Chapter 21 – Calculation and Understanding of Accounting Ratios

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Chapter 21

Calculation and Understanding of Accounting Ratios

These notes explain how accounting ratios are calculated and what each ratio helps users understand. The chapter focuses on profitability, liquidity and efficiency, with worked examples and exam reminders.

Gross marginProfit marginROCECurrent ratioLiquid ratioTurnover days

Topic 1: What Accounting Ratios Show

Ratios compare figures in financial statements so users can judge performance more clearly.

Accounting ratio dashboard showing profitability, liquidity and efficiency

1. What are Accounting Ratios?

Accounting ratios are used to analyse the relationships between figures in financial statements.

Profitability

How well the business earns profit.

Liquidity

Ability to pay short-term debts.

Efficiency

How well resources are being managed.

Ratios are more useful when compared with previous years, similar businesses and industry averages.

Main ratios in this chapterArea
Gross marginProfitability
Profit marginProfitability
Return on capital employed (ROCE)Profitability / efficiency of capital
Current ratioLiquidity
Liquid (acid test) ratioLiquidity
Rate of inventory turnoverEfficiency
Trade receivables turnoverEfficiency
Trade payables turnoverEfficiency

Topic 2: Profitability Ratios

Profitability ratios show how much profit is earned from sales and how efficiently capital is used.

Gross margin, profit margin and ROCE formulas

2. Gross Margin

The gross margin measures the gross profit earned from sales.

Gross Margin = Gross Profit ÷ Sales Revenue × 100
Example
Sales revenue = $80,000
Gross profit = $24,000
Gross margin = $24,000 ÷ $80,000 × 100 = 30%
This means that for every $100 of sales, the business earns $30 gross profit.
Generally, a higher gross margin indicates more profitable sales.

3. Why Might Gross Margin Fall?

Example
Last year: sales = $100,000, gross profit = $40,000, gross margin = 40%.
This year: sales = $120,000, gross profit = $36,000, gross margin = 30%.
Even though sales increased, the business is making less gross profit from every $100 of sales.

4. How Can Gross Margin Be Improved?

These actions can have disadvantages. Higher prices may cause customers to buy elsewhere, while cheaper supplies may reduce product quality.

5. Profit Margin

The profit margin measures the profit for the year earned from sales.

Profit Margin = Profit for the Year ÷ Revenue × 100
Example
Sales revenue = $80,000
Profit for the year = $12,000
Profit margin = $12,000 ÷ $80,000 × 100 = 15%
This means the business makes $15 profit for every $100 of sales.

6. Gross Margin vs Profit Margin

RatioUses
Gross marginGross profit
Profit marginProfit for the year
Example
Gross margin = 30%
Profit margin = 15%
Difference = 30% − 15% = 15%
The difference between gross margin and profit margin can indicate expense control. In this example, expenses represent approximately 15% of sales revenue.

7. Return on Capital Employed – ROCE

Return on capital employed (ROCE) measures how efficiently the business uses the money invested in it.

ROCE = Profit Before Interest ÷ Capital Employed × 100
A higher ROCE generally indicates that the business is using its capital more efficiently.

8. What is Capital Employed?

The chapter gives two main ways of calculating capital employed:

Method 1

Capital Employed = Owner’s Equity + Non-Current Liabilities

Method 2

Capital Employed = Non-Current Assets + Current Assets − Current Liabilities

Example
Owner’s equity = $60,000
Long-term loan = $20,000
Capital employed = $60,000 + $20,000 = $80,000
If profit before interest = $12,000, ROCE = $12,000 ÷ $80,000 × 100 = 15%

9. Average Capital Employed

Sometimes the question may require average capital employed.

Average Capital Employed = (Opening Capital Employed + Closing Capital Employed) ÷ 2ROCE = Profit Before Interest ÷ Average Capital Employed × 100
If the question does not specify another method, the textbook recommends using Owner’s equity + Non-current liabilities.

Topic 3: Liquidity Ratios

Liquidity ratios show whether the business can pay its current liabilities.

Current ratio and liquid ratio formulas

10. Working Capital

Working capital is the amount available for the day-to-day running of the business.

Working Capital = Current Assets − Current Liabilities
Example
Current assets = $25,000
Current liabilities = $10,000
Working capital = $25,000 − $10,000 = $15,000

11. Current Ratio

The current ratio, also called the working capital ratio, measures the business’s ability to pay its current liabilities from its current assets.

Current Ratio = Current Assets ÷ Current LiabilitiesThe answer is expressed as a ratio, such as 2 : 1.
Example
Current assets = $30,000
Current liabilities = $15,000
Current ratio = $30,000 ÷ $15,000 = 2 : 1
This means the business has $2 of current assets for every $1 of current liabilities.

12. What is a Good Current Ratio?

The textbook states that a current ratio between approximately 1.5 : 1 and 2 : 1 is normally considered desirable.

This should not be treated as an absolute rule. The business should also consider the industry average, type of business, nature of current assets and nature of current liabilities.

13. Improving the Current Ratio

14. Liquid (Acid Test) Ratio

The liquid ratio, also called the acid test ratio, provides a stricter test of liquidity. Inventory is excluded because it is the least liquid current asset.

Liquid Ratio = (Current Assets − Inventory) ÷ Current Liabilities
Example
Current assets = $30,000
Inventory = $12,000
Current liabilities = $15,000
Liquid ratio = ($30,000 − $12,000) ÷ $15,000 = 1.2 : 1

15. What is a Good Liquid Ratio?

The textbook gives 1 : 1 as a generally desirable liquid ratio, although comparisons should again consider the industry and type of business.

Too low

A ratio much lower than 1 : 1 may indicate difficulty paying current liabilities.

Too high

A very high ratio may mean too much money is tied up in cash, bank balances and trade receivables. This money might be used more productively elsewhere.

16. Current Ratio vs Liquid Ratio

Current RatioLiquid Ratio
Includes inventory.Excludes inventory.
Measures general short-term liquidity.Stricter measure of liquidity.
Approximately 1.5–2 : 1 often desirable.Approximately 1 : 1 often desirable.
Acid test = take inventory OUT.

Topic 4: Efficiency Ratios

Efficiency ratios show how effectively inventory, receivables and payables are being managed.

Inventory turnover, receivables days and payables days formulas

17. Rate of Inventory Turnover

The rate of inventory turnover measures how many times inventory is sold and replaced during the year.

Inventory Turnover = Cost of Sales ÷ Average InventoryAverage Inventory = (Opening Inventory + Closing Inventory) ÷ 2

18. Inventory Turnover Example

Cost of sales = $45,000
Opening inventory = $6,000
Closing inventory = $4,000
Average inventory = ($6,000 + $4,000) ÷ 2 = $5,000
Inventory turnover = $45,000 ÷ $5,000 = 9 times
This means the business sells and replaces its average inventory approximately 9 times during the year.

19. Inventory Turnover in Days

Inventory Turnover Days = Average Inventory ÷ Cost of Sales × 365
Using the previous example
$5,000 ÷ $45,000 × 365 ≈ 41 days
This means inventory is held for an average of approximately 41 days before being sold.

20. High vs Low Inventory Turnover

High turnover may indicate

  • Goods sell quickly.
  • Inventory is well managed.
  • Less money is tied up in stock.
  • Goods are less likely to become outdated.

Low turnover may indicate

  • Too much inventory.
  • Slow sales.
  • Falling demand.
  • Uncompetitive prices.
  • Poor sales promotion.
  • Old or obsolete inventory.
  • Money unnecessarily tied up in inventory.
There is no single ideal turnover rate because different businesses sell very different products. A bakery may have a very high turnover, while a luxury-car dealer may naturally have a lower turnover.

21. Trade Receivables Turnover

The trade receivables turnover measures how long credit customers take, on average, to pay the business.

Trade Receivables Turnover = Trade Receivables ÷ Credit Sales × 365In weeks: Trade Receivables ÷ Credit Sales × 52In months: Trade Receivables ÷ Credit Sales × 12

22. Trade Receivables Example

Trade receivables = $20,000
Credit sales = $100,000
Receivables turnover = $20,000 ÷ $100,000 × 365 = 73 days
Customers take approximately 73 days to pay.
Use credit sales, not total sales, if cash sales are also given.

23. Why is Receivables Turnover Important?

Generally, a shorter collection period is better because cash is received faster, liquidity improves, the business can pay its own debts, and the risk of irrecoverable debts falls.

A long collection period may indicate weak credit control. However, a business may deliberately offer longer credit periods to attract customers.

24. Improving Trade Receivables Turnover

Example
Credit terms allowed = 40 days
Actual collection period = 30 days
This is generally good because customers are paying before the allowed credit period ends.

25. Trade Payables Turnover

The trade payables turnover measures how long the business takes, on average, to pay its credit suppliers.

Trade Payables Turnover = Trade Payables ÷ Credit Purchases × 365In weeks: Trade Payables ÷ Credit Purchases × 52In months: Trade Payables ÷ Credit Purchases × 12

26. Trade Payables Example

Trade payables = $5,000
Credit purchases = $50,000
Payables turnover = $5,000 ÷ $50,000 × 365 = 36.5 days
Rounded to approximately 37 days.
The textbook advises rounding turnover periods up to the next whole day.

27. Why is Payables Turnover Important?

A business should normally make good use of the credit period offered by suppliers without damaging its relationship with them. If credit terms are 40 days and the business pays in 37 days, it is making effective use of the credit period.

A rising payables period may indicate liquidity problems or inefficient payment of suppliers.

28. Problems with Paying Suppliers Too Late

Delaying payment can provide temporary interest-free finance, but it may cause:

Topic 5: Quick Formula and Meaning Guide

Use this final section for fast exam revision.

29. Quick Formula Guide

RatioFormula
Gross marginGross profit ÷ Sales × 100
Profit marginProfit for year ÷ Revenue × 100
ROCEProfit before interest ÷ Capital employed × 100
Working capitalCurrent assets − Current liabilities
Current ratioCurrent assets ÷ Current liabilities
Liquid ratio(Current assets − Inventory) ÷ Current liabilities
Average inventory(Opening inventory + Closing inventory) ÷ 2
Inventory turnoverCost of sales ÷ Average inventory
Inventory turnover daysAverage inventory ÷ Cost of sales × 365
Receivables turnoverTrade receivables ÷ Credit sales × 365
Payables turnoverTrade payables ÷ Credit purchases × 365

30. What Does Each Ratio Measure?

RatioMeasures
Gross marginProfitability of goods sold
Profit marginOverall profitability of sales
ROCEEfficiency of capital employed
Current ratioShort-term liquidity
Liquid ratioImmediate liquidity excluding inventory
Inventory turnoverEfficiency of inventory management
Receivables turnoverSpeed customers pay
Payables turnoverSpeed business pays suppliers

Remember

Profitability
Gross Margin = Gross Profit ÷ Sales × 100
Profit Margin = Profit for Year ÷ Revenue × 100
ROCE = Profit Before Interest ÷ Capital Employed × 100
Liquidity
Current Ratio = Current Assets ÷ Current Liabilities
Liquid Ratio = (Current Assets − Inventory) ÷ Current Liabilities
Efficiency
Inventory Turnover = Cost of Sales ÷ Average Inventory
Trade Receivables Days = Trade Receivables ÷ Credit Sales × 365
Trade Payables Days = Trade Payables ÷ Credit Purchases × 365
A ratio by itself tells us relatively little. It becomes much more useful when compared with previous years, competitors or industry averages.
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