Costing

Break-even calculator

How much has to be sold before anything is earned, and how far above that point the business is.

Free, with no sign-up Worked out in your browser The working shown, line by line

Your figures

For the margin of safety. Optional.
To see the units that would earn it. Optional.

The answer

Break-even 2,500 units
Break-even sales ₹12,50,000.00
Contribution to sales 40%
Contribution
Selling price a unit 500.00
Less variable cost a unit -300.00
Contribution a unit 200.00
Contribution to sales 40%
Break-even
Fixed costs 5,00,000.00
Units Fixed costs ÷ contribution a unit 2,500
In sales value 12,50,000.00
Margin of safety
Units sold 4,000
Above break-even by 37.5% 1,500
Profit at that volume 3,00,000.00
  • Fixed costs are fixed only within a range. Doubling the volume usually moves them.

Not statutory. Marginal costing, as management accounting teaches it.

How it is worked out

Each unit sold earns its contribution: the selling price less the variable cost of making it. The fixed costs are met out of contributions, so the break-even point is the fixed costs divided by the contribution a unit.

In sales value, the break-even point is the fixed costs divided by the contribution to sales ratio - the share of every rupee of sales left after variable costs.

The margin of safety is how far actual sales are above break-even: how much they could fall before the business makes a loss.

Worked example: Fixed costs of ₹5 lakh, a price of ₹500 and a variable cost of ₹300

Each unit contributes ₹200, so break-even is 2,500 units or ₹12.5 lakh of sales. At 4,000 units the business is 1,500 units, or 37.5%, above it.

Questions

What is the break-even formula?

Break-even units = fixed costs ÷ (selling price − variable cost a unit). Break-even sales = fixed costs ÷ contribution to sales ratio.

What is the contribution margin?

The selling price less the variable cost of a unit. It is what each sale contributes towards the fixed costs first, and to profit once they are covered.

What is the margin of safety?

Actual sales less break-even sales, often shown as a percentage of actual sales. The larger it is, the further sales can fall before there is a loss.

From KiyoTool

The same answer, on every client, with the working paper written for you

KiyoTool has the rest of the costing set - contribution, cost-volume-profit, target cost, variances and a cost sheet per product - and a tool that turns a list of costs into a cost sheet with the margin on each product. It runs on Windows, offline, and your clients' books never leave the machine.

More free calculators