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Financial Accounting · Analysis of financial statements

Profitability Ratios: Margins, ROCE and ROE Explained

Updated 11 October 2026 · Fact-checked

Profitability ratios measure how well a business turns revenue and capital into profit. Calculate gross profit margin, operating profit margin, ROCE and ROE from the financial statements, compare them with the prior year or a benchmark, then explain the change by linking it to revenue, costs and capital.

Understand Profitability Ratios

Profit on its own tells you little. A profit of $50,000 is excellent for a small shop and poor for a large factory. Profitability ratios fix this by comparing profit with something else: either revenue (margins) or the money invested in the business (returns).

Margins compare profit with revenue. Gross profit margin uses gross profit, which is revenue less cost of sales. It shows how much is left from each $1 of sales after paying for the goods sold. Operating profit margin uses profit from operations, which is profit before finance costs and tax. It also takes in distribution costs and administrative expenses, so it shows how well overall running costs are controlled.

Returns compare profit with capital. Return on capital employed (ROCE) shows the profit earned on all long-term funding, both equity and long-term debt. Return on equity (ROE) shows the profit earned for the owners alone, using profit after tax and total equity.

The difference between the two margins is the key idea. If gross margin is steady but operating margin falls, the problem lies in expenses below gross profit. If gross margin falls, look at selling prices, purchase costs, product mix or inventory errors.

Exam questions rarely stop at calculating. You are usually asked what a change means, or which statement explains it. Always ask: did revenue change, did costs change, or did capital change?

Key formulas to remember

Gross profit margin
Gross profit ÷ Revenue × 100
Gross profit = Revenue − Cost of sales.
Operating profit margin
Profit from operations ÷ Revenue × 100
Use profit before finance costs and tax. Check the question's definition if it gives one.
Net profit margin
Profit for the year ÷ Revenue × 100
Only use if the question asks for it. Check whether it wants profit before or after tax.
Return on capital employed (ROCE)
Profit before interest and tax ÷ (Total equity + Non-current liabilities) × 100
Capital employed equals total assets less current liabilities. Use the closing figure unless told to average.
Return on equity (ROE)
Profit after tax ÷ Total equity × 100
Equity includes share capital and all reserves. Preference shares are often treated as debt, so follow the question.
ROCE split into two parts
ROCE = Operating profit margin × Asset turnover, where Asset turnover = Revenue ÷ Capital employed
Shows whether a ROCE change comes from margin or from how hard assets are worked.

How to solve Profitability Ratios questions

Use the same routine for any profitability question, whether it asks for a calculation or an explanation.

  1. 1Read the question and note which ratio is wanted and whether profit is before or after tax and interest.
  2. 2Pick out the right profit figure from the statement of profit or loss, such as gross profit, profit from operations or profit for the year.
  3. 3Pick out the right base: revenue for margins, capital employed for ROCE, total equity for ROE.
  4. 4Calculate for both years and round as the question instructs, usually to one decimal place.
  5. 5Compare the two years or the benchmark and state the direction and size of the change.
  6. 6Find the cause: look at revenue growth, cost of sales, operating expenses, asset purchases, new borrowing or share issues.
  7. 7For multiple choice, test each option against the figures and remove those that contradict the numbers.

Quickest way: Margin first, then capital

When to use it: Use in the objective test when you have about two minutes per two-mark question.

  1. Write the formula you need at the top of your scratch paper.
  2. Calculate the gross margin and operating margin before anything else.
  3. If a margin fell, subtract to see which cost line moved: gross margin gap points to cost of sales, operating margin gap with steady gross margin points to expenses.
  4. For ROCE, add equity and non-current liabilities once and reuse it.
  5. Check your answer for sense: margins should be between 0% and 100% for most businesses, and ROCE is normally higher than the interest rate on debt for a healthy firm.

Common mistakes in Profitability Ratios

  • Using revenue instead of capital employed as the base for ROCE.

    Margins all use revenue, so students carry the habit over.

    Fix: Remember that returns use capital as the base. ROCE divides by equity plus non-current liabilities.

  • Using profit after interest and tax in ROCE.

    Students take the final profit figure without thinking about what the ratio measures.

    Fix: ROCE rewards the return on all long-term funds, so use profit before interest and tax.

  • Including current liabilities in capital employed.

    Students add up all the liabilities on the statement of financial position.

    Fix: Capital employed is total assets less current liabilities, or equity plus non-current liabilities.

  • Confusing gross and operating margin when explaining a fall.

    Both are percentages of revenue and the names sound alike.

    Fix: If gross margin is unchanged, the cause cannot be selling price or cost of sales. Look at operating expenses.

  • Saying a ratio is simply good or bad.

    Students forget that ratios need a comparison.

    Fix: Always compare with the prior year, a competitor or an industry figure, and give the likely reason.

  • Treating a lower ROCE as proof of poor management.

    Assets may have just been bought or revalued, and the profit has not yet followed.

    Fix: Say it may be timing or revaluation, and check if capital employed rose faster than profit.

Worked examples

Example 1

A company reports the following for the year ended 31 December. Year 1: revenue $800,000, cost of sales $480,000, profit from operations $120,000. Year 2: revenue $900,000, cost of sales $585,000, profit from operations $108,000. Calculate the gross profit margin and operating profit margin for each year and explain the change.

Show the solution
  1. Year 1 gross profit = 800,000 − 480,000 = 320,000. Gross margin = 320,000 ÷ 800,000 = 40.0%.
  2. Year 2 gross profit = 900,000 − 585,000 = 315,000. Gross margin = 315,000 ÷ 900,000 = 35.0%.
  3. Year 1 operating margin = 120,000 ÷ 800,000 = 15.0%.
  4. Year 2 operating margin = 108,000 ÷ 900,000 = 12.0%.
  5. Gross margin fell by 5 percentage points and operating margin fell by 3 points.
  6. Operating expenses = gross profit − operating profit. Year 1: 320,000 − 120,000 = 200,000, which is 25.0% of revenue. Year 2: 315,000 − 108,000 = 207,000, which is 23.0% of revenue.
  7. So expenses improved as a share of revenue, but this did not offset the fall in gross margin.

Answer: Gross margin fell from 40.0% to 35.0% and operating margin from 15.0% to 12.0%. Revenue grew, but cost of sales grew faster, possibly through price cuts or higher purchase costs. Expenses were better controlled relative to revenue, which softened the fall.

Example 2

At the year end a company has total equity of $600,000, non-current liabilities of $200,000 and profit before interest and tax of $120,000. Finance costs are $16,000 and tax is $24,000. Calculate ROCE and ROE.

Show the solution
  1. Capital employed = 600,000 + 200,000 = 800,000.
  2. ROCE = 120,000 ÷ 800,000 × 100 = 15.0%.
  3. Profit after tax = 120,000 − 16,000 − 24,000 = 80,000.
  4. ROE = 80,000 ÷ 600,000 × 100 = 13.3% (to one decimal place).
  5. ROCE is higher than ROE because interest and tax are deducted for ROE, while ROCE uses profit before them.

Answer: ROCE is 15.0% and ROE is 13.3%.

Exam tips

  • Read whether the question wants profit before tax, before interest and tax, or after tax. This decides the answer in many objective questions.
  • In multiple response questions, calculate the ratios for both years first, then judge each statement as true or false against your figures.
  • When a question gives a ratio definition, use it exactly even if it differs from the one you learned.
  • For explanation questions, name the ratio, give the direction and size of the change, then give one or two likely causes. Avoid vague statements.
  • Do number entry questions to the decimal places asked, and only round at the final step.

Practice questions from Analysis of financial statements

Profitability Ratios in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Profitability Ratios: frequently asked questions

How do I calculate ROCE in ACCA FA?

Divide profit before interest and tax by capital employed, then multiply by 100. Capital employed is total equity plus non-current liabilities. This equals total assets less current liabilities.

What is the difference between gross profit margin and operating profit margin?

Gross profit margin only deducts cost of sales from revenue. Operating profit margin also deducts distribution costs and administrative expenses. Comparing the two shows whether a problem is in direct costs or in running costs.

Why might net profit margin fall?

Revenue may have fallen or cost of sales may have risen, which lowers gross margin. Operating expenses, such as wages, rent or depreciation, may also have risen faster than revenue. Higher finance costs or tax can lower net margin further.

How do I interpret ROCE?

ROCE shows the profit earned for every $100 of long-term funding. Compare it with the prior year, competitors and the cost of borrowing. A fall can come from a lower margin or from capital growing faster than revenue.