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CIE A-Level Accounting Notes

1.6.3 Profitability Ratios

CIE Syllabus focus:

'Candidates should calculate profitability ratios, including gross profit margin, mark-up, profit margin, return on capital employed and expenses to revenue ratio.'

Profitability ratios show how effectively a business turns sales, costs, and invested funds into profit. For CIE A-Level Accounting, success depends on choosing the correct figures and expressing each answer clearly as a percentage.

Understanding profitability ratios

Profitability ratios measure the earning performance of a business. They link profit to another accounting figure, such as revenue, cost of sales, expenses, or capital employed. Because they focus on relationships rather than absolute amounts, they make accounting data more meaningful.

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A cost–volume–profit style diagram plotting sales (revenue) and total costs against output/volume, with profit and loss regions clearly indicated. It builds intuition for why profitability metrics depend on relationships (e.g., how changes in revenue or costs change profit), even before converting those relationships into ratios. Source

In examination questions, the figures used usually come from the statement of profit or loss and the statement of financial position. Before calculating any ratio, identify the correct profit figure. Gross profit is not the same as profit from operations, and using the wrong one gives an incorrect ratio even if the arithmetic is accurate.

When source figures are listed separately, use the final adjusted totals needed for the ratio. For example, revenue should reflect any returns already deducted, and expense figures should match the period being measured. Profitability ratios are only as reliable as the accounting figures used.

Most profitability ratios are expressed as a percentage, so the final figure is normally multiplied by 100. A ratio of 25% shows that the business earns 25 cents of profit for every 1 of the relevant base figure.</p><h2 class="editor-heading" id="gross-profit-measures"><strong>Gross profit measures</strong></h2><h3 class="editor-heading"><strong>Gross profit margin</strong></h3><p><strong>Gross profit margin</strong> measures gross profit as a percentage of revenue.</p><img src="https://tutorchase-production.s3.eu-west-2.amazonaws.com/db7d24a9-4929-4f42-a43e-df5cdfd159c8-file.png" alt="Pasted image" style="width: 820px; height: 172px; cursor: pointer;" width="820" height="172" draggable="true"><p><em>An equation-style visual showing gross profit margin as a percentage of revenue, with cost of goods sold (COGS) subtracted to obtain gross profit. This helps students see the structure “profit figure ÷ base figure × 100” and why the denominator must be revenue for gross profit margin. </em><a rel="noopener noreferrer nofollow" href="https://www.xero.com/us/guides/what-is-gross-profit-margin/"><span style="color: #001A96"><em>Source</em></span></a></p><p>It shows how much of sales income remains after deducting the <strong>cost of sales</strong>.</p><div class="example-section"><p>Gross\ Profit\ Margin=\dfrac{Gross\ Profit}{Revenue}\times 100</p><p></p><p>Gross\ Profit=Revenueminuscostofsales,monetaryamount</p><p> = Revenue minus cost of sales, monetary amount</p><p>Revenue=Salesincomefortheperiod,monetaryamount</p></div><p>Thisratioiscloselylinkedtopricingandthedirectcostofgoodssold.Tocalculateitcorrectly,use<strong>netrevenue</strong>ifsalesreturnshavealreadybeendeducted.Donotusetotalexpensesorprofitfortheyearinthisformula.</p><h3class="editorheading"><strong>Markup</strong></h3><p>Studentsoftenconfuse<strong>markup</strong>withgrossprofitmargin.</p><divclass="takeawayssection"><p><strong>Markup:</strong>Grossprofitexpressedasapercentageofcostofsales.</p></div><p>Becausethebaseiscostofsalesratherthanrevenue,markupisusuallyhigherthangrossprofitmarginwhenbotharecalculatedfromthesamefigures.</p><divclass="examplesection"><p> = Sales income for the period, monetary amount</p></div><p>This ratio is closely linked to pricing and the direct cost of goods sold. To calculate it correctly, use <strong>net revenue</strong> if sales returns have already been deducted. Do not use total expenses or profit for the year in this formula.</p><h3 class="editor-heading"><strong>Mark-up</strong></h3><p>Students often confuse <strong>mark-up</strong> with gross profit margin.</p><div class="takeaways-section"><p><strong>Mark-up:</strong> Gross profit expressed as a percentage of cost of sales.</p></div><p>Because the base is cost of sales rather than revenue, mark-up is usually higher than gross profit margin when both are calculated from the same figures.</p><div class="example-section"><p>Markup=\dfrac{Gross\ Profit}{Cost\ of\ Sales}\times 100</p><p></p><p>Gross\ Profit=Revenueminuscostofsales,monetaryamount</p><p> = Revenue minus cost of sales, monetary amount</p><p>Cost\ of\ Sales=Directcostofgoodssoldduringtheperiod,monetaryamount</p></div><p>Acommonerroristodividegrossprofitbyrevenueandlabeltheanswerasmarkup.Thenameoftheratiomustmatchthedenominatorusedintheformula.</p><h2class="editorheading"id="operatingprofitmeasures"><strong>Operatingprofitmeasures</strong></h2><h3class="editorheading"><strong>Profitmargin</strong></h3><p><strong>Profitmargin</strong>measuresoperatingprofitasapercentageofrevenue.InmanyCIEquestions,theprofitfigureusedis<strong>profitfromoperations</strong>.</p><divclass="examplesection"><p> = Direct cost of goods sold during the period, monetary amount</p></div><p>A common error is to divide gross profit by revenue and label the answer as mark-up. The name of the ratio must match the denominator used in the formula.</p><h2 class="editor-heading" id="operating-profit-measures"><strong>Operating profit measures</strong></h2><h3 class="editor-heading"><strong>Profit margin</strong></h3><p><strong>Profit margin</strong> measures operating profit as a percentage of revenue. In many CIE questions, the profit figure used is <strong>profit from operations</strong>.</p><div class="example-section"><p>Profit\ Margin=\dfrac{Profit\ from\ Operations}{Revenue}\times 100</p><p></p><p>Profit\ from\ Operations=Profitafterdeductingoperatingexpenses,monetaryamount</p><p> = Profit after deducting operating expenses, monetary amount</p><p>Revenue=Salesincomefortheperiod,monetaryamount</p></div><p>Thisratiogoesbeyondgrossprofitbecauseitincludestheeffectofexpensessuchasdistributionandadministrativecosts.Whenaquestionstatesaspecificprofitfigure,usethatfigureexactlyasinstructed.Donotsubstitutegrossprofitunlessthequestionclearlyrequiresit.</p><h3class="editorheading"><strong>Expensestorevenueratio</strong></h3><p>Thisratiocomparesanexpensewithrevenue.Itshowshowlargeanexpenseisrelativetosalesearned.</p><divclass="examplesection"><p> = Sales income for the period, monetary amount</p></div><p>This ratio goes beyond gross profit because it includes the effect of expenses such as distribution and administrative costs. When a question states a specific profit figure, use that figure exactly as instructed. Do not substitute gross profit unless the question clearly requires it.</p><h3 class="editor-heading"><strong>Expenses to revenue ratio</strong></h3><p>This ratio compares an expense with revenue. It shows how large an expense is relative to sales earned.</p><div class="example-section"><p>Expenses\ to\ Revenue\ Ratio=\dfrac{Expenses}{Revenue}\times 100</p><p></p><p>Expenses=Theexpensebeingmeasuredfortheperiod,monetaryamount</p><p> = The expense being measured for the period, monetary amount</p><p>Revenue=Salesincomefortheperiod,monetaryamount</p></div><p>Questionsmayaskforasingleexpense,suchas<strong>administrativeexpensestorevenue</strong>,orforawidergroupofexpenses.Alwaysreadthewordingcarefullyanduseonlytheexpenseamountspecified.</p><h2class="editorheading"id="capitalbasedmeasure"><strong>Capitalbasedmeasure</strong></h2><h3class="editorheading"><strong>Returnoncapitalemployed</strong></h3><p><strong>Returnoncapitalemployed</strong>,usuallyabbreviatedto<strong>ROCE</strong>,measuresoperatingprofitasapercentageofthelongtermfundsinvestedinthebusiness.</p><imgsrc="https://tutorchaseproduction.s3.euwest2.amazonaws.com/5fd0d84f702e4a299ca5a5ad8cb0047dfile.png"alt="Pastedimage"style="width:820px;height:312px;cursor:pointer;"width="820"height="312"draggable="true"><p><em>AlabeledROCEformuladiagramshowingreturnasoperatingprofit(oftenexpressedasEBIT)dividedbycapitalemployed,expressedasapercentage.ItvisuallyreinforcesthatROCEisacapitalbasedprofitabilityratio: = Sales income for the period, monetary amount</p></div><p>Questions may ask for a single expense, such as <strong>administrative expenses to revenue</strong>, or for a wider group of expenses. Always read the wording carefully and use only the expense amount specified.</p><h2 class="editor-heading" id="capital-based-measure"><strong>Capital-based measure</strong></h2><h3 class="editor-heading"><strong>Return on capital employed</strong></h3><p><strong>Return on capital employed</strong>, usually abbreviated to <strong>ROCE</strong>, measures operating profit as a percentage of the long-term funds invested in the business.</p><img src="https://tutorchase-production.s3.eu-west-2.amazonaws.com/5fd0d84f-702e-4a29-9ca5-a5ad8cb0047d-file.png" alt="Pasted image" style="width: 820px; height: 312px; cursor: pointer;" width="820" height="312" draggable="true"><p><em>A labeled ROCE formula diagram showing return as operating profit (often expressed as EBIT) divided by capital employed, expressed as a percentage. It visually reinforces that ROCE is a capital-based profitability ratio: ROCE=\dfrac{Operating\ Profit}{Capital\ Employed}\times 100. </em><a rel="noopener noreferrer nofollow" href="https://corporatefinanceinstitute.com/resources/accounting/return-on-capital-employed-roce/"><span style="color: #001A96"><em>Source</em></span></a></p><div class="takeaways-section"><p><strong>Capital employed:</strong> The long-term finance used in a business, commonly measured as total assets less current liabilities or as equity plus non-current liabilities.</p></div><p>The exact method of finding capital employed must match the information given in the question and the approach expected by your course.</p><div class="example-section"><p>Return\ on\ Capital\ Employed=\dfrac{Profit\ from\ Operations}{Capital\ Employed}\times 100</p><p></p><p>Profit\ from\ Operations=Operatingprofitfortheperiod,monetaryamount</p><p> = Operating profit for the period, monetary amount</p><p>Capital\ Employed$ = Long-term funds invested in the business, monetary amount

ROCE is useful because it connects profit with the resources used to generate that profit. In calculation questions, check whether non-current liabilities form part of capital employed, because they are often included with equity as long-term finance.

Accuracy in examination answers

Careful presentation is important when calculating profitability ratios. Examiners often award credit for method as well as the final answer, so write the formula clearly before substituting figures when required.

Common points to remember include:

  • use figures from the same accounting period

  • make sure revenue is not confused with cash received

  • distinguish between gross profit and profit from operations

  • use cost of sales for mark-up, not revenue

  • express final answers as percentages

  • apply any instruction on rounding consistently

  • check that the ratio name matches the formula used

If a ratio answer seems unreasonable, recheck the denominator first. Many profitability ratio errors arise not from arithmetic, but from selecting the wrong accounting figure.

Practice Questions

A business has revenue of 80000andcostofsalesof80 000 and cost of sales of 50 000.

Calculate the gross profit margin. [2]

  • Gross profit = 30000(1)</p></li><li><p>30 000 (1)</p></li><li><p>Gross\ Profit\ Margin=\dfrac{30000}{80000}\times 100=37.5%$ (1)

A business has the following figures for the year ended 31 December:

Revenue 300000<br>Costofsales300 000<br>Cost of sales 180 000
Distribution expenses 24000<br>Administrativeexpenses24 000<br>Administrative expenses 36 000
Profit from operations 60000<br>Equity60 000<br>Equity 210 000
Long-term bank loan $40 000

Calculate: (a) mark-up [1] (b) profit margin [1] (c) total operating expenses to revenue ratio [2] (d) return on capital employed [2]

  • (a) Markup=120000180000×100=66.7Markup=\dfrac{120000}{180000}\times 100=66.7% (1)

  • (b) Profit Margin=60000300000×100=20Profit\ Margin=\dfrac{60000}{300000}\times 100=20% (1)

  • (c) Total operating expenses = 60000(1)</p></li><li><p>(c)60 000 (1)</p></li><li><p>(c) Expenses\ to\ Revenue\ Ratio=\dfrac{60000}{300000}\times 100=20%(1)</p></li><li><p>(d)Capitalemployed= (1)</p></li><li><p>(d) Capital employed = 250 000 (1)

  • (d) Return on Capital Employed=60000250000×100=24Return\ on\ Capital\ Employed=\dfrac{60000}{250000}\times 100=24% (1)

FAQ

Both ratios use the same gross profit figure, but they divide by different amounts.

  • Gross profit margin uses revenue as the denominator.

  • Mark-up uses cost of sales as the denominator.

Because revenue is larger than cost of sales whenever gross profit exists, dividing by cost of sales produces the larger percentage. If a student gets a lower mark-up than gross profit margin from the same figures, the denominators have probably been mixed up.

They affect the underlying figures before the ratio is calculated.

Sales returns reduce revenue, so they can change gross profit margin, profit margin, and expenses to revenue ratios.

Trade discounts are usually deducted before the transaction is recorded, so revenue and purchases are entered at the net amount. This means the discount does not appear separately in the ratio calculation.

Always use the final recorded figures, not the original invoice amounts.

Older assets may have a low carrying amount because of accumulated depreciation. That reduces capital employed in the denominator.

If profit from operations remains steady while capital employed falls, ROCE increases. This can make a business appear more efficient even when its actual trading performance has not improved much.

That is why ROCE should be read carefully when a business has:

  • heavily depreciated assets

  • outdated equipment still in use

  • a very low book value for long-term assets

Yes. ROCE can rise if capital employed falls while operating profit stays the same.

This might happen if a business:

  • repays a long-term loan

  • sells underused non-current assets

  • reduces working capital tied up in the business

A higher ROCE is not always caused by better profit generation. Sometimes it results from using a smaller long-term investment base.

The two ratios answer different questions.

Gross profit margin focuses on the share of revenue kept as gross profit. Mark-up focuses on how much profit is added to the cost of goods.

Using both helps retailers judge:

  • pricing policy

  • purchasing costs

  • product profitability

  • whether selling prices are high enough relative to cost

A business might set prices by adding a mark-up to cost, but managers may still prefer gross profit margin when reviewing sales performance.

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