Money Maths Made Simple
Break-Even Analysis
How to calculate how many sales a business needs to cover its costs, using fixed costs, variable costs and contribution margin.
Before starting a business or launching a product, it helps to know: how much do I need to sell to avoid losing money? This is the break-even point.
Key ideas
- Fixed costs don’t change with sales in the short run: rent, salaries, loan repayments, insurance.
- Variable costs rise with each unit sold: ingredients, packaging, delivery.
- Contribution margin is the price minus the variable cost per unit. It’s the amount each sale “contributes” towards fixed costs and profit.
The formula
Break-even quantity = Fixed costs / Contribution margin per unit
An example
A small juice shop has:
- Monthly fixed costs of 60,000 rupees (rent, wages, electricity).
- A selling price of 100 rupees per glass.
- Variable cost of 40 rupees per glass (fruit, cup, straw).
Contribution margin = 100 - 40 = 60 rupees.
Break-even = 60,000 / 60 = 1,000 glasses a month, about 33 a day.
Every glass beyond 1,000 adds 60 rupees of profit. Below 1,000, the shop makes a loss.
Using it for decisions
- Pricing: raising the price to 110 rupees lifts the margin to 70 and cuts break-even to about 857 glasses, if customers don’t buy less.
- Costs: cheaper rent lowers the break-even point.
- Targets: to earn 30,000 rupees profit, the shop needs (60,000 + 30,000) / 60 = 1,500 glasses.
- Risk: businesses with high fixed costs need higher sales but earn more once past break-even.
Break-even time
For investments, people also ask how long it takes to recover the initial cost, called the payback period. For example, a 1 lakh rupee rooftop solar system saving 2,000 rupees a month pays back in about 50 months.
Limits
Break-even analysis assumes a fixed price and constant costs per unit. In reality, discounts, bulk buying and changing demand complicate things. It is a starting point, not a full plan.
A student plans a weekend food cart. Fixed costs are 8,000 rupees a month, and each plate earns 40 rupees above ingredient costs. She needs 200 plates a month to break even, about 25 plates each weekend day. Knowing this, she checks whether the location gets enough customers.
If the contribution margin is small or fixed costs are high, a business can sell a lot and still lose money.
- Break-even quantity equals fixed costs divided by contribution margin per unit.
- A shop with 60,000 fixed costs and a 60 rupee margin must sell 1,000 units.
- Pricing, costs and profit targets can be tested with the formula.
- The payback period applies the same idea to investments.
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