1.Chapter Introduction

2. Meaning of Ratio Analysis

3. Accounting Ratios

4. Profitability Ratios

5. Turnover/Activity/Performance Ratios

6. Liquidity Ratios

7. Solvency Ratios

8. Practical Problems

 

 

1.Chapter Introduction:

The main objectives of this chapter are to:

• provide a broad classification of ratios.
• identify ratios which are appropriate for control of activities.
• attempt a system of ratios which responds to the needs of control by management.

2. Meaning of Ratio Analysis:

Ratio analysis is one of the techniques of financial analysis to evaluate the financial condition and performance of a business concern. Simply, ratio means the comparison of one figure to other relevant figure or figures.

According to Myers, " Ratio analysis of financial statements is a study of relationship among various financial factors in a business as disclosed by a single set of statements and a study of trend of these factors as shown in a series of statements."

Advantages and Uses of Ratio Analysis

There are various groups of people who are interested in analysis of financial position of a company. They use the ratio analysis to workout a particular financial characteristic of the company in which they are interested. Ratio analysis helps the various groups in the following manner: -

1. To workout the profitability: Accounting ratio help to measure the profitability of the business by calculating the various profitability ratios. It helps the management to know about the earning capacity of the business concern. In this way profitability ratios show the actual performance of the business.
2. To workout the solvency: With the help of solvency ratios, solvency of the company can be measured. These ratios show the relationship between the liabilities and assets. In case external liabilities are more than that of the assets of the company, it shows the unsound position of the business. In this case the business has to make it possible to repay its loans.
3. Helpful in analysis of financial statement: Ratio analysis help the outsiders just like creditors, shareholders, debenture-holders, bankers to know about the profitability and ability of the company to pay them interest and dividend etc.
4. Helpful in comparative analysis of the performance: With the help of ratio analysis a company may have comparative study of its performance to the previous years. In this way company comes to know about its weak point and be able to improve them.
5. To simplify the accounting information: Accounting ratios are very useful as they briefly summarise the result of detailed and complicated computations.
6. To workout the operating efficiency: Ratio analysis helps to workout the operating efficiency of the company with the help of various turnover ratios. All turnover ratios are worked out to evaluate the performance of the business in utilising the resources.
7. To workout short-term financial position: Ratio analysis helps to workout the short-term financial position of the company with the help of liquidity ratios. In case short-term financial position is not healthy efforts are made to improve it.
8. Helpful for forecasting purposes: Accounting ratios indicate the trend of the business. The trend is useful for estimating future. With the help of previous years’ ratios, estimates for future can be made. In this way these ratios provide the basis for preparing budgets and also determine future line of action.

Limitations of Ratio Analysis

In spite of many advantages, there are certain limitations of the ratio analysis techniques and they should be kept in mind while using them in interpreting financial statements. The following are the main limitations of accounting ratios:

1. Limited Comparability: Different firms apply different accounting policies. Therefore the ratio of one firm can not always be compared with the ratio of other firm. Some firms may value the closing stock on LIFO basis while some other firms may value on FIFO basis. Similarly there may be difference in providing depreciation of fixed assets or certain of provision for doubtful debts etc.
2. False Results: Accounting ratios are based on data drawn from accounting records. In case that data is correct, then only the ratios will be correct. For example, valuation of stock is based on very high price, the profits of the concern will be inflated and it will indicate a wrong financial position. The data therefore must be absolutely correct.
3. Effect of Price Level Changes: Price level changes often make the comparison of figures difficult over a period of time. Changes in price affects the cost of production, sales and also the value of assets. Therefore, it is necessary to make proper adjustment for price-level changes before any comparison.
4. Qualitative factors are ignored: Ratio analysis is a technique of quantitative analysis and thus, ignores qualitative factors, which may be important in decision making. For example, average collection period may be equal to standard credit period, but some debtors may be in the list of doubtful debts, which is not disclosed by ratio analysis.
5. Effect of window-dressing: In order to cover up their bad financial position some companies resort to window dressing. They may record the accounting data according to the convenience to show the financial position of the company in a better way.
6. Costly Technique: Ratio analysis is a costly technique and can be used by big business houses. Small business units are not able to afford it.
7. Misleading Results: In the absence of absolute data, the result may be misleading. For example, the gross profit of two firms is 25%. Whereas the profit earned by one is just Rs. 5,000 and sales are Rs. 20,000 and profit earned by the other one is Rs. 10,00,000 and sales are Rs. 40,00,000. Even the profitability of the two firms is same but the magnitude of their business is quite different.
8. Absence of standard university accepted terminology: There are no standard ratios, which are universally accepted for comparison purposes. As such, the significance of ratio analysis technique is reduced.

3. Accounting Ratios:

A relationship between various accounting figures, which are connected with each other, expressed in mathematical terms, is called accounting ratios.

According to Kennedy and Macmillan, "The relationship of one item to another expressed in simple mathematical form is known as ratio."

Robert Anthony defines a ratio as – "simply one number expressed in terms of another."

Accounting ratios are very useful as they briefly summarise the result of detailed and complicated computations. Absolute figures are useful but they do not convey much meaning. In terms of accounting ratios, comparison of these related figures makes them meaningful. For example, profit shown by two-business concern is Rs. 50,000 and Rs. 1,00,000. It is difficult to say which business concern is more efficient unless figures of capital investment or sales are also available.

Analysis and interpretation of various accounting ratio gives a better understanding of the financial condition and performance of a business concern.

4. Profitability Ratios:

Classification of various profitability ratios:

a.      Gross Profit Ratio (June 03)

b.     Net Profit Ratio

c.     Operating Profit Ratio

d.     Operating Ratio

e.      Return on Investment or Return on Capital Employed

f.       Return on Equity (Dec. 99, Jan. 01, Dec. 01)

g.     Earning Per Share

Meaning, Objective and Method of Calculation:

1. Gross Profit Ratio: Gross Profit Ratio shows the relationship between Gross Profit of the concern and its Net Sales. Gross Profit Ratio can be calculated in the following manner:

 

Gross Profit Ratio		Gross Profit
	=		x	100
		Net Sales

Where Gross Profit = Net Sales – Cost of Goods Sold

Cost of Goods Sold = Opening Stock + Net Purchases + Direct Expenses – Closing Stock

And Net Sales = Total Sales – Sales Return

Objective and Significance: Gross Profit Ratio provides guidelines to the concern whether it is earning sufficient profit to cover administration and marketing expenses and is able to cover its fixed expenses. The gross profit ratio of current year is compared to previous years’ ratios or it is compared with the ratios of the other concerns. The minor change in the ratio from year to year may be ignored but in case there is big change, it must be investigated. This investigation will be helpful to know about any departure from the standard mark-up and would indicate losses on account of theft, damage, bad stock system, bad sales policies and other such reasons.

However it is desirable that this ratio must be high and steady because any fall in it would put the management in difficulty in the realisation of fixed expenses of the business.

1. Net Profit Ratio: Net Profit Ratio shows the relationship between Net Profit of the concern and Its Net Sales. Net Profit Ratio can be calculated in the following manner:

Net Profit Ratio		Net Profit
	=		x	100
		Net Sales

Where Net Profit = Gross Profit – Selling and Distribution Expenses – Office and Administration Expenses – Financial Expenses – Non Operating Expenses + Non Operating Incomes.

And Net Sales = Total Sales – Sales Return

Objective and Significance: In order to work out overall efficiency of the concern Net Profit ratio is calculated. This ratio is helpful to determine the operational ability of the concern. While comparing the ratio to previous years’ ratios, the increment shows the efficiency of the concern.

1. Operating Profit Ratio: Operating Profit means profit earned by the concern from its business operation and not from the other sources. While calculating the net profit of the concern all incomes either they are not part of the business operation like Rent from tenants, Interest on Investment etc. are added and all non-operating expenses are deducted. So, while calculating operating profit these all are ignored and the concern comes to know about its business income from its business operations.

Operating Profit Ratio shows the relationship between Operating Profit and Net Sales. Operating Profit Ratio can be calculated in the following manner: -

Operating Profit Ratio		Operating Profit
	=		x	100
		Net Sales

Where Operating Profit = Gross Profit – Operating Expenses

Or Operating Profit = Net Profit + Non Operating Expenses – Non Operating Incomes

And Net Sales = Total Sales – Sales Return

Objective and Significance: Operating Profit Ratio indicates the earning capacity of the concern on the basis of its business operations and not from earning from the other sources. It shows whether the business is able to stand in the market or not.

1. Operating Ratio: Operating Ratio matches the operating cost to the net sales of the business. Operating Cost means Cost of goods sold plus Operating Expenses.

 

Operating Ratio		Operating Cost
	=		x	100
		Net Sales

Where Operating Cost = Cost of goods sold + Operating Expenses

Cost of Goods Sold = Opening Stock + Net Purchases + Direct Expenses – Closing Stock

Operating Expenses = Selling and Distribution Expenses, Office and Administration Expenses, Repair and Maintenance.

Objective and Significance: Operating Ratio is calculated in order to calculate the operating efficiency of the concern. As this ratio indicates about the percentage of operating cost to the net sales, so it is better for a concern to have this ratio in less percentage. The less percentage of cost means higher margin to earn profit.

1. Return on Investment or Return on Capital Employed: This ratio shows the relationship between the profit earned before interest and tax and the capital employed to earn such profit.

 

Return on Capital Employed		Net Profit before Interest, Tax and Dividend
	=		x	100
		Capital Employed

Where Capital Employed = Share Capital (Equity + Preference) + Reserves and Surplus + Long-term Loans – Fictitious Assets

Or Capital Employed = Fixed Assets + Current Assets – Current Liabilities

Objective and Significance: Return on capital employed measures the profit, which a firm earns on investing a unit of capital. The profit being the net result of all operations, the return on capital expresses all efficiencies and inefficiencies of a business. This ratio has a great importance to the shareholders and investors and also to management. To shareholders it indicates how much their capital is earning and to the management as to how efficiently it has been working. This ratio influences the market price of the shares. The higher the ratio, the better it is.

1. Return on Equity: Return on equity is also known as return on shareholders’ investment. The ratio establishes relationship between profit available to equity shareholders with equity shareholders’ funds.

 

Return on Equity		Net Profit after Interest, Tax and Preference Dividend
	=		x	100
		Equity Shareholders’ Funds

Where Equity Shareholders’ Funds = Equity Share Capital + Reserves and Surplus – Fictitious Assets

Objective and Significance:

• Return on Equity judges the profitability from the point of view of equity shareholders.
• This ratio has great interest to equity shareholders.
• The return on equity measures the profitability of equity funds invested in the firm.
• The investors favour the company with higher ROE.

1. Earning Per Share: Earning per share is calculated by dividing the net profit (after interest, tax and preference dividend) by the number of equity shares.

Earning Per Share		Net Profit after Interest, Tax and Preference Dividend
	=		x	100
		No. Of Equity Shares

Objective and Significance: Earning per share helps in determining the market price of the equity share of the company. It also helps to know whether the company is able to use its equity share capital effectively with compare to other companies. It also tells about the capacity of the company to pay dividends to its equity shareholders.

5. Turnover/Activity/Performance Ratios:

Classification of Turnover/Activity/Performance Ratios:

1. Capital Turnover Ratio
2. Fixed Assets Turnover Ratio
3. Working Capital Turnover Ratio
4. Stock Turnover Ratio
5. Debtors Turnover Ratio
6. Debt Collection Period

Meaning, Objective and Method of Calculation:

1. Capital Turnover Ratio: Capital turnover ratio establishes a relationship between net sales and capital employed. The ratio indicates the times by which the capital employed is used to generate sales. It is calculated as follows:

Capital Turnover Ratio		Net Sales
	=
		Capital Employed

1. Where Net Sales = Sales – Sales Return

   Capital Employed = Share Capital (Equity + Preference) + Reserves and Surplus + Long-term Loans – Fictitious Assets.

2. Objective and Significance: The objective of capital turnover ratio is to calculate how efficiently the capital invested in the business is being used and how many times the capital is turned into sales. Higher the ratio, better the efficiency of utilisation of capital and it would lead to higher profitability.
3. Fixed Assets Turnover Ratio: Fixed assets turnover ratio establishes a relationship between net sales and net fixed assets. This ratio indicates how well the fixed assets are being utilised.

 

Fixed Assets Turnover Ratio		Net Sales
	=
		Net Fixed Assets

In case Net Sales are not given in the question cost of goods sold may also be used in place of net sales. Net fixed assets are considered cost less depreciation.

Objective and Significance: This ratio expresses the number to times the fixed assets are being turned over in a stated period. It measures the efficiency with which fixed assets are employed. A high ratio means a high rate of efficiency of utilisation of fixed asset and low ratio means improper use of the assets.

1. Working Capital Turnover Ratio: Working capital turnover ratio establishes a relationship between net sales and working capital. This ratio measures the efficiency of utilisation of working capital.

 

Working Capital Turnover Ratio		Net Sales or Cost of Goods Sold
	=
		Net Working Capital

Where Net Working Capital = Current Assets – Current Liabilities

Objective and Significance: This ratio indicates the number of times the utilisation of working capital in the process of doing business. The higher is the ratio, the lower is the investment in working capital and the greater are the profits. However, a very high turnover indicates a sign of over-trading and puts the firm in financial difficulties. A low working capital turnover ratio indicates that the working capital has not been used efficiently.

1. Stock Turnover Ratio: Stock turnover ratio is a ratio between cost of goods sold and average stock. This ratio is also known as stock velocity or inventory turnover ratio.

 

Stock Turnover Ratio		Cost of Goods Sold
	=
		Average Stock

Where Average Stock = [Opening Stock + Closing Stock]/2

Cost of Goods Sold = Opening Stock + Net Purchases + Direct Expenses – Closing Stock

Objective and Significance: Stock is a most important component of working capital. This ratio provides guidelines to the management while framing stock policy. It measures how fast the stock is moving through the firm and generating sales. It helps to maintain a proper amount of stock to fulfill the requirements of the concern. A proper inventory turnover makes the business to earn a reasonable margin of profit.

1. Debtors’ Turnover Ratio: Debtors turnover ratio indicates the relation between net credit sales and average accounts receivables of the year. This ratio is also known as Debtors’ Velocity.

 

		Net Credit Sales
Debtors Turnover Ratio	=
		Average Accounts Receivables

Where Average Accounts Receivables = [Opening Debtors and B/R + Closing Debtors and B/R]/2

Credit Sales = Total Sales – Cash Sales

Objective and Significance: This ratio indicates the efficiency of the concern to collect the amount due from debtors. It determines the efficiency with which the trade debtors are managed. Higher the ratio, better it is as it proves that the debts are being collected very quickly.

1. Debt Collection Period: Debt collection period is the period over which the debtors are collected on an average basis. It indicates the rapidity or slowness with which the money is collected from debtors.

		12 Months or 365 Days
Debt Collection Period	=
		Debtors Turnover Ratio
	Or
		Average Trade Debtors
Debt Collection Period	=
		Average Net Credit Sales per day
	Or
		Average Debtors
365 days or 12 months	x
		Credit Sales

1. It may be noted that some authors prefer to use 360 days instead of 365 days for the sake of convenience.

   Objective and Significance: This ratio indicates how quickly and efficiently the debts are collected. The shorter the period the better it is and longer the period more the chances of bad debts. Although no standard period is prescribed anywhere, it depends on the nature of the industry.

6. Liquidity Ratios:

Classification of Liquidity Ratios:

1. Current Ratio
2. Liquid Ratio

Meaning, Objective and Method of Calculation:

1. Current Ratio: Current ratio is calculated in order to work out firm’s ability to pay off its short-term liabilities. This ratio is also called working capital ratio. This ratio explains the relationship between current assets and current liabilities of a business. Where current assets are those assets which are either in the form of cash or easily convertible into cash within a year. Similarly, liabilities, which are to be paid within an accounting year, are called current liabilities.

 

Current Ratio		Current Assets
	=
		Current Liabilities

Current Assets include Cash in hand, Cash at Bank, Sundry Debtors, Bills Receivable, Stock of Goods, Short-term Investments, Prepaid Expenses, Accrued Incomes etc.

Current Liabilities include Sundry Creditors, Bills Payable, Bank Overdraft, Outstanding Expenses etc.

Objective and Significance: Current ratio shows the short-term financial position of the business. This ratio measures the ability of the business to pay its current liabilities. The ideal current ratio is suppose to be 2:1 i.e. current assets must be twice the current liabilities. In case, this ratio is less than 2:1, the short-term financial position is not supposed to be very sound and in case, it is more than 2:1, it indicates idleness of working capital.

1. Liquid Ratio: Liquid ratio shows short-term solvency of a business in a true manner. It is also called acid-test ratio and quick ratio. It is calculated in order to know how quickly current liabilities can be paid with the help of quick assets. Quick assets mean those assets, which are quickly convertible into cash.

Liquid Ratio		Liquid Assets
	=
		Current Liabilities

1. Where liquid assets include Cash in hand, Cash at Bank, Sundry Debtors, Bills Receivable, Short-term Investments etc. In other words, all current assets are liquid assets except stock and prepaid expenses.

   Current liabilities include Sundry Creditors, Bills Payable, Bank Overdraft, Outstanding Expenses etc.

   Objective and Significance: Liquid ratio is calculated to work out the liquidity of a business. This ratio measures the ability of the business to pay its current liabilities in a real way. The ideal liquid ratio is suppose to be 1:1 i.e. liquid assets must be equal to the current liabilities. In case, this ratio is less than 1:1, it shows a very weak short-term financial position and in case, it is more than 1:1, it shows a better short-term financial position.

7. Solvency Ratios:

Classification of Solvency Ratios:

1. Debt-Equity Ratio
2. Debt to Total Funds Ratio
3. Fixed Assets Ratio
4. Proprietary Ratio
5. Interest Coverage Ratio

Meaning, Objective and Method of Calculation:

1. Debt-Equity Ratio: Debt equity ratio shows the relationship between long-term debts and shareholders funds’. It is also known as ‘External-Internal’ equity ratio.

 

Debt Equity Ratio		Debt
	=
		Equity

Where Debt (long term loans) include Debentures, Mortgage Loan, Bank Loan, Public Deposits, Loan from financial institution etc.

Equity (Shareholders’ Funds) = Share Capital (Equity + Preference) + Reserves and Surplus – Fictitious Assets

Objective and Significance: This ratio is a measure of owner’s stock in the business. Proprietors are always keen to have more funds from borrowings because:

(i) Their stake in the business is reduced and subsequently their risk too

(ii) Interest on loans or borrowings is a deductible expenditure while computing taxable profits. Dividend on shares is not so allowed by Income Tax Authorities.

The normally acceptable debt-equity ratio is 2:1.

1. Debt to Total Funds Ratio: This ratio gives same indication as the debt-equity ratio as this is a variation of debt-equity ratio. This ratio is also known as solvency ratio. This is a ratio between long-term debt and total long-term funds.

 

Debt to Total Funds Ratio		Debt
	=
		Total Funds

Where Debt (long term loans) include Debentures, Mortgage Loan, Bank Loan, Public Deposits, Loan from financial institution etc.

Total Funds = Equity + Debt = Capital Employed

Equity (Shareholders’ Funds) = Share Capital (Equity + Preference) + Reserves and Surplus – Fictitious Assets

Objective and Significance: Debt to Total Funds Ratios shows the proportion of long-term funds, which have been raised by way of loans. This ratio measures the long-term financial position and soundness of long-term financial policies. In India debt to total funds ratio of 2:3 or 0.67 is considered satisfactory. A higher proportion is not considered good and treated an indicator of risky long-term financial position of the business. It indicates that the business depends too much upon outsiders’ loans.

1. Fixed Assets Ratio: Fixed Assets Ratio establishes the relationship of Fixed Assets to Long-term Funds.

 

Fixed Assets Ratio		Long-term Funds
	=
		Net Fixed Assets

Where Long-term Funds = Share Capital (Equity + Preference) + Reserves and Surplus + Long-term Loans – Fictitious Assets

Net Fixed Assets means Fixed Assets at cost less depreciation. It will also include trade investments.

Objective and Significance: This ratio indicates as to what extent fixed assets are financed out of long-term funds. It is well established that fixed assets should be financed only out of long-term funds. This ratio workout the proportion of investment of funds from the point of view of long-term financial soundness. This ratio should be equal to 1. If the ratio is less than 1, it means the firm has adopted the impudent policy of using short-term funds for acquiring fixed assets. On the other hand, a very high ratio would indicate that long-term funds are being used for short-term purposes, i.e. for financing working capital.

1. Proprietary Ratio: Proprietary Ratio establishes the relationship between proprietors’ funds and total tangible assets. This ratio is also termed as ‘Net Worth to Total Assets’ or ‘Equity-Assets Ratio’.

 

Proprietary Ratio		Proprietors’ Funds
	=
		Total Assets

Where Proprietors’ Funds = Shareholders’ Funds = Share Capital (Equity + Preference) + Reserves and Surplus – Fictitious Assets

Total Assets include only Fixed Assets and Current Assets. Any intangible assets without any market value and fictitious assets are not included.

Objective and Significance: This ratio indicates the general financial position of the business concern. This ratio has a particular importance for the creditors who can ascertain the proportion of shareholder’s funds in the total assets of the business. Higher the ratio, greater the satisfaction for creditors of all types.

1. Interest Coverage Ratio: Interest Coverage Ratio is a ratio between ‘net profit before interest and tax’ and ‘interest on long-term loans’. This ratio is also termed as ‘Debt Service Ratio’.

Interest Coverage Ratio		Net Profit before Interest and Tax
	=
		Interest on Long-term Loans

1. Objective and Significance: This ratio expresses the satisfaction to the lenders of the concern whether the business will be able to earn sufficient profits to pay interest on long-term loans. This ratio indicates that how many times the profit covers the interest. It measures the margin of safety for the lenders. The higher the number, more secure the lender is in respect of periodical interest.

8. Practical Problems:

 

Q. The following is the Balance Sheet and Profit & Loss Account of H.S.G. Limited. (Dec. 02)

Balance Sheet

as on 31-3-2001

Profit & Loss Account

for the year ended 31-3-2001

Compute:

1. Return on Investment
2. Return on Net Worth
3. Earning per Share
4. Investment Turnover Ratio
5. Current Ratio

Solutions:

a)

Return on Investment		Net Profit before Interest and Tax
	=		x	100
		Capital Employed

 

	Rs. 70,000
=		x	100	=	29.78%
	Rs. 2,35,000

Where Capital Employed = Share Capital + Reserves and Surplus + 13% Debentures

= Rs. 1,20,000 + Rs. 35,000 + Rs. 80,000 = Rs. 2,35,000.

b)

Return on Net Worth		Net Profit + Int.
	=		x	100
		Net Assets

 

	29,600 + 10,400
=		x	100	=	13.33%
	3,00,000

c)

Earning per share		Net Profit after interest, tax and dividend
	=
		No. of Equity Shares

 

	Rs. 29,600
=		=	2.46
	12,000

d)

Investment Turnover Ratio		Net Sales
	=
		Investment (Capital Employed)

 

	Rs. 2,00,000
=		=	0.85 times.
	Rs. 2,35,000

e)

Current Ratio		Current Assets
	=
		Current Liabilities

 

	Rs. 1,45,000
=		=	2.23: 1
	Rs. 65,000

Where Current Assets = Inventories + Debtors + Cash at Bank + Prepaid Expenses

= Rs. 65,000 + Rs. 40,000 + Rs. 35,000 + Rs. 5,000 = Rs. 1,45,000

Current Liabilities = Sundry Creditors + Provision for Taxation

= Rs. 50,000 + Rs. 15,000 = Rs. 65,000.

Q. The following facts, relate to Excel Ltd. (Dec. 01)

Current ratio = 2.7

Quick ratio = 1.8

Current liabilities = Rs. 6,00,000

Inventory Turnover = 4 times

What would be the sales of the company.

Solutions:

Current Ratio		Current Assets
	=
		Current Liabilities

 

	CA
2.7 =
	6,00,000

CA = 16,20,000

Liquid Ratio		Liquid Assets (Quick assets)
	=
		Current Liabilities

 

	QA
1.8 =
	6,00,000

= 10,80,000

Stock = CA - QA = 16,20,000 - 10,80,000 = 5,40,000

Stock Turnover Ratio		Cost of Goods Sold or Sales
	=
		Average Stock

 

	Sales
4 =
	5,40,000

Sales = 21,60,000

NOTE: As only closing stock is given therefore this would be treated as average stock.

Q. (a) The margin of profit of Apex Industries is 10%, its total assets turnover ratio is 2 times, and its equity/total assets ratio is 40%. What would be the company's rate of return on equity? (June 01)

(b) If the net profit margin of the above firm is 25 percent, and the ROI is 10 percent, what would be the total assets turnover ratio ? (June 01)

Solutions:

(a)

Margin of profit = 10%

Total assets turnover = 2 times

Equity/total assets = 40%

ROE = (Total assets/equity) X total assets turnover ratio X net profit margin%

ROE = (100/40) X 2 X 10 = 50%

(b)

Total assets turnover		ROI
	=
		Net profit margin

= 10/25

= 0.4 times

Q. What is the rate of return on equity for a company whose profit margin is 12%, its total assets turnover ratio is 2 times, and its equity/total assets ratio is 40%. (June 00)

Solutions:

Margin of profit = 12%

Total assets turnover = 2 times

Equity/total assets = 40%

ROE = (Total assets/equity) X total assets turnover ratio X net profit margin%

ROE = (100/40) X 2 X 12 = 60%