Break-even point calculator

How much has to sell before the business stops losing money.

What the break-even point is

Each unit sold brings its price and costs its variable cost — the stock, the packaging, the commission. What is left, the contribution margin, goes to pay the fixed costs: rent, salaries, subscriptions, which are the same whether ten units sell or ten thousand. The break-even point is the number of units whose margins add up to the fixed costs. Below it the business loses money; every unit above it is profit.

A worked example

A shop with SAR 30,000 of fixed costs a month sells an item for 50 that costs it 30.

Margin per unit: 50 − 3020.00 (40%)
Break-even: 30,000 ÷ 201,500 units
Sales at break-even: 1,500 × 5075,000.00
For a 10,000 profit: (30,000 + 10,000) ÷ 202,000 units

Using it well

Put prices and costs in without VAT: the VAT a business collects is owed to the tax authority, not earned. A business selling many products can use its average price and average variable cost, or its margin percentage: fixed costs ÷ margin % gives the sales it needs. Most worth checking is what moves the point: a 10% higher price here cuts break-even from 1,500 units to 1,200.

Questions

How is the break-even point calculated?

Fixed costs ÷ (selling price − variable cost per unit). SAR 30,000 of fixed costs and a 20 margin per unit break even at 1,500 units.

What is the difference between fixed and variable costs?

Variable costs rise with each unit sold — stock, packaging, delivery, commission. Fixed costs stay the same in the period whatever sells — rent, salaries, licences.

How do I find break-even sales rather than units?

Divide fixed costs by the margin percentage. 30,000 ÷ 40% is 75,000 of sales.

Should VAT be included?

No. Use prices and costs before VAT; output VAT is collected for the authority and input VAT is usually recovered.

What if the price is below the variable cost?

Then each sale loses money and there is no break-even point: selling more makes the loss larger. The calculator says so rather than giving a number.

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