Corporate Accounting and Financial Management · Operational Approach to Financial Decision

Break-Even Analysis and Cost-Volume-Profit for CS Executive

Updated 11 October 2026 · Fact-checked

Break-even analysis finds the sales level where total revenue equals total cost, so profit is zero. Compute contribution per unit (selling price − variable cost), then divide fixed costs by it. CVP analysis extends this to target profit, margin of safety and the effect of changes in price, cost or volume.

Understand Break-Even Analysis and Cost-Volume-Profit

Costs behave differently as output changes. Fixed costs stay the same in total within a relevant range of activity, for example factory rent of ₹2,00,000 a month. Variable costs change in direct proportion to output, for example raw material of ₹40 per unit. Per unit, fixed cost falls as volume rises, while variable cost per unit stays constant.

Contribution is sales minus variable cost. It is what each sale gives towards covering fixed costs and then profit. Once fixed costs are covered, every extra rupee of contribution becomes profit. This is the core idea of CVP.

The break-even point (BEP) is the level of sales, in units or rupees, where contribution exactly equals fixed cost. Profit is nil. Below it you make a loss; above it you make a profit.

The P/V ratio (profit-volume ratio) shows contribution as a percentage of sales. It stays the same at all volumes if price and variable cost per unit do not change. That is why you can use it to find BEP in rupees and profit at any sales level.

The margin of safety (MOS) is the gap between actual sales and break-even sales. It tells you how far sales can fall before you start losing money. CVP analysis assumes a linear cost and revenue pattern, constant selling price, and, for multi-product firms, a constant sales mix. Remember these assumptions when you write a conclusion.

Key rules to remember

Contribution: Contribution = Sales − Variable cost = Fixed cost + Profit; Per unit: Selling price per unit − Variable cost per unit.
P/V ratio: P/V ratio = (Contribution ÷ Sales) × 100; Also = (Change in profit ÷ Change in sales) × 100 when fixed cost is constant.
Break-even point in units: BEP (units) = Fixed cost ÷ Contribution per unit; Round up if the answer is fractional and whole units are needed.
Break-even point in rupees: BEP (₹) = Fixed cost ÷ P/V ratio; Equals BEP units × selling price per unit.
Sales for target profit: Required sales (₹) = (Fixed cost + Target profit) ÷ P/V ratio; In units: (Fixed cost + Target profit) ÷ Contribution per unit.
Margin of safety: MOS (₹) = Actual sales − BEP sales; MOS ratio = MOS ÷ Actual sales × 100; Also MOS (₹) = Profit ÷ P/V ratio.
Variable cost ratio: Variable cost ratio = 100% − P/V ratio; Useful to cross-check your P/V ratio.

How to solve Break-Even Analysis and Cost-Volume-Profit questions

Use the same sequence for any break-even or CVP question. It keeps your working clean and earns step marks.

1Read the data and classify each cost as fixed or variable. Split any semi-variable cost if the question gives enough data.
2Find contribution per unit and the P/V ratio. If only two periods are given, find P/V ratio as change in profit ÷ change in sales.
3Find fixed cost: contribution minus profit, or use the P/V ratio from step 2.
4Compute BEP in units and rupees using the formulas.
5Compute margin of safety and, if asked, sales needed for a target profit.
6For a changed situation (new price, cost or volume), recompute contribution and fixed cost first, then repeat the formulas.
7Write a one-line conclusion and state assumptions, such as constant price and mix, where the question asks you to comment.

Quickest way: P/V ratio shortcut

When to use it: Use it when sales and profit are given in rupees, or when you must solve several parts quickly.

Get the P/V ratio once: Contribution ÷ Sales.
Fixed cost = Contribution − Profit.
BEP (₹) = Fixed cost ÷ P/V ratio.
MOS (₹) = Profit ÷ P/V ratio.
Target sales (₹) = (Fixed cost + Target profit) ÷ P/V ratio.
Cross-check: BEP + MOS should equal actual sales.

Common mistakes in Break-Even Analysis and Cost-Volume-Profit

Using selling price instead of contribution per unit as the divisor for BEP units.
Students confuse revenue per unit with the amount available to cover fixed cost.
Fix: Always deduct variable cost per unit first. Write 'Contribution per unit =' as your first line.
Treating all costs as variable or leaving fixed overheads out of the fixed cost.
The question lists costs in a mixed order and students skip classification.
Fix: Make a two-column list, fixed and variable, before any calculation.
Dividing fixed cost by the P/V ratio expressed as a whole number such as 40 instead of 0.40.
The ratio is quoted as a percentage.
Fix: Convert the percentage to a decimal or fraction (40% = 2/5) before dividing.
Calculating MOS as a percentage of break-even sales.
Students remember 'MOS' but not the base.
Fix: MOS ratio = MOS ÷ Actual sales. The base is actual sales.
Forgetting that a change in fixed cost or selling price alters BEP and P/V ratio.
Students reuse old figures in revised-scenario questions.
Fix: Recompute contribution per unit and total fixed cost for the new scenario before applying the formulas.
Giving BEP in units only when the question asks for rupees, or the reverse.
Rushing and not re-reading the requirement.
Fix: Underline the unit asked for, and give both if time allows.

Worked examples

Example 1

A company sells a product at ₹50 per unit. Variable cost is ₹30 per unit. Fixed costs are ₹4,00,000. Actual sales are 30,000 units. Calculate (a) P/V ratio, (b) break-even point in units and rupees, (c) margin of safety, and (d) profit.

Show the solution

Contribution per unit = 50 − 30 = ₹20.
P/V ratio = 20 ÷ 50 × 100 = 40%.
BEP (units) = 4,00,000 ÷ 20 = 20,000 units.
BEP (₹) = 20,000 × 50 = ₹10,00,000. Check: 4,00,000 ÷ 0.40 = ₹10,00,000.
Actual sales = 30,000 × 50 = ₹15,00,000.
MOS = 15,00,000 − 10,00,000 = ₹5,00,000 (10,000 units). MOS ratio = 5,00,000 ÷ 15,00,000 × 100 = 33.33%.
Profit = Contribution − Fixed cost = 30,000 × 20 − 4,00,000 = 6,00,000 − 4,00,000 = ₹2,00,000. Check: MOS × P/V = 5,00,000 × 0.40 = ₹2,00,000.

Answer: P/V ratio 40%; BEP 20,000 units or ₹10,00,000; MOS ₹5,00,000 (33.33% of sales); profit ₹2,00,000.

Example 2

In a year, a firm had sales of ₹12,00,000 and profit of ₹1,00,000. In the next year, sales were ₹15,00,000 and profit ₹2,20,000. Fixed cost is the same in both years. Calculate (a) P/V ratio, (b) fixed cost, (c) break-even sales, and (d) margin of safety for the next year.

Show the solution

Change in sales = 15,00,000 − 12,00,000 = ₹3,00,000.
Change in profit = 2,20,000 − 1,00,000 = ₹1,20,000.
P/V ratio = 1,20,000 ÷ 3,00,000 × 100 = 40%.
Contribution in the first year = 12,00,000 × 40% = ₹4,80,000. Fixed cost = 4,80,000 − 1,00,000 = ₹3,80,000.
Check with the next year: contribution = 15,00,000 × 40% = ₹6,00,000. Fixed cost = 6,00,000 − 2,20,000 = ₹3,80,000. The two years agree.
BEP (₹) = 3,80,000 ÷ 0.40 = ₹9,50,000.
MOS for the next year = 15,00,000 − 9,50,000 = ₹5,50,000. MOS ratio = 5,50,000 ÷ 15,00,000 × 100 = 36.67%.
Check: Profit ÷ P/V ratio = 2,20,000 ÷ 0.40 = ₹5,50,000. BEP + MOS = 9,50,000 + 5,50,000 = ₹15,00,000, which equals actual sales.

Answer: P/V ratio 40%; fixed cost ₹3,80,000; break-even sales ₹9,50,000; margin of safety for the next year ₹5,50,000 (36.67% of sales).

Exam tips

Show the contribution and P/V ratio lines clearly. Examiners award marks for method even if arithmetic slips.
Read whether the question wants units or rupees, and give the unit in your answer.
For two-period data, find P/V ratio from the change in profit and sales, then derive fixed cost.
Add a short comment on assumptions or on what a high or low MOS means for the business, since written answers reward conclusions.
Cross-check using BEP + MOS = Actual sales before moving on.

Practice questions from Operational Approach to Financial Decision

Break-Even Analysis and Cost-Volume-Profit in other exams

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

Break-Even Analysis and Cost-Volume-Profit: frequently asked questions

What is the difference between contribution and profit?

Contribution is sales minus variable cost. Profit is contribution minus fixed cost. Contribution is positive even when the firm makes a loss, as long as price exceeds variable cost.

How do I find fixed cost if it is not given?

Use two periods to find the P/V ratio, then calculate contribution for either period. Fixed cost is contribution minus profit for that period.

Can the margin of safety be negative?

Yes. If actual sales are below break-even sales, the result is negative and the firm is making a loss.

Does a higher P/V ratio always mean better?

A higher P/V ratio means each rupee of sales adds more to contribution, so break-even is reached sooner. It must be read with the fixed cost level and demand conditions.