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

 Accounting Ratio Ts grewal solution volume-3(2023-2024):part-2

Page No 4.112:

Question 81:

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

 




Page No 4.112:

Question 85:

Credit Revenue from Operations, i.e., Net Credit Sales for the year

1,20,000

Debtors

12,000

Billls Receivable

8,000

Calculate Trade Receivables Turnover Ratio.

Answer:

Trade receivable turnover ratio= Net sales/ Debtors+Bills receivable

Trade receivable turnover ratio= 1,20,000/12000+8,000=6 Times

Page No 4.112:

Question 86:

Calculate Trade Receivables Turnover Ratio from the following information:
 

 

Opening Balance ( `)

Closing Balance ( `)

Sundry Debtors

28,000 

25,000

Bills Receivable

7,000

15,000

Provision for Doubtful Debts

2,800

2,500


Total Sales  ` 1,00,000; Sales Return  ` 1,500; Cash Sales  ` 23,500.

Answer:

Net Credit Sales = Total Sales − Sales Return − Cash Sales

= 1,00,000 − 1,500 − 23,500 = 75,000

Average receivables= Opening Receivables +Closing Receivables/2

Average receivables= 28,000+7,000+25,000+15,000/2=37,500

Trade receivable turnover ratio= Net sales/ Average receivables

Trade receivable turnover ratio= 75,000/37,500 = 2 Times

 





 

 



Page No 4.113:

Question 89:

From the following particulars, determine Trade Receivables Turnover Ratio:
 

 

`

Revenue from Operations (Net Sales)

20,00,000

Credit Revenue from Operations (Credit Sales)

16,00,000

Trade Receivables

2,00,000

 

Answer:

Credit Sales = 16,00,000

Average Debtors = 2,00,000
Trade receivable turnover ratio= Net sales/ Average receivables

Trade receivable turnover ratio= 16,00,000/2,00,000= 8 Times

 



Page No 4.113:

Question 90:

Compute Trade Receivables Turnover Ratio from the following:
 

 

31st March, 2020( `)

31st March, 2021( `)

Revenue from Operations (Net Sales)

8,00,000 

7,00,000

Debtors in the beginning of year

83,000

1,17,000

Debtors at the end of year

1,17,000

83,000

Sales Return

1,00,000

50,000

Answer:

Average Debtors =Opening Debtors + Closing Debtors/2

 

In 2017 = 83,000 + 1,17,000/2 =  ` 1,00,000      

 

In 2018 =  1,17,000 + 83,000/2 =  ` 1,00,000

Debtors Turnover Ratio = Net Sales/Average Debtors               

In 2020         = 8,00,000/1,00,000 = 8 Times              

 In 2021        = 7,00,000/1,00,000 = 7 Times













page No 4.115:

Question 102:

Calculate Trade Payables Turnover Ratio for the year 2018-19 in each

of the alternative cases:
Case 1 : Closing Trade Payables  ` 45,000; Net Purchases  ` 3,60,000;

Purchases Return  ` 60,000; Cash Purchases  ` 90,000.
Case 2 : Opening Trade Payables  ` 15,000; Closing Trade Payables  `

45,000; Net Purchases  ` 3,60,000.
Case 3 : Closing Trade Payables  ` 45,000; Net Purchases  ` 3,60,000.
Case 4 : Closing Trade Payables (including  ` 25,000 due to a supplier of machinery) 

` 55,000; Net Credit Purchases  ` 3,60,000.

Answer:

Case 1

Net Credit Purchases = Net Purchases − Cash Purchases

= 3,60,000 − 90,000

= 2,70,000

Trade Payables Turnover Ratio = Net Credit Purchases/Closing Trade Payables                                     

= 2,70,000/45,000 

= 6 times

Case 2

Net Purchases = 3,60,000
Average Trade Payables = Opening Trade Payables + Closing Trade Payables/2                                                     

= 15,000 + 45,000/2 = 30,000

Trade Payables Turnover Ratio = Net Credit Purchases/Average Trade Payables  

= 3,60,000/30,000 = 12 times

Case 3

Trade Payable Turnover Ratio = Net Credit Purchases/Closing Trade Payables 

= 3,60,000/45,000 

= 8 times

Case 4

Net Credit Payables for Goods = Trade Payables − Creditors for Machinery

= 55,000 − 25,000

= 30,000

Trade Payables Turnover Ratio = Net Credit Purchases/Average Trade Payables 

= 3,60,000/30,000 

= 12 times

 




 



Page No 4.115:

Question 105:

Calculate Working Capital Turnover Ratio from the following information;

Revenue from Operations (Cost of Goods Sold) 24,00,000

Current Assets 10,00,000

Current Liabilities 4,00,000

 

Answer:

 

Working Capital = Current Assets - Current Liabilities

Working Capital = 10,00,000 – 4,00,000

Working Capital = 6,00,000

Working Capital Turnover Ratio = Revenue from operation/ Working Capital

Working Capital Turnover Ratio = 24,00,000/ 6,00,000

Working Capital Turnover Ratio = 4 Times


Page No 4.116:

Question 106:

From the following information, calculate Working Capital Turnover Ratio:

Cost of Revenue from Operations (Cost of Goods Sold) `5,00,000

Current Assets `2,50,000

Current Liabilities `1,50,000

Answer:

Working Capital

= Current Assets + Current Liabilities

 

= 2,50,000 + 1,50,000

 

= 1,00,000

Working Capital Turnover Ratio

= Cost of Revenue from Operations/ Working Capital

 

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

 

= 5 Times





page No 4.116:

Question 113:

Compute Gross Profit Ratio from the following information:
Cost of Revenue from Operations (Cost of Goods Sold)  `5,40,000;

Revenue from Operations (Net Sales)  `6,00,000.

Answer:

Gross Profit = Revenue from Operations – Cost of Revenue from Operations
                  = 6,00,000 – 5,40,000
                  =  ` 60,000
Gross Profit Ratio = Gross Profit Revenue from Operations × 100                    

= 60,0006,00,000 × 100                              

= 10%



page No 4.116:

Question 114:

From the following, calculate Gross Profit Ratio:
Gross Profit: `50,000; Revenue from Operations  `5,00,000; Sales Return:  `50,000.

Answer:

Net Sales =  ` 5,00,000

Gross Profit =  ` 50,000

Gross Profit Ratio = Gross Profit / Net Sales × 100                             

= 50,000/5,00,000 × 100 = 10%

Note: Here we will not deduct the amount of sales return

because the amount of net sales has already been provided in the question.



page No 4.116:

Question 115:

Compute Gross Profit Ratio from the following information:
Revenue from Operations, i.e., Net Sales =  `4,00,000; Gross Profit 25% on Cost.

Answer:

Gross Profit 25% on Cost.

Let Cost = x

Gross Profit = x × 25/00=25x/100

 

Sales = Cost + Gross Profit

4,00,000 =x+ 25x/100

 Or, 4,00,000 = 125x/100

Or, x= 4,00,000×100/125 = 3,20,000

 

Cost = x =  ` 3,20,000

Gross profit = Sales – Cost

Gross profit ratio= Gross profit / Net Sales ×100

= 80,000×100/4,00,000=20%

 




Page No 4.117:

Question 117:

From the following information, calculate Gross Profit Ratio:

 

`

 

 

`

Credit Sales

5,00,000

 

Decrease in Inventory

10,000

Purchases

3,00,000

 

Returns Outward

10,000

Carriage Inwards

10,000

 

Wages

50,000

 

 

 

Rate of Credit Sale to Cash Sale

4:1

 

Answer:

Credit Sale =  ` 5,00,000
Rate of Credit Sale to Cash Sale = 4:1
Cash Sale = 14 × 5,00,000 =  ` 1,25,000

Total Sales = Cash Sales + Credit Sales =  ` 1,25,000 +  ` 5,00,000 =  ` 6,25,000
Cost of Goods Sold = Purchases – Return Outward + Carriage Inwards + Wages + Decrease in Inventory
                          =  ` 3,00,000 –  ` 10,000 +  ` 10,000 +  ` 50,000 +  ` 10,000
                          =  ` 3,60,000
Gross Profit = Total Sales – Cost of Goods Sold
              =  ` 6,25,000 –  ` 3,60,000 =  ` 2,65,000

Gross Profit Ratio = Gross Profit / Net Sales × 100 = 2,65,000/6,25,000 × 100 = 42.40%



Page No 4.117:

Question 118:

From the following information, calculate Gross Profit Ratio:

 

`

 

`

Revenue from Operations:

 

 

 

Cash

2,00,000

Carriage Inwards

8,000

Credit

8,00,000

Salaries

42,000

Purchases:

 

Decrease in Inventory

1,22,000

Cash

40,000

Returns Outwards

20,000

Credit

3,60,000

Wages

20,000

 

(CBSE 2020 C)

 

Answer:

 

Total Sales= 2,00,000+8,00,000=10,00,000

Gross Profit= Total Sales + Wages- Purchases- Carriage Inwards- Returns Outwards-

Decrease in Inventory

Gross Profit= 10,00,000+20,000-4,00,000-8,000-20,000-1,22,000

Gross Profit=4,70,000

Gross Profit Ratio=Gross Profit ×100/ Revenue from Operations

Gross Profit Ratio=4,70,000 ×100/ 10,00,000

Gross Profit Ratio = 47%






Page No 4.118:

Question 128:

From the following information, calculate Operating Ratio:

Cost of Revenue

 

 

Revenue from Operation:

 

from Operations (Cost of Goods Sold)

`52,000

 

Gross Sales

` 88,000

Operating Expenses

`18,000

 

Sales Return

` 8,000

 

Answer:

Net Sales = Gross Sales - Sales Return               

= 88,000 - 8,000 =  ` 80,000

Operating Cost = Cost of Goods Sold + Operating Expenses                      

 = 52,000 + 18,000 =  ` 70,000

Operating Ratio = Operating Cost/Net Sales × 100                         

  = 70,000/80,000 × 100 = 87.5% 

 



Page No 4.118:

Question 129:

Calculate Cost of Revenue from Operations from the following information:
Revenue from Operations  ` 12,00,000; Operating Ratio 75%; Operating Expenses  ` 1,00,000.

Answer:

Given: Revenue from Operations (Net Sales)= ` 12,00,000

Operating Ratio=75%

Operating Expenses=  ` 1,00,000

Find out: 

Cost of Revenue from Operations

Operating Ratio=Operating Cost/ Net Sales×100/75

=Operating Cost/12,00,000

Operating Cost= ` 9,00,000

Operating Cost=Cost of Revenue from Operations+Operating Expenses

          9,00,000=Cost of Revenue from Operations+1,00,000

Cost of Revenue from Operations= ` 8,00,000



Page No 4.118:

Question 130:

Calculate Operating Ratio from the following information:
Operating Cost  ` 6,80,000; Gross Profit 25%; Operating Expenses  ` 80,000. 

Answer:

Given:

Operating Cost= ` 6,80,000

Operating Expenses= ` 80,000

Gross Profit Ratio=25%

Find out: Operating Ratio Operating Cost = Cost of Revenue from Operation+Operating Expenses 6,80,000=Cost of Revenue from Operations+80,000

Cost of Revenue from Operations= ` 6,00,000

Gross Profit=14th of sales=13rd of cost

Gross Profit=13×6,00,000= ` 2,00,000

Gross Profit Ratio=Gross Profit Net Sales×100/25=2,00,000

Net Sales×100

Net Sales= ` 8,00,000

Operating Ratio=Operating Cost/Net Sales×100                            

=6,80,000/8,00,000×100

=85%

 



 






Page No 4.118:

Question 133:

Calculate Operating Profit Ratio from the following

Revenue from Operations (Net Sales) `5,00,000

Cost of Revenue from Operations (Cost of Goods Sold) `2,00,000

Wages `1,00,000

Office and Administrative Expenses `50,000

Interest on Borrowings `5,000

 

Answer:

 

Operating Profit= Sales – Cost of Goods Sold- Office and Administrative Expenses

Operating Profit=5,00,000-2,00,000-50,000

Operating Profit=2,50,000

Operating Profit Ratio=2,50,000×100/5,00,000 = 50%

Operating Profit Ratio = 50%



Page No 4.118:

Question 134:

Calculate Operating Profit Ratio from the following information:
 

Opening Inventory

`1,00,000

 

Closing Inventory

`1,50,000

Purchases

` 10,00,000

 

Loss by fire

` 20,000

Revenue from Operations, i.e., Net Sales

` 14,70,000

 

Dividend Received

` 30,000

Administrative and Selling Expenses

` 1,70,000

 

 

 

Answer:

Cost of Goods Sold = Opening Inventory + Purchases – Closing Inventory
                          = 1,00,000 + 10,00,000 – 1,50,000 = 9,50,000
Operating Expenses = Administrative and Selling Expenses = 1,70,000
Operating Cost = Cost of Goods Sold + Operating Expenses
                    = 9,50,000 + 1,70,000 = 11,20,000
Net Sales = 14,70,000

Operating Ratio= Operating Cost/ Net Sales ×100

                           =11,20,000/14,70,000× 100=76.19%

Operating Profit Ratio = 100 – Operating Ratio = 100 – 76.19 = 23.81%



Page No 4.119:

Question 135:

What will be the Operating Profit Ratio, if Operating Ratio is 82.59%?

Answer:

Operating Ratio = 82.59%

Operating Ratio + Operating Profit Ratio = 100%

Operating Profit Ratio = 100% − 82.59% = 17.41%


Page No 4.119:

Question 136:

Calculate Operating Profit Ratio, in each of the following alternative cases:
Case 1:  Revenue from Operations (Net Sales)  `

20,00,000; Operating Profit  ` 3,00,000.


Case 2:  Revenue from Operations (Net Sales)  `

6,00,000; Operating Cost  ` 5,10,000.


Case 4:  Revenue from Operations (Net Sales)  `

3,60,000; Gross Profit 20% on Sales; Operating Expenses  ` 18,000


Case 4: Revenue from Operations (Net Sales)  `

4,50,000; Cost of Revenue from Operations  ` 3,60,000; Operating Expenses  ` 22,500.


Case 5: Cost of Goods Sold, i.e., Cost of Revenue from Operations

  ` 4,00,000; Gross Profit 20% on Sales; Operating Expenses  ` 25,000.
Answer:

Case 1

Operating Ratio= Operating Cost/ Net Sales ×100

                        =3,00,000/20,00,000× 100=15%

Case II

Operating Profit = Net Sales- Operating Cost

                        =6,00,000-5,10,000

                        =90,000

Operating Ratio= Operating Cost/ Net Sales ×100

                        =90,000/6,00,000× 100=15%

 

Case III

Net Sales = 3,60,000

Gross Profit = 20% on Sales

Gross Profit =20/100×3,60,000=72,000

Operating Profit = Net Sales- Operating Cost

                        =72,000-18,000

                        =54,000

Operating Ratio= Operating Cost/ Net Sales ×100

                        =54,000/3,60,000× 100=15%

 

Case IV

Net Sales = 4,50,000

Operating Profit = Net Sales- Cost of goods sold-Operation expenses

                        =4,50,000-3,60,000-22,500

                        =67,500

Operating Ratio= Operating Cost/ Net Sales ×100

                        =67,500/4,50,000× 100=15%

 

Case V

Gross profit = 20% on sales

Let Sales =x

Gross profit=x×20/100=20x/100

Sales = Cost Goods Sold + Gross Profit

x=4,00000+20x/100

Or, 80x/100=4,00,000

Or, x=5,00,000

∴Sales = 5,00,000

Operating Cost = Cost of Goods Sold+ Operating Expenses 

                        =4,00,000+25,000=4,25,000

Operating Profit = Net Sales- Cost of goods sold-Operation expenses

                        =5,00,000-4,00,000-25,000

=75,000

Operating Profit Ratio = Operating Profit/ Net Sales×100

                                    =75,000×100/5,00,000=15%




Question 139:

Revenue from Operations, i.e., Net Sales  ` 6,00,000. Calculate Net Profit Ratio.

Answer:

Net Sales = 6,00,000

Net profit = 60,000

Net Profit Ratio= Net profit ×100/Net Sales

                        = 60,000×100/6,00,000

                        = 10%








Page No 4.119:

Question 142:

Net Profit before Interest and Tax  `2,50,000;

Capital Employed  `10,00,000. Calculate Return on Investment.

Answer:

Net Profit before Interest and Tax = 2,50,000

Capital Employed = 10,00,000

Return on Investment = Net profit  Before Interest and Tax ×100/ Capital Employed

                                    = 2,50,000×100/10,00,000

                                    = 25%












Page No 4.120:

Question 147:

From the following Balance Sheet of Global Ltd., you are required to calculate

Return on Investment for the year 2020-21:

BALANCE SHEET OF GLOBAL LTD.

as at 31st March, 2021

Particulars

Note No.

Amount

 `

I. EQUITY AND LIABILITIES

1. Shareholder's Funds

 

 

(a) Share Capital–Equity Shares of  ` 10 each Fully paid

 

5,00,000

(b) Reserves and Surplus

 

4,20,000

2. Non-Current Liabilities

 

 

15% Long-term Borrowings

 

16,00,000

3. Current Liabilities

 

8,00,000

Total

 

33,20,000

II. ASSETS

 

 

1. Non-Current Assets

 

 

(a) Fixed Assets

 

16,00,000

(b) Non-Current Investments:

 

 

(i) 10% Investments

 

2,00,000

(ii) 10% Non-trade Investments

 

1,20,000

2. Current Assets

 

14,00,000

Total

 

33,20,000

Additional Information: Net Profit before Tax for the year 2020-21 is ` 9,72,000.

Answer:

Return on Investment = (Net Profit before Interest, Tax and Dividend/ Capital Employed × 100)
Interest on borrowings =  ` (16,00,000 × 15/100)=  ` 2,40,000
Net Profit before Tax =  ` 9,72,000
Net Profit before Interest and Tax =  ` (9,72,000 + 2,40,000) =  ` 12,12,000
Net Profit before Interest and Tax (excluding interest on Non-trade investments) =  `

(12,12,000 – 12,000) =  ` 12,00,000
Capital Employed = Shareholder’s Funds + Non-Current Liabilities – Non-Trade Investment
                    =  ` (5,00,000 + 4,20,000 + 16,00,000 – 1,20,000) =  ` 24,00,000
Return on Investment = (12,00,000/24,00,000 × 100) = 50%

 







Page No 4.121:

Question 151:

Calculate Revenue from Operations of BN Ltd. from the following information:

Current Assets 8,00,000

Quick Ratio is 1.5:1

Current Ratio is 2:1.

Inventory Turnover Ratio is 6 times.

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

(CBSE 2019)

 

Answer:

 

Current Ratio = Current Assets/ Current Liabilities

2:1 = 8,00,000/ Current Liabilities

Current Liabilities= 8,00,000/2=4,00,000

 

Quick Assets= 4,00,000×1.5=6,00,000

Working Capital = Current Assets - Current Liabilities

Working Capital = 8,00,000 – 4,00,000

Working Capital = 4,00,000

Inventory= Current Assets – Quick Assets

Inventory= 8,00,000 – 6,00,000

Inventory= 2,00,000

Inventory Turnover Ratio= Cost of Revenue from operation/Average Inventory

Cost of Revenue from operation = Inventory× Inventory Turnover Ratio

Cost of Revenue from operation = 2,00,000 × 6

Cost of Revenue from operation = 12,00,000

 

Profit of 25% on cost

therefore,

it is assumed that

Cost is equal to 100%

Revenue

=

Cost

+ Profit

125

=

100

+25

 

Hence,

Revenue= 12,00,000×125/100=15,00,000

 



Page No 4.121:

Question 152:

Following information is given about a company:

 

`

 

 

`

Revenue From Operations, i.e., Net Sales Gross Profit

1,50,000

 

Opening Inventory

29,000

Cost of Revenue From Operations

30,000

 

Closing Inventory

31,000

(Cost of Goods Sold)

1,20,000

 

Debtors

16,000


From the above information, calculate following ratios:

(i) Gross Profit Ratio,

(ii) Inventory Turnover Ratio, and 

(iii) Trade Receivables Turnover Ratio.

 

Answer:

(i)

Sales = 1,50,000

Gross Profit = 30,000

Gross Profit Ratio= Gross profit ×100/Net Sales

                        = 30,000×100/1,50,000

                        = 20%

(ii)

Opening Inventory = 29,000

Closing Inventory = 31,000

Average Inventory= Opening Inventory+ Closing Inventory/2

                                    =29,000+30,000/2

                                    =30,000

Cost of Goods Sold = 1,20,000

Inventory tunover ratio= Cost of goods sold / Average Inventory

                                    = 1,20,000/30,000

                                    = 4 Times

(iii)

Trade receivable turnover ratio= Net Credit sales/ Average Trade receivables

Trade receivable turnover ratio= 1,50,000/16,000

= 9.4 Times






Page No 4.122:

Question 154:

From the following calculate:

(a) Current Ratio; and
(b) Working Capital Turnover Ratio.

 

 

`

(i)

Revenue from Operations

1,50,000

(ii)

Total Assets

1,00,000

(iii)

Shareholders' Funds

60,000

(iv)

Non-current Liabilities

20,000

(v)

Non-current Assets

50,000

Answer:

A) Current Ratio = Current Assets Current Liabilities                       
Current Assets = Total Assets – Non Current Assets
                      = 1,00,000 – 50,000
                      =  ` 50,000


Total Assets = Total Liabilities = Shareholders’ Funds + Non-Current Liabilities + Current Liabilities
1,00,000 = 60,000 + 20,000 + Current Liabilities
Current Liabilities =  ` 20,000
      Current Ratio = 50,000/20,000 = 2.5 : 1

B) Working Capital Turnover Ratio = Revenue from Operations /Working Capital                                                        
Working Capital = Current Assets – Current Liabilities
                          = 50,000 – 20,000
                          =  ` 30,000


Working Capital Turnover Ratio = 1,50,000/30,000 =  5 times

 



Page No 4.122:

Question 155:

From the following information obtained from the books of Kamal Ltd., calculate

 

`

Revenue from Operations

2,50,000

Purchases

1,05,000

Carriage Inwards

4,000

Salaries

30,000

Decrease in Inventory

15,000

Return Outwards

5,000

Wages

18,000

(CBSE 2020)

Answer:

(i) Gross Profit= Revenue- Net Purchase- Carriage Inwards- Wages- Decrease in Inventory

Gross Profit= 2,50,000- (1,05,000-5,000)- 4,0000 – 18,000-15,000

Gross Profit=1,13,500

Gross Profit=1,13,500×100/2,50,000 =45.20%

(ii) Net Profit= Gross Profit –Salaries

Net Profit= 1,13,000 – 30,000

Net Profit= 83,000

Net Profit=83,500×100/2,50,000 =33.20%


Page No 4.123:

Question 156:

Calculate following ratios on the basis of the following information:
(i) Gross Profit Ratio;
(ii) Current Ratio;
(iii) Acid Test Ratio; and
(iv) Inventory Turnover Ratio.

 

`

 

 

`

Gross Profit

50,000

 

Revenue from Operations

1,00,000

Inventory

15,000

 

Trade Receivables

27,500

Cash and Cash Equivalents

17,500

 

Current Liabilities

40,000

 

Answer:

(i)

Gross Profit Ratio = Gross Profit /Revenue from Operations×100

Gross Profit Ratio = 50,000/1,00,000×100=50%

 

(ii)

Current Ratio = Current Assets/Current Liabilities

Current Ratio = Inventory + Cash and Cash Equivalents + Trade Receivables/Current Liabilities

Current Ratio=15,000+17,500+27,500/40,000

=1.5:1

 

(iii)

Liquid Ratio = Liquid Assets/Current Liabilities

Liquid Ratio = Cash and Cash Equivalents + Trade Receivables/Current Liabilities

Liquid Ratio = 17,500+27,500/40,000

=1.125:1

 

(iv)

Inventory Turnover Ratio = Cost of Goods Sold/Average Stock

Inventory Turnover Ratio = Revenue from Operations − Gross Profit/Average Stock Inventory 

                 Turnover Ratio = 1,00,000 − 50,000/15,000

                  =3.33times



Page No 4.123:

Question 157:

Calculate following ratios on the basis of the given information:

(i) Current Ratio; (ii) Acid Test Ratio; (iii) Operating Ratio; (iv) Gross Profit Ratio.

Current Assets

`3,50,000;

Revenue from Operations (Sales)

`6,00,000;

Current Liabilities

`1,75,000;

Operating Expenses

`2,00,000;

Inventory

`1,50,000;

Cost of Revenue from Operations

`3,00,000;

 

Answer:

(i)                 Current Ratio;

Current Ratio= Current Assets/ Current Liabilities

Current Ratio= 3,50,000/1,75,000

Current Ratio= 2/1= 2:1

(ii)              Acid Test Ratio;

Acid Test Ratio= Quick Assets/ Current Liabilities

Quick Assets=3,50,000-1,50,000=2,00,000

Current Ratio= 2,00,000/1,75,000

Current Ratio= 1.14:1

(iii)            Operating Ratio;

Operating Cost = Operating Expenses + Cost of Revenue from Operations

Operating Cost =2,00,000+3,00,000=5,00,000

Operating ratio= Operation Cost/ Revenue from Operation

Operating ratio= 5,00,000×100/6,00,000=83.33%

(iv)             Gross Profit Ratio

Gross Profit = Revenue from Operations (Sales) - Cost of Revenue from Operations

Gross Profit = 6,00,000-3,00,00

Gross Profit = 3,00,000

Gross Profit Ratio= Gross Profit×100/ Revenue from Operations

Gross Profit Ratio= 3,00,000×100/6,00,000 =50%



Page No 4.123:

Question 158:

From the information given below, calculate any three of the following ratio:

(i) Gross Profit Ratio;
(ii) Working Capital Turnover Ratio:
(iii) Debt to Equity Ratio; and
(iv) Proprietary Ratio.

 

`

 

 

`

Revenue from Operations (Net Sales)

5,00,000

 

Current Liabilities

1,40,000

Cost of Revenue from Operations (Cost of Goods Sold) 

3,00,000

 

Paid-up Share Capital

2,50,000

Current Assets

2,00,000

 

13% Debentures

1,00,000

Answer:

(i)

Net Sales = 5,00,000

Cost of Goods Sold = 3,00,000

Gross Profit = Net Sales − Cost of Goods Sold

= 5,00,000 − 3,00,000 = 2,00,000

Gross Profit Ratio= Gross profit ×100/Net Sales

                        = 2,00,000×100/5,00,000

                        = 40%

(ii)

Current Assets = 2,00,000

Current Liabilities = 1,40,000

Working Capital = Current Assets − Current Liabilities

= 2,00,000 − 1,40,000 = 60,000

Working Capital turnover ratio= Net Sales / Working Capital

                                                =5,00,000/60,000

                                                =8.33 Times

(iii)

Long-term Debts = 13% Debentures = 1,00,000

Equity = Paid-up Share Capital = 2,50,000

Debt-Equity Rato= Long-term Debts/ Equity

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

                                    =0.4:1

(iv)

    Total Assets = Total Liabilities

= Current Liabilities + Paid-up Share Capital + 13% Debentures

= 1,40,000 + 2,50,000 + 1,00,000

= 4,90,000

Propietary Ratio= Shareholders’ Fund/ Total Assets

                        =2,50,000/4,90,000

=0.51:1



Page No 4.123:

Question 159:

On the basis of the following information calculate: 

(i) Debt to Equity Ratio; and
(ii) Working Capital Turnover Ratio.

Information:

 

`

 

 

`

Revenue from Operations:

(a) Cash Sales

40,00,000

 

Paid-up Share Capital

17,00,000

 

(b) Credit Sales

20,00,000

 

6% Debentures

3,00,000

Cost of Goods Sold

 

35,00,000

 

9% Loan from Bank

7,00,000

Other Current Assets

 

8,00,000

 

Debentures Redemption Reserve

3,00,000

Current Liabilities

 

4,00,000

 

Closing Inventory 

1,00,000

Answer:

(i)

Long-term Debts = 6% Debentures + 9% Loan from Bank

= 3,00,000 + 7,00,000 = 10,00,000

Equity = Paid-up Share Capital + Debenture Redemption Reserve

= 17,00,000 + 3,00,000 = 20,00,000

Debts-Equity Ratio= Long-term Debts/ Equity

                                    =10,00,000/20,00,000

                                    =0.5:1

(ii)

Current Assets = Other Current Assets + Inventory

= 8,00,000 + 1,00,000

= 9,00,000

Working Capital = Current Assets − Current Liabilities

= 9,00,000 − 4,00,000

= 5,00,000

Net Sales = Cash Sales + Credit sales

= 40,00,000 + 20,00,000

= 60,00,000

Working Capital tunover Ratio=Net Sales/Working Capital

                                                =60,00,000/5,00,000

                                                = 12 Times



Page No 4.124:

Question 160:

From the following, calculate (a) Debt to Equity Ratio;

(b) Total Assets to Debt Ratio; and (c) Proprietary Ratio:
 

Equity Share Capital

` 75,000

 

Debentures 

` 75,000

Preference Share Capital

` 25,000

 

Trade Payable

` 40,000

General Reserve

` 45,000

 

Outstanding Expenses

` 10,000

Balance in Statement of Profit and Loss

` 30,000

 

 

 

Answer:

(a)

Debt to Equity Ratio=Long term Debts/Shareholders' Funds

Debt to Equity Ratio=Debentures

Equity=Share Capital+Preference Share Capital+General Reserve+Balance in Statement of Profit & Losss

Debt to Equity Ratio=75,000/75,000+25,000+45,000+30,000=0.43:1

(b)

Total Assets to Debt Ratio=Total Assets/Long term Debts

Total Assets to Debt Ratio=Equity Share Capital+Preference Share Capital+General Reserve+Balance in Statement of Profit & Loss/Debentures+Trade Payables+Outstanding ExpensesDebentures

Total Assets to Debt Ratio=75,000+25,000+45,000+30,000+75,000+40,000+10,000/75,000

       =4:1

(c)

Proprietary Ratio=Shareholders' Funds/Total Assets

Proprietary Ratio=Equity Share Capital+Preference Share Capital+General Reserve+Balance in Statement of Profit & Loss

Equity Share Capital+Preference Share Capital+General Reserve+Balance in Statement of Profit & Loss+Debentures+Trade Payables+Outstanding Expenses

Proprietary Ratio=75,000+25,000+45,000+30,000/75,000+25,000+45,000+30,000+75,000+40,000+10,000

   =0.58:1 or 58.33%




Page No 4.124:

Question 164:

From the following information, calculate Return on Investment (or Return on Capital Employed):

 

 

 

Particulars

`

Share Capital

5,00,000

Reserves and Surplus

2,50,000

Net Fixed Assets

22,50,000

Non-current Trade Investments

2,50,000

Current Assets

11,00,000

10% Long-term Borrowings

20,00,000

Current Liabilities

8,50,000

Long-term Provision

NIL

 

 

 

 

Answer:

Net Profit before tax = 6,00,000
Net Profit before interest, tax and dividend = Net Profit before tax + Interest on long-term borrowings
= 6,00,000 + 10% of 20,00,000 = 6,00,000 + 2,00,000 = 8,00,000

Capital Employed = Share Capital + Reserves and Surplus + Long-term borrowings
                        = 5,00,000 + 2,50,000 + 20,00,000 = 27,50,000

Return on Investment = Net profit  Before Interest, Tax and Dividend ×100/ Capital Employed

                                    =8,00,000×100/27,50,0000

                                    =29.09%



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