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Performance Management · Cost-volume-profit analysis (CVP)

Margin of Safety and Target Profit in CVP Analysis

Updated 11 October 2026 · Fact-checked

Margin of safety is how far sales can fall before you reach break-even: budgeted sales minus break-even sales. Target profit sales are found by adding the target profit to fixed costs and dividing by contribution per unit (or the C/S ratio). For after-tax targets, first convert to pre-tax profit.

Understand Margin of Safety and Target Profit

Break-even tells you the sales level where profit is zero. Two questions follow. How safe is your budget? And how much must you sell to earn the profit you want? Margin of safety and target profit answer these.

The margin of safety is the gap between budgeted (or actual) sales and break-even sales. It can be in units, in revenue, or as a percentage of budgeted sales. A bigger margin means sales can fall further before you make a loss. It is a measure of risk.

The target profit idea is the same as break-even, with one change. At break-even, contribution must cover fixed costs. For a target profit, contribution must cover fixed costs and the profit you want. So you simply add the target profit to fixed costs, then divide by contribution per unit.

If the target is stated after tax, the company must earn more before tax. Tax is charged on profit before tax, so you convert first: pre-tax profit = after-tax profit ÷ (1 − tax rate). Then treat that as the target profit. This assumes tax is a simple percentage of profit and there are no other adjustments, which is what exam questions normally state.

The difference to remember: break-even is a point, the margin of safety is a distance from that point, and target profit is a different point above break-even.

Key rules to remember

Contribution per unit
Selling price per unit − variable cost per unit
Use all variable costs, including variable selling costs.
C/S ratio (contribution to sales ratio)
Contribution ÷ Sales revenue
Also called the PV ratio. Can use unit figures or totals.
Break-even point
Fixed costs ÷ contribution per unit (units); Fixed costs ÷ C/S ratio (revenue)
Round units up to a whole unit if the question needs whole units.
Margin of safety
Budgeted sales − break-even sales
Works in units or revenue. Keep the same measure for both figures.
Margin of safety percentage
(Budgeted sales − break-even sales) ÷ budgeted sales × 100%
The denominator is budgeted sales, not break-even sales.
Sales for target profit
(Fixed costs + target profit) ÷ contribution per unit (units); (Fixed costs + target profit) ÷ C/S ratio (revenue)
Target profit must be before tax.
Pre-tax profit from after-tax target
After-tax profit ÷ (1 − tax rate)
Assumes tax is a flat rate on profit.

How to solve Margin of Safety and Target Profit questions

Use this order for any margin of safety or target profit question.

  1. 1Read what is asked: units or revenue, amount or percentage, before or after tax.
  2. 2Calculate contribution per unit (or the C/S ratio) from the selling price and variable costs.
  3. 3Identify total fixed costs. Include only costs that stay fixed at the activity levels in the question.
  4. 4If the target profit is after tax, convert it: divide by (1 − tax rate).
  5. 5For target profit, add target profit to fixed costs and divide by contribution per unit or C/S ratio.
  6. 6For margin of safety, find break-even first, then subtract it from budgeted sales.
  7. 7If a percentage is asked, divide the margin of safety by budgeted sales.
  8. 8Check your answer: at your sales level, contribution minus fixed costs should equal the target profit.

Quickest way: Contribution shortcut

When to use it: Use in Section A and OT case questions, where only the final answer is marked and time is tight.

  1. Write contribution per unit on your scratch paper first.
  2. Margin of safety in units = profit ÷ contribution per unit, when profit at budget is known. Each unit above break-even earns exactly one unit of contribution as profit.
  3. Margin of safety percentage = profit ÷ total contribution at budget.
  4. Target profit units = break-even units + (target profit ÷ contribution per unit).
  5. For after-tax targets, divide by (1 − tax rate) before using any of the above.

Common mistakes in Margin of Safety and Target Profit

  • Dividing the margin of safety by break-even sales to get the percentage.

    Students link the margin of safety with break-even, so they use it as the base.

    Fix: Always divide by budgeted (or actual) sales. The percentage shows how far sales can fall from the budget.

  • Using after-tax profit directly as the target profit.

    The question gives one profit figure and students plug it in.

    Fix: Check for the word 'after tax'. If present, divide by (1 − tax rate) first.

  • Multiplying by the tax rate instead of dividing by (1 − tax rate).

    It feels like a gross-up is the same as adding tax at that rate.

    Fix: Tax is a share of pre-tax profit. If tax is 25%, after-tax profit is 75% of pre-tax, so divide by 0.75.

  • Mixing units and revenue, for example subtracting break-even units from budgeted revenue.

    Break-even is calculated in one measure and budget is given in the other.

    Fix: Convert to the same measure before subtracting. Label every figure with its unit.

  • Leaving out variable selling or distribution costs from contribution.

    Students take only production costs as variable.

    Fix: List every cost and mark each as variable or fixed. Contribution deducts all variable costs.

  • Including the target profit in fixed costs and then also subtracting it at the end.

    Double counting from rushing the formula.

    Fix: Use one formula: (fixed costs + target profit) ÷ contribution. Then verify by recomputing profit.

Worked examples

Example 1

A company sells one product at ₹250 per unit. Variable cost is ₹150 per unit. Fixed costs are ₹5,00,000. Budgeted sales are 7,000 units. Calculate the break-even point in units, the margin of safety in units, and the margin of safety as a percentage of budget.

Show the solution
  1. Contribution per unit = 250 − 150 = ₹100.
  2. Break-even units = 5,00,000 ÷ 100 = 5,000 units.
  3. Margin of safety = 7,000 − 5,000 = 2,000 units.
  4. Percentage = 2,000 ÷ 7,000 × 100% = 28.57%.
  5. Check: profit at budget = 7,000 × 100 − 5,00,000 = ₹2,00,000. Profit ÷ contribution per unit = 2,00,000 ÷ 100 = 2,000 units. This agrees.

Answer: Break-even is 5,000 units. Margin of safety is 2,000 units, which is 28.57% (about 28.6%) of budgeted sales.

Example 2

A product sells for ₹80 and has variable costs of ₹50 per unit. Fixed costs are ₹6,00,000 a year. The tax rate is 25%. The company wants a profit after tax of ₹4,50,000. Calculate the units and the sales revenue required.

Show the solution
  1. Contribution per unit = 80 − 50 = ₹30.
  2. C/S ratio = 30 ÷ 80 = 37.5%.
  3. Pre-tax profit needed = 4,50,000 ÷ (1 − 0.25) = 4,50,000 ÷ 0.75 = ₹6,00,000.
  4. Required contribution = fixed costs + target profit = 6,00,000 + 6,00,000 = ₹12,00,000.
  5. Units = 12,00,000 ÷ 30 = 40,000 units.
  6. Revenue = 40,000 × 80 = ₹32,00,000. Check using the C/S ratio: 12,00,000 ÷ 0.375 = ₹32,00,000.
  7. Check profit: 40,000 × 30 = 12,00,000 contribution, less 6,00,000 fixed = 6,00,000 pre-tax. Tax at 25% = 1,50,000. After tax = ₹4,50,000.

Answer: The company needs 40,000 units, which is sales revenue of ₹32,00,000.

Exam tips

  • In Section A and OT cases, read for 'after tax', 'units' versus 'revenue', and 'percentage'. Many wrong answers come from missing one of these words.
  • Choose the right base for the percentage: the margin of safety is a percentage of budgeted sales.
  • In Section C, show each step: contribution, fixed costs plus target, then the answer. Method marks are available even if arithmetic slips.
  • Always check by recomputing profit at your answer. It takes 20 seconds and catches double counting.
  • If the question gives multiple products, expect a weighted average contribution. Use the same target profit formula with that figure.

Practice questions from Cost-volume-profit analysis (CVP)

Margin of Safety and Target Profit: frequently asked questions

What is the margin of safety formula in ACCA PM?

Margin of safety = budgeted sales − break-even sales. You can show it in units, in revenue or as a percentage of budgeted sales. The percentage divides the margin by budgeted sales.

How do I calculate the sales needed for a target profit?

Add the target profit to fixed costs. Then divide by contribution per unit to get units, or by the C/S ratio to get revenue. If the target is after tax, convert it to a pre-tax figure first.

What is the difference between break-even point and margin of safety?

Break-even point is the sales level where profit is zero. The margin of safety is the amount by which budgeted sales exceed that level. One is a sales level and the other is a gap, so a larger gap means lower risk.

How do I deal with target profit after tax?

Divide the after-tax target by (1 − tax rate) to get the pre-tax profit needed. Then use that in the target profit formula. This assumes tax is a flat percentage of profit, as questions normally state.