Break-Even Calculator: Contribution, Break-Even Point and Margin of Safety
Break-even analysis answers the question a promoter and a banker both ask first: how much does this business have to sell before it stops losing money. The answer comes from splitting costs into the variable part, which moves with every unit sold, and the fixed part, which does not. Each unit sold contributes its selling price less its variable cost towards the fixed costs, and the break-even point is the volume at which those contributions have covered the fixed costs exactly.
The definitions are the ones in the ICAI Cost and Management Accounting study material on marginal costing. Contribution per unit is selling price less variable cost per unit. The contribution margin, or profit-volume ratio, is contribution as a percentage of selling price. Break-even units are fixed costs divided by contribution per unit, and break-even revenue is fixed costs divided by the contribution margin. Adding a target profit to the fixed costs gives the volume needed to earn it, and the margin of safety is how far expected sales sit above break-even.
Bank project reports carry a break-even chart because it shows how much room the projections have. A margin of safety of 30 or 40 percent means sales can fall by that much before the business loses money; a margin of 5 percent means the projections are one bad quarter from a loss. There is no prescribed minimum, and any comfort level a bank applies is its own convention, but a thin margin will be questioned at the sanction stage whatever the NPV says.
Break-Even Calculator
Break-even point
6,000 units
revenue of ₹30,00,000 at ₹500 a unit
- Contribution per unit₹500 less ₹300
- ₹200
- Contribution margin (P/V ratio)contribution as a share of the selling price
- 40%
- Break-even units₹12,00,000 ÷ ₹200
- 6,000 units
- Break-even revenue6,000 units at ₹500, or fixed costs ÷ 40%
- ₹30,00,000
- Units for the target profit(₹12,00,000 + ₹6,00,000) ÷ ₹200, revenue of ₹45,00,000
- 9,000 units
- Margin of safety at expected volume4,000 units or ₹20,00,000 above break-even
- 40%
- Profit at expected volume10,000 units × ₹200 less fixed costs of ₹12,00,000, on revenue of ₹50,00,000
- ₹8,00,000
- Degree of operating leveragecontribution ₹20,00,000 over profit ₹8,00,000
- 2.50
- The analysis assumes one product, a constant price and variable cost per unit, and fixed costs that hold across the range. For several products use a weighted average contribution based on the sales mix.
- There is no prescribed margin of safety. Any comfort level a bank applies is its own convention, and a credit officer will usually recompute the margin on a lower sales figure.
The formula
Contribution per unit = Selling price - Variable cost; Contribution margin = Contribution ÷ Selling price; Break-even units = Fixed costs ÷ Contribution per unit; Break-even revenue = Fixed costs ÷ Contribution margin; Units for target profit = (Fixed costs + Target profit) ÷ Contribution per unit; Margin of safety = (Expected sales - Break-even sales) ÷ Expected sales
- Variable cost per unit
- Materials, direct labour paid per unit and any other cost that is incurred only when a unit is made or sold.
- Fixed costs
- Rent, salaries, depreciation, interest and every other cost for the period that does not change with volume.
- Contribution margin
- The share of each rupee of sales left after variable costs, also called the profit-volume or P/V ratio.
- Margin of safety
- The gap between expected sales and break-even sales, expressed as a percentage of expected sales.
- Degree of operating leverage
- Contribution divided by profit at the expected volume, being the percentage change in profit for each one percent change in sales.
The analysis assumes a single product, a constant selling price and variable cost per unit, and fixed costs that hold across the range of volumes considered. For several products, use a weighted average contribution per unit based on the sales mix, and remember that fixed costs usually step up beyond a certain volume.
How to calculate it
- 1
Separate the costs into fixed and variable
Go through the cost sheet line by line. Materials, packing, freight out and piece-rate labour are variable. Rent, salaries, depreciation, insurance and interest are fixed for the period. Power and maintenance are usually semi-variable, so split them into a standing charge and a per-unit element rather than putting the whole amount on one side.
- 2
Compute the contribution per unit and the margin
Subtract the variable cost per unit from the selling price per unit. That is the contribution each unit makes towards fixed costs and profit. Divide it by the selling price to get the contribution margin as a percentage. If the contribution is nil or negative, every additional unit sold loses money and no volume will break even, so the price or the variable cost has to change first.
- 3
Find the break-even point in units and in revenue
Divide the fixed costs by the contribution per unit to get break-even units, and multiply by the selling price, or divide fixed costs by the contribution margin, to get break-even revenue. The two are the same point expressed differently, and a report should show both because the banker thinks in revenue and the plant manager thinks in units.
- 4
Add the target profit
Treat the profit the promoter wants as if it were another fixed cost. Fixed costs plus target profit, divided by the contribution per unit, gives the volume that earns it. This is the figure to test the sales projections against, because a projection below it means the plan does not deliver the return the promoter is counting on even if it clears break-even.
- 5
Measure the margin of safety at the expected volume
Subtract break-even sales from the expected sales and divide by the expected sales. The result is the percentage by which sales can fall before the business makes a loss. Pair it with the degree of operating leverage, which shows how sharply profit moves with each percent of sales, so the reader can see both how far the cushion is and how fast it erodes.
How each figure responds to a change in the inputs
| Change | Contribution per unit | Break-even point | Margin of safety |
|---|---|---|---|
| Selling price rises | Rises | Falls | Widens |
| Variable cost per unit rises | Falls | Rises | Narrows |
| Fixed costs rise | Unchanged | Rises | Narrows |
| Expected volume rises | Unchanged | Unchanged | Widens |
| Price falls below variable cost | Negative | Does not exist | Not meaningful |
Worked example
- Selling price per unit
- ₹500
- Variable cost per unit
- ₹300
- Fixed costs for the year
- ₹12,00,000
- Target profit
- ₹6,00,000
- Expected sales volume
- 10,000 units
- Contribution per unit = ₹500 - ₹300 = ₹200, and the contribution margin = ₹200 ÷ ₹500 = 40%
- Break-even units = ₹12,00,000 ÷ ₹200 = 6,000 units
- Break-even revenue = 6,000 × ₹500 = ₹30,00,000, or ₹12,00,000 ÷ 40%
- Units for a target profit of ₹6,00,000 = (₹12,00,000 + ₹6,00,000) ÷ ₹200 = 9,000 units
- Margin of safety at 10,000 units = (10,000 - 6,000) ÷ 10,000 = 40%, or ₹20,00,000 of revenue
- Profit at 10,000 units = 10,000 × ₹200 - ₹12,00,000 = ₹8,00,000, and operating leverage = ₹20,00,000 ÷ ₹8,00,000 = 2.50
Break-even at 6,000 units or ₹30,00,000 of revenue, 9,000 units for the target profit, and a margin of safety of 40% at 10,000 units
Frequently asked questions
Sources
Rates and rules on this page come from the following. This is a working aid, not professional advice: confirm anything material with your Chartered Accountant before you act on it.
Stop re-keying these figures
Aalekh runs this calculation on your actual client data, pulls the underlying ledgers straight from Tally, and carries the result through to the financial statements and the return.
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