Short answers long answers : Solutions of Questions on Page Number : 272
NCERT Solutions for Class 12 Accountancy Chapter 5 – Accounting Ratios
Q1 :What do you mean by Ratio Analysis?
Answer : Ratio Analysis is a technique of financial analysis. It describes the relationship between various items of Balance Sheet and Income Statements. It helps us in ascertaining profitability, operational efficiency, solvency, etc. of a firm. It may be expressed as a fraction, proportion, percentage and in times. It enables budgetary controls by assessing qualitative relationship among different financial variables. Ratio Analysis provides vital information to various accounting users regarding the financial position and viability and performance of a firm. It also lays down the basic framework for decision making and policy designing by management.
Q2 : What are the various types of ratios?
Answer : Accounting ratios are classified in the following two ways.
I. Traditional Classification
II. Functional Classification
I. Traditional Classification: This classification is based on the financial statements, i.e. Profit and Loss Account and Balance Sheet. The Traditional Classification further bifurcates accounting ratios on the basis of the accounts to which the elements of a ratio belong. On the basis of accounts of financial statements, the Traditional Classification bifurcate accounting ratios as:
a. Income Statement Ratios: These are those ratios whose all the elements belong only to the Trading and Profit and Loss Account, like Gross Profit Ratio, etc.
b. Balance Sheet Ratios: These are those ratios whose all the elements belong only to the Balance Sheet, like Current Ratio, Debt Equity Ratio, etc.
c. Composite Ratios: These are those ratios whose elements belong both to the Trading and Profit and Loss Account as well as to the Balance Sheet, like Debtors Turnover Ratio, etc.
II. Functional Classification: This classification reflects the functional need and the purpose of calculating ratio. The basic rationale to compute ratio is to ascertain liquidity, solvency, financial performance and profitability of a business. Consequently, the Functional Classification classifies various accounting ratios as:
a. Liquidity Ratio: These ratios are calculated to determine short term solvency.
b. Solvency Ratio: These ratios are calculated to determine long term solvency.
c. Activity Ratio: These ratios are calculated for measuring the operational efficiency and efficacy of the operations. These ratios relate to sales or cost of goods sold.
d. Profitability Ratio: These ratios are calculated to assess the financial performance and the financial viability of the business.
Q3 :What are liquidity ratios? Discuss the importance of current and liquid ratio.
Answer : Liquidity ratios are calculated to determine the short-term solvency of a business, i.e. the ability of the business to pay back its current dues. Liquidity means easy conversion of assets into cash without any significant loss and delay.
Short-term creditors are interested in ascertaining liquidity ratios for timely payment of their debts.
Liquidity ratio includes
1. Current Ratio
2. Liquid Ratio or Quick Ratio
1. Current Ratio- It explains the relationship between current assets and current liabilities. It is calculated as:
Currents Assets are those assets that can be easily converted into cash within a short period of time like, cash in hand, cash at bank, marketable securities, debtors, stock, bills receivables, prepaid expenses. etc.
Current Liabilities are those liabilities that are to be repaid within a year like, bank overdraft, bills payables, Short-term creditors, provision for tax, outstanding expenses etc.
Importance of Current Ratio
It helps in assessing the firm’s ability to meet its current liabilities on time. The excess of current assets over current liabilities provide a sense of safety and security to the creditors. The ideal ratio of current assets over current liabilities is 2:1. It means that the firm has sufficient funds to meet its current liabilities. A higher ratio indicates poor investment policies of management and low ratio indicates shortage of working capital and lack of liquidity.
2. Liquid Ratio- It explains the relationship between liquid assets and current liabilities. It indicates whether a firm has sufficient funds to pay its current liabilities immediately. It is calculated as:
Importance of Liquid Ratio
It helps in determining whether a firm has sufficient funds if it has to pay all its current liabilities immediately.
It does not include stock, since it takes comparatively more time to convert the stock into cash. Further prepaid expenses are also not included in liquid assets, since these cannot be converted into cash. The ideal Liquidity Ratio is considered to be 1:1. It means that the firm has a rupee in form of liquid assets for every rupee of current liabilities.
Q4 : What relationships will be established to study:
a. Inventory Turnover
b. Debtor Turnover
c. Payables Turnover
d. Working Capital Turnover.
Answer :
a. Inventory Turnover Ratio: This ratio is computed to determine the efficiency with which the stock is used. This ratio is based on the relationship between cost of goods sold and average stock kept during the year.
b. Debtors Turnover Ratio: This ratio is computed to determine the rate at which the amount is collected from the debtors. It establishes the relationship between net credit sales and average accounts receivables.
c. Payable Turnover Ratio: This ratio is known as Creditors Turnover Ratio. It is computed to determine the rate at which the amount is paid to the creditors. It establishes the relationship between net credit purchases and average accounts payables.
d. Working Capital Turnover Ratio: This ratio is computed to determine how efficiently the working capital is utilised in making sales. It establishes the relationship between net sales and working capital.
Q5:What are important profitability ratios? How are they worked out?
Answer : Profitability ratios are calculated on the basis of profit earned by a business. This ratio gives a percentage measure to assess the financial viability, profitability and operational efficiency of the business. The various important Profitability Ratios are as follows:
1. Gross Profit Ratio
2. Operating Ratio
3. Operating Profit Ratio
4. Net Profit Ratio
5. Return on Investment or Capital Employed
6. Earnings per Share Ratio
7. Dividend Payout Ratio
8. Price Earnings Ratio
1. Gross Profit Ratio- It shows the relationship between Gross Profit and Net Sales. It depicts the trading efficiency of a business. A higher Gross Profit Ratio implies a better position of a business, whereas a low Gross Profit Ratio implies an inefficient unfavourable sales policy.
2. Operating Ratio- It shows the relationship between Cost of Operation and Net Sales. This ratio depicts the operational efficiency of a business. A low Operating Ratio implies higher operational efficiency of the business. A low Operating Ratio is considered better for the business as it enables the business to be left with a greater amount after covering its operation costs to pay for interests and dividends.
3. Operating Profit Ratio- It shows the relationship between the Operating Profit and Net Sales. It helps in assessing the operational efficiency and the performance of the business.
4. Net Profit Ratio- It shows the relationship between net profit and sales. Higher ratio is better for firm. It depicts the overall efficiency of a business and acts as an important tool to the investors for analysing and measuring the viability and performance of the business.
5. Return on Investment or Capital Employed- It shows the relationship between the profit earned and the capital employed to earn that profit. It is calculated as:
This ratio depicts the efficiency with which the business has utilised the capital invested by the investors. It is an important yardstick to assess the profit earning capacity of the business.
6. Earning per Shares- It shows the relationship between the amount of profit available to distribute as dividend among the equity shareholders and number of equity shares.
7. Dividend Payout Ratio- It shows the relationship between the dividend per share and earnings per share. This ratio depicts the amount of earnings that is distributed in the form of dividend among the shareholders. A high Dividend Payout Ratio implies a better position and goodwill of the business for the shareholders.
8. Price Earning Ratio- It shows the relationship between the market price of a share and the earnings per share. This ratio is the most common tool that is used in the stock markets. This ratio depicts the degree of reliance and trust that the shareholders have on the business. This ratio reflects the expectation of the shareholders regarding the rise in the future prices of the company’s shares. A higher Price Earning Ratio definitely enables a company to enjoy favourable position in the market.
Q6:The liquidity of a business firm is measured by its ability to satisfy its long-term obligations as they become due? Comment.
Answer : The liquidity of a business firm is measured by its ability to pay its long term obligations. The long term obligations include payments of principal amount on the due date and payments of interests on the regular basis. Long term solvency of any business can be calculated on the basis of the following ratios.
a. Debt-Equity Ratio- It depicts the relationship between the borrowed fund and owner’s funds. The lower the debt-equity ratio higher will be the degree of security to the lenders. A low debt-equity ratio implies that the company can easily meet its long term obligations.
b. Total Assets to Debt Ratio- It shows the relationship between the total assets and the long term loans. A high Total Assets to Debt Ratio implies that more assets are financed by the owner’s fund and the company can easily meet its long-term obligations. Thus, a higher ratio implies more security to the lenders.
c. Interest Coverage Ratio- This ratio depicts the relationship between amount of profit utilised for paying interest and amount of interest payable. A high Interest Coverage Ratio implies that the company can easily meet all its interest obligations out of its profit.
Q7: The current ratio provides a better measure of overall liquidity only when a firm’s inventory cannot easily be converted into cash. If inventory is liquid, the quick ratio is a preferred measure of overall liquidity. Explain.
Answer :
Current Ratio- It explains the relationship between current assets and current liabilities. It is calculated as:
Currents Assets are those assets that are easily converted into cash within a short period of time like cash in hand, cash at bank, marketable securities, debtors, stock, bills receivables, prepaid expenses. etc.
Current Liabilities are those liabilities that are to be repaid within a year like bank overdraft, bills payables, Short-term creditors, provision for tax, outstanding expenses etc.
Liquid Ratio- It explains the relationship between liquid assets and current liabilities. It indicates whether a firm has sufficient funds to pay its current liabilities immediately. It is calculated as:
Generally, Current Ratio is preferable for such type of business where the stock or the inventories cannot easily be converted into cash like heavy machinery manufacturing companies, locomotive companies, etc. This is because, the heavy stocks like machinery, heavy tools etc. cannot be easily sold off. But on the other hand, the businesses where the stock can be easily realised or sold off regard Liquid Ratio to be more suitable measure to reveal their liquidity position. For example, the inventories of a service sector company is very liquid as there are no stock kept for sale, so they prefer Liquid Ratio as a measure of overall liquidity.
Moreover, sometimes companies prefer to resort to Liquid Ratio instead of Current Ratio, if the prices of the stock held are prone to fluctuate. This is because if the prices of the inventories fluctuate more, then this may affect their liquidity position of the business and may reduce (or overcast) the Current Ratio. Consequently, they prefer Liquid Ratio as it excludes inventories and stocks.
Thirdly, if the stock forms the major portion of a company’s current assets, then they would prefer Current Ratio and not Liquid Ratio. This is because their current assets mostly consist of stock. The Liquid Ratio of such company will be very low as liquid assets exclude stock. This will reduce their Liquid Ratio and may create a bad image for the creditors. In such a case, Current Ratio provides better measure of overall liquidity.
Q8 :The average age of inventory is viewed as the average length of time inventory is held by the firm or as the average number of day’s sales in inventory. Explain.
Answer :
Inventory Turnover Ratio: This ratio is computed to determine the efficiency with which the stock is used. This ratio is based on the relationship between cost of goods sold and average stock kept during the year.
It shows the rate with which the stock is turned into sales or the number of times the stock in turned into sales during the year. In other words, this ratio reveals the average length of time for which the inventory is held by the firm.
Q9: Following is the Balance Sheet of Raj Oil Mills Limited as at March 31, 2014
| Particulars | Rs. |
| I. Equity and Liabilities: | |
|
1. Shareholders’ funds
|
|
|
a) Share capital
|
7,90,000 |
|
b) Reserves and surplus
|
35,000 |
|
2. Current Liabilities
|
|
|
a) Trade Payables
|
72,000 |
| Total | 8,97,000 |
| II. Assets | |
|
1. Non-current Assets
|
|
|
a) Fixed assets
|
|
|
Tangible assets
|
7,53,000 |
|
2. Current Assets
|
|
|
a) Inventories
|
55,800 |
|
b) Trade Receivables
|
28,800 |
|
c) Cash and cash equivalents
|
59,400 |
| Total | 8,97,000 |
Calculate Current Ratio.
Answer:
Current Assets = Inventories +Trade Receivables +Cash
= 55,800 + 28,800 + 59,400
= Rs 1,44,000
Current Liabilities = Trade Payables = Rs 72,000
Q10: Following is the Balance Sheet of Title Machine Ltd. as at March 31, 2006
| Particulars |
Amount
Rs.
|
| I. Equity and Liabilities | |
|
1. Shareholders’ funds
|
|
|
a) Share capital
|
24,00,000 |
|
b) Reserves and surplus
|
6,00,000 |
|
2. Non-current liabilities
|
|
|
a) Long-term borrowings
|
9,00,000 |
|
3. Current liabilities
|
|
|
a) Short-term borrowings
|
6,00,000 |
|
b) Trade payables
|
23,40,000 |
|
c) Short-term provisions
|
60,000 |
| Total | 69,00,000 |
| II. Assets | |
|
1. Non-current Assets
|
|
|
a) Fixed assets
|
|
|
Tangible assets
|
45,00,000 |
|
2. Current Assets
|
|
|
a) Inventories
|
12,00,000 |
|
b) Trade receivables
|
9,00,000 |
|
c) Cash and cash equivalents
|
2,28,000 |
|
d) Short-term loans and advances
|
72,000 |
| Total | 69,00,000 |
Calculate Current Ratio and Liquid Ratio.
Answer:
1.Current Ratio:
Current Assets = Inventories +Trade Receivables + Cash + Short term Loans and Advances
= 12,00,000 + 9,00,000 + 2,28,000 + 72,000
= Rs 24,00,000
Current Liabilities = Trade Payables + Short-term Borrowings + Short-term Provisions
= 23,40,000 + 6,00,000 + 60,000
= Rs 30,00,000
2.Quick Ratio
Quick Assets = Trade Receivables + Cash + Short term Loans and Advances
= 9,00,000 + 2,28,000 + 72,000
= Rs 12,00,000
Q11: Current Ratio is 3.5:1. Working Capital is Rs 90,000. Calculate the amount of Current Assets and Current Liabilities.
Answer:
or, Current Assets = 3.5 Current Liabilities (1)
Working Capital = Current Assets − Current Liabilities
Working Capital = 90,000
or, Current Assets − Current Liabilities = 90,000
or, 3.5 Current Liabilities − Current Liabilities = 90,000 (from 1)
or, 2.5 Current Liabilities = 90,000
Q12: Shine Limited has a current ratio 4.5:1 and quick ratio 3:1; if the stock is 36,000, calculate current liabilities and current assets.
Answer :
or, 
or, 4.5 Current Liabilities = Current Assets
or, 
or, 3Current Liabilities = Quick Assets
or, 4.5 Current Liabilities – 3 Current Liabilities = 36,000
or, 1.5 Current Liabilities = 36,000
or, Current Liabilities = 24,000
Current Assets = 4.5 Current Liabilities
Q13: Current liabilities of a company are Rs 75,000. If current ratio is 4:1 and liquid ratio is 1:1, calculate value of current assets, liquid assets and stock.
Answer:
or, 4 × 75,000 = Current Assets
or, Current Assets = 3,00,000
or,
Liquid Assets = 75,000
Q14: Handa Ltd.has stock of Rs 20,000. Total liquid assets are Rs 1,00,000 and quick ratio is 2:1. Calculate current ratio.
Answer:
or, 
Q15: Calculate debt equity ratio from the following information:
Answer:
|
Rs |
|
|
Total Assets |
15,00,000 |
|
Current Liabilities |
6,00,000 |
|
Total Debts |
12,00,000 |
Answer:
Long Term Debts = Total Debts – Current Liabilities
Q16: Calculate Current Ratio if:
Stock is Rs 6,00,000; Liquid Assets Rs 24,00,000; Quick Ratio 2:1.
Answer:
Q17: Compute Stock Turnover Ratio from the following information:
|
Rs |
|
|
Net Revenue from Operations |
2,00,000 |
|
Gross Profit |
50,000 |
|
Inventory at the end |
60,000 |
|
Excess of inventory at the end over inventory in the beginning |
20,000 |
Answer:
Q18:Calculate following ratios from the following information:
(i) Current ratio (ii) Acid test ratio (iii) Operating Ratio (iv) Gross Profit Ratio
|
Rs |
|
|
Current Assets |
35,000 |
|
Current Liabilities |
17,500 |
|
Stock |
15,000 |
|
Operating Expenses |
20,000 |
|
Sales |
60,000 |
|
Cost of Goods Sold |
30,000 |
Answer:
i) 
ii) 
iii)
iv)
Q19: From the following information calculate:
(i) Gross Profit Ratio (ii) Inventory Turnover Ratio (iii) Current Ratio (iv) Liquid Ratio (v) Net Profit Ratio (vi) Working capital Ratio:
|
Rs |
|
|
Revenue from Operations |
25,20,000 |
|
Net Profit |
3,60,000 |
|
Cast of Revenue from Operations |
19,20,000 |
|
Long-term Debts |
9,00,000 |
|
Trade Payables |
2,00,000 |
|
Average Inventory |
8,00,000 |
|
Current Assets |
7,60,000 |
|
Fixed Assets |
14,40,000 |
|
Current Liabilities |
6,00,000 |
|
Net Profit before Interest and Tax |
8,00,000 |
Answer:
(i)
(ii)
(iii) 
(iv)
(v)
(vi)
Note There is a misprint in the question given in the textbook. The figure of Rs ‘760,000’ represents the value of ‘Liquid Assets’ and not ‘Current Assets’. The above solution has been worked out accordingly and the answer given as per the textbook is same as per the above solution.
Q20: Compute Gross Profit Ratio, Working Capital Turnover Ratio, Debt Equity Ratio and Proprietary Ratio from the following information:
|
Rs |
|
|
Paid-up Share Capital |
5,00,000 |
|
Current Assets |
4,00,000 |
|
Revenue from Operations |
10,00,000 |
|
13% Debentures |
2,00,000 |
|
Current Liabilities |
2,80,000 |
|
Cost of Revenue from Operations |
6,00,000 |
Answer:
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Q21: Calculate Stock Turnover Ratio if:
Opening Stock is Rs 76,250, Closing Stock is 98,500, Sales is Rs 5,20,000, Sales Return is Rs 20,000, Purchases is Rs 3,22,250.
Answer :
Q22: Calculate Inventory Turnover Ratio from the data given below:
|
Rs |
|
|
Inventory at the beginning of the year |
10,000 |
|
Stock* at the end of the year |
5,000 |
|
Carriage |
2,500 |
|
Revenue from Operations |
50,000 |
|
Purchases |
25,000 |
*Since the very first item is Inventory in the beginning, so this item should be Inventory at the end.
Answer:
Q23: A trading firm’s average stock is Rs 20,000 (cost). If the stock turnover ratio is 8 times and the firm sells goods at a profit of 20% on sale, ascertain the profit of the firm.
Answer:
Let Sale Price be Rs 100
Then Profit is Rs 20
Hence, the Cost of Goods Sold = Rs 100 – Rs 20 = Rs 80
If the Cost of Goods Sold is Rs 80, then Sales = 100
If the Cost of Goods Sold is Rs 1, then Sales = 
Q24: You are able to collect the following information about a company for two years:
|
2012-13 |
2013-14 |
|||
|
Book Debts on Apr. 01 |
Rs |
4,00,000 |
Rs |
5,00,000 |
|
Book Debts on Mar. 31 |
Rs |
5,60,000 |
||
|
Stock in trade on Mar. 31 |
Rs |
6,00,000 |
Rs |
9,00,000 |
|
Revenue from Operations (at gross profit of 25%) |
Rs |
3,00,000 |
Rs |
24,00,000 |
Calculate Inventory Turnover Ratio and Trade Receivables Turnover Ratio if in the year 2012-13 stock in trade increased by Rs 2,00,000.
Answer:
or,
Note: It has been assumed that all sales are credit sales
Q25: The following Balance Sheet and other information, calculate following ratios:
(i) Debt Equity Ratio (ii) Working Capital Turnover Ratio (iii) Debtors Turnover Ratio
| Balance Sheet as at March 31, 2014 | ||
| Particulars | Note No. | Rs. |
| I. Equity and Liabilities: | ||
|
1. Shareholders’ funds
|
||
|
a) Share capital
|
10,00,000 | |
|
b) Reserves and surplus
|
9,00,000 | |
|
2. Non-current Liabilities
|
||
|
a) Long-term borrowings
|
12,00,000 | |
|
3. Current Liabilities
|
||
|
a) Trade payables
|
5,00,000 | |
| Total | 36,00,000 | |
| II. Assets | ||
|
1. Non-current Assets
|
||
|
a) Fixed assets
|
||
|
Tangible assets
|
18,00,000 | |
|
2. Current Assets
|
||
|
a) Inventories
|
4,00,000 | |
|
b) Trade Receivables
|
9,00,000 | |
|
c) Cash and cash equivalents
|
5,00,000 | |
| Total | 36,00,000 | |
Additional Information: Revenue from Operations Rs. 18,00,000 Calculate:
i) Debt-Equity Ratio
ii) Working Capital Turnover Ratio
iii) Trade Receivables Turnover Ratio
(Debt-Equity Ratio 0.63:1; Working Capital Turnover Ratio 1.39 times; Trade Receivables Turnover Ratio 2 times)
Answer:
1. Debt-Equity Ratio
Debt = Long Term Borrowings = Rs 12,00,0000
Equity = Share Capital + Reserve and Surplus
= 10,00,000 + 9,00,000
= Rs 19,00,000
2.Working Capital Turnover Ratio
Revenue from Operations = Rs 18, 00,000
Working Capital = Current Assets – Current Liabilities
= 18,00,000 – 5,00,000
= Rs 13,00,000
3.Trade Receivables Turnover Ratio
Net Credit Sales = Rs 18,00,000
Average Trade Receivables = Rs 9,00,000
Notes
1. Revenue from Operations are assumed to be revenue generated from credit sales.
2. The amount of trade receivables given in the Balance Sheet is assumed to be Average Trade Receivables.
Q26: From the following information, calculate the following ratios:
i) Quick Ratio
ii) Inventory Turnover Ratio
iii) Return on Investment
| Rs. | |
| Inventory in the beginning | 50,000 |
| Inventory at the end | 60,000 |
| Revenue from operations | 4,00,000 |
| Gross Profit | 1,94,000 |
| Cash and Cash Equivalents | 40,000 |
| Trade Receivables | 1,00,000 |
| Trade Payables | 1,90,000 |
| Other Current Liabilities | 70,000 |
| Share Capital | 2,00,000 |
| Reserves and Surplus | 1,40,000 |
(Balance in the Statement of Profit & Loss A/c)
Answer:
Q27: From the following, calculate (a) Debt Equity Ratio (b) Total Assets to Debt Ratio (c) Proprietary Ratio.
|
Rs |
|
|
Equity Share Capital |
75,000 |
|
Preference Share Capital |
25,000 |
|
General Reserve |
45,000 |
|
Accumulated Profits |
30,000 |
|
Debentures |
75,000 |
|
Sundry Creditors |
40,000 |
|
Outstanding Expenses |
10,000 |
Answer:
Debt = Debentures = 75,000
Q28: Cost of Revenue from Operations is Rs 1,50,000. Operating expenses are Rs 60,000. Revenue from Operations is Rs 2,50,000. Calculate Operating Ratio.
Answer:
Q29: The following is the summerised transactions and Statement of Profit and Loss Account for the year ending March 31, 2007 and the Balance Sheet as on the basis of following information, calculate:
(i) Gross Profit Ratio (ii) Current Ratio (iii) Acid Test Ratio (iv) Inventory Turnover Ratio (v) Fixed Assets Turnover Ratio
| Rs. | |
| 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 |
| Land & Building | 50,000 |
| Plant & Machinery | 30,000 |
| Furniture | 20,000 |
Answer:
Average Inventory = 15,000
*Note: Since values for inventory in the beginning and inventory at the end is not given, the amount of inventory is assumed to be average inventory.
Q30: From the following information calculate Gross Profit Ratio, Inventory Turnover Ratio and Trade Receivables Turnover Ratio.
|
Rs |
|
|
Revenue from Operations |
3,00,000 |
|
Cost of Revenue from Operations |
2,40,000 |
|
Inventory at the end |
62,000 |
|
Gross Profit |
60,000 |
|
Inventory in the beginning |
58,000 |
|
Trade Receivables |
32,000 |
Answer:
Note: In the solution, Trade Receivables are assumed as the Average Trade Receivables