory

 

= Opening Inventory + Closing Inventory /2

=58,000+62,000/2=60,000

 

 

Inventory turnover ratio

= Cost of Goods sold / Average Inventory

 

=4,80,000/60,000

 

=8 Times

Question 70:


From the following information, calculate Inventory Turnover Ratio:

 

`

Revenue from Operations

16,00,000

Average Inventory

2,20,000

Gross Loss Ratio 5%

 

Answer:


Cost of Revenue from Operations

=  Revenue from Operation+Gross Loss 

=  16,00,000+80,000

=   ` 16,80,000

Inventory Turnover Ratio

= Cost of Revenue from Operations/Average Inventory

= 16,80,000/2,20,000

= 7.64 Times


Question 71:


Revenue from Operations  `4,00,000; Gross Profit  `1,00,000; Closing Inventory  `1,20,000; Excess of Closing Inventory over Opening Inventory  `40,000. Calculate Inventory Turnover Ratio.

Answer:


Sales

= 4,00,000

Gross Profit

= 1,00,000

Cost of Goods Sold

= Sales − Gross Profit

= 4,00,000 − 1,00,000

 = 3,00,000

Let Opening Inventory

= x

Closing Inventory

= x + 40,000

1,20,000

= x + 40,000

x

= 80,000

Opening Inventory

= 80,000

Average Inventory= 80,000+1,20,000/2

Average Inventory= 1,00,000

Cost of Goods Sold = Revenue - Gross Profit

Cost of Goods Sold = 4,00,000 - 1,00,000=3,00,000

Inventory turnover Ratio= Cost of Goods Sold/Average inventory

 

Inventory turnover Ratio=3,00,000/1,00,000

Inventory turnover Ratio= 3 Times

Question 72:


From the following data, calculate Inventory Turnover Ratio:
Total Sales  `10,00,000; Sales Return  `1,00,000; Gross Profit  `1,80,000; Closing Inventory  `2,00,000; Excess of Closing Inventory over Opening Inventory  `20,000.

Answer:


Cost of Goods Sold = Net Sales (Sales – Sales Return) – Gross Profit
                              =  ` 10,00,000 –  ` 1,00,000 –  ` 1,80,000

       =  ` 7,20,000

Closing Inventory =  ` 2,00,000
Closing Inventory is  ` 40,000 more than the Opening Inventory


Therefore, Opening Inventory =  ` 1,60,000 ( `2,00,000 – ` 40,000)


Average Stock

 

= Opening Stock + Closing Stock/2

=1,60,000+2,00,000/2=1,80,000

 

 

Stock turnover ratio

= Cost of Goods sold / Average Stock

 

=7,20,000/1,80,000

 

= 4 Times

 

Question 73:


 `2,00,000 is the Cost of Revenue from Operations (Cost of Goods Sold), during the year. If Inventory Turnover Ratio is 8 times, calculate inventories at the end of the year. Inventories at the end is 1.5 times that of in the beginning.

Answer:


Inventory turnover ratio

= Cost of Goods sold / Average Inventory

8

=2,00,000/ Average Inventory

Average Inventory

= 25,000

Let Opening Inventory = x

Closing Inventory = 1.5 × x = 1.5 x

Average Inventory

= Opening Inventory + Closing Inventory /2

25,000

= x+1.5 x / 2

Or,    2.5x

=50,000

Or,         x

=20,000

Opening Inventory = x =  ` 20,000

Closing Inventory = 1.5 x = 20,000 × 1.5 =  ` 30,000

Question 74:


 From the following information obtained from the books of Kundan Ltd., calculate the Inventory Turnover Ratio for the years 2015-16 and 2016-17:

Particulars

2015-16

(`)

2016-17

(`)

Inventory on 31st March

Revenue from Operations

(Gross Profit is 25% on Cost of Revenue from Operations)

7,00,000

50,00,000

17,00,000

75,00,000

In the year 2015-16, inventory increased by `2,00,000. (Delhi and Al 2018)

 

Answer:


 

It is assumed

Cost =100

Profit=25

Revenue=125

 

Gross Profit=50,00,000×25/125=10,00,000

Cost of goods sold=50,00,000-10,00,000 =40,00,000

Opening Inventory=7,00,000-2,00,000=5,00,000

Average Inventory=5,00,000+7,00,000/2=6,00,000

Inventory turnover Ratio( 2015-16)= 40,00,000/6,00,000

Inventory turnover Ratio( 2015-16)= 6.67 Time

 

Gross Profit=75,00,000×25/125=15,00,000

Cost of goods sold=75,00,000-15,00,000 =60,00,000

Average Inventory=7,00,000+17,00,000/2=12,00,000

Inventory turnover Ratio ( 2016-17)= 60,00,000/12,00,000

Inventory turnover Ratio ( 2016-17)= 5 Times

 

Question 75:


Calculate Inventory Turnover Ratio from the following information:
Opening Inventory  ` 40,000; Purchases  ` 3,20,000; and Closing Inventory  ` 1,20,000.
State, giving reason, which of the following transactions would (i) increase, (ii) decrease, (iii) neither increase nor decrease the Inventory Turnover Ratio:
(a) Sale of goods for  ` 40,000 (Cost  ` 32,000).
(b) increase in the value of Closing Inventory by  ` 40,000.
(c) Goods purchased for  ` 80,000.
(d) Purchases Return  ` 20,000.
(e) goods costing  ` 10,000 withdrawn for personal use.
(f) Goods costing  ` 20,000 distributed as free samples.

Answer:


Cost of Goods Sold = Opening Stock + Purchases + Closing Stock

= 40,000 + 3,20,000 − 1,20,000 = 2,40,000

Average Stock

 

= Opening Stock + Closing Stock/2

=40,000+1,20,000/2=80,000

 

 

Stock turnover ratio

= Cost of Goods sold / Average Stock

 

=2,40,000/80,000

 

=3 Times

(a) Sale of goods for  ` 40,000 (Cost  ` 32,000)- Increase

Reason: This transaction will decrease stock at the end (closing stock). Decrease in closing stock will result increase the proportion of Cost of Goods Sold and decrease in Average Stock

(b) Increase in value of Closing Stock by 40,000- Decrease

Reason: Increase in Closing Stock results decrease in Cost of Goods Sold and increase in Average Stock.

(c) Goods purchased for  ` 80,000- Decrease

Reason: This Transaction increases the amount of Closing Stock. Increase in Closing Stock reduces the proportion of Cost of Goods Sold and Increase in Average Stock.

(d) Purchase Return  ` 20,000- Increase

Reason: It will result decrease in Cost of Goods Sold and Average Stock with same amount.

(e) Goods costing  ` 10,000 withdrawn for personal use- Increase

Reason: Drawing of goods will decrease the amount of Closing Stock and increase in Cost of Goods Sold.

(f) Goods costing  ` 20,000 distributed as free sample- Increase

Reason: Goods distributed as free sample reduces Closing Stock. Reduction in Closing Stock will result increase in Cost of Goods Sold and decrease in Average Stock.


Question 76:


Following figures have been extracted from Shivalika Mills Ltd.:

Inventory in the beginning of the year  ` 60,000.
Inventory at the end of the year  ` 1,00,000.
Inventory Turnover Ratio 8 times.
Selling price 25% above cost.

Compute amount of Gross Profit and Revenue from Operations (Net Sales).

Answer:


Average Inventory= Opening Inventory +Closing Inventory/2

=60,000+1,00,000/2=80,000

Inventory tunover ratio= Cost of goods sold / Average Stock

8 = Cost of goods sold / 80,000

Cost of goods sold=6,40,000

Gross Profit = 25% on Cost

Gross profit =6,40,000×25/100=1,60,000

Sales = Cost of Goods Sold + Gross Profit

= 6,40,000 + 1,60,000 = 8,00,000

Question 77:


From the following Information, calculate Inventory Turnover Ratio:
Credit Revenue from Operations  ` 6,00,000; Cash Revenue from Operations  ` 2,00,000, Gross Profit 25% of Cost, Closing Inventory was 3 times the Opening Inventory. Opening Inventory was 10% of Cost of Revenue from Operations.

Answer:


Average Inventory=60,000+1,80,000/2= ` 1,20,000

Opening Inventory=6,00,000×10%= ` 60,000

Closing Inventory=60,000×3= ` 1,80,000

Cost of Revenue from Operations=Revenue from Operations-Gross Profit

                                                      =8,00,000-2,00,000= ` 6,00,000

Inventory Turnover Ratio=Cost of Revenue from OperationsAverage Inventory                                      

                 =6,00,000/1,20,000=5 Times

 

 

 

 

Question 78:


From the following information, calculate value of Opening Inventory:

Closing Inventory

=

` 68,000

Total Sales 

=

` 4,80,000 (including Cash Sales  ` 1,20,000)

Total Purchases

=

` 3,60,000 (including Credit Purchases  ` 2,39,200)

Goods are sold at a profit of 25% on cost. 

Answer:


Let Cost of Goods Sold be = x

Gross profit=X×25/100=25X/100

 

Cost of goods sold = Sales – Gross profit

Or X=4,80,000-25X/100

Or X+25X/100=4,80,000

Or 125X/100=4,80,000

X=4,80,000×100/125=3,84,000

Cost of Goods Sold = x =  ` 3,84,000

 

Cost of Goods Sold = Opening Inventory (Stock) + Purchases − Closing Inventory (Stock)

3,84,000 = Opening Inventory + 3,60,000 − 68,000

Opening Inventory = 3,84,000 − 2,92,000 =  ` 92,000

 

Question 79:


From the following information, determine Opening and Closing inventories:

Inventory Turnover Ratio 5 Times, Total sales `2,00,000, Gross Profit Ratio 25%. Closing Inventory is more by `4,000 than the Opening Inventory.

Answer:


Sales = 2,00,000

Gross Profit = 25% on Sales

Gross Profit = 2,00,000×25/100=50,000

Cost of Goods Sold = Total Sales − Gross Profit

= 2,00,000 − 50,000 = 1,50,000

Inventory tunover ratio= Cost of goods sold / Average Stock

5=1,50,000/ Inventory tunover

Inventory tunover=30,000

Let Opening Inventory = x

Closing Inventory = x + 4,000

Average Stock

= Opening Stock + Closing Stock

30,000=X+X+4,000/2

Or, 60,000=2X+4,000

Or, X=28,000

Opening Inventory = x =  ` 28,000

Closing Inventory = x + 4,000 = 28,000 + 4,000 =  ` 32,000

 

Question 80:


Inventory Turnover Ratio 5 times; Cost of Revenue from Operations (Cost of Goods Sold)  ` 18,90,000. Calculate Opening Inventory and Closing Inventory if Inventory at the end is 2.5 times more than that in the beginning.

Answer:


Inventory tunover ratio= Cost of goods sold / Average Stock

5=18,90,000/Average Inventory

Average Inventory=3,78,000

Let Opening Inventory = x

Closing Inventory = 2.5x + x = 3.5 x

 

Average Inventory = Opening Inventory + Closing Inventory /2

3,78,000=X+3.5X/2

Or, 4.5X =7,56,000

Or,  X =1,68,000

 

Opening Inventory = x =  ` 1,68,000

Closing Inventory = 3.5 x = 3.5 × 1,68,000 =  ` 5,88,000



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