Revenue, costs and profits

Revenue, Costs and Profit: The Financial Foundations

Understanding the financial performance of a business starts with three fundamental concepts: revenue, costs, and profit. These are the building blocks of all financial analysis at GCSE level, and they underpin the ability to assess whether a business is commercially viable.

Revenue

Revenue (also called turnover or sales revenue) is the total income generated by a business from its sales before any costs are deducted. It is calculated using a simple formula:

Revenue = Selling price × Quantity sold

For example, if a business sells 500 units at £12 each, its revenue is £6,000. Revenue tells us how much money is coming into the business, but it does not tell us how much the business is keeping - that depends on costs.

Fixed and Variable Costs

Costs can be divided into two categories based on how they behave as output changes:

  • Fixed costs are costs that do not change with the level of output. They must be paid whether the business produces nothing or operates at full capacity. Examples include: rent, business rates, insurance, and loan repayments. Even if a shop sells nothing one month, it still owes rent.
  • Variable costs are costs that change directly in proportion to the level of output. They rise as more is produced and fall when production decreases. Examples include: raw materials, packaging, and direct labour paid per unit produced.

Total costs are the sum of all fixed and variable costs:

Total costs = Fixed costs + Variable costs

Profit, Loss and Interest

Profit is the amount remaining when total costs are subtracted from total revenue. If total costs exceed revenue, the business makes a loss:

Profit / Loss = Revenue − Total costs

Interest is the cost of borrowing money. If a business takes out a loan, it must repay the original amount (the principal) plus interest. Interest is calculated as a percentage of the amount borrowed. For example, a £10,000 loan at 5% annual interest costs £500 per year in interest payments - this is a fixed cost that must be factored into total costs.

Break-Even Analysis

Break-even is the level of output at which total revenue exactly equals total costs - the business makes neither a profit nor a loss. Knowing the break-even point helps a business judge whether its planned level of sales is sufficient to avoid making a loss.

The break-even formula is:

Break-even output = Fixed costs ÷ (Selling price per unit − Variable cost per unit)

The term contribution per unit refers to the selling price minus the variable cost per unit. Each unit sold contributes this amount towards covering fixed costs - once fixed costs are fully covered, each additional unit contributes directly to profit.

Scenario: A candle maker has fixed costs of £600 per month. Each candle sells for £8 and costs £3 to make (variable cost per unit).

  • Contribution per unit = £8 − £3 = £5
  • Break-even output = £600 ÷ £5 = 120 candles per month

This means the candle maker must sell at least 120 candles per month before making any profit. If she sells 150 candles:

  • Revenue = 150 × £8 = £1,200
  • Variable costs = 150 × £3 = £450
  • Total costs = £600 + £450 = £1,050
  • Profit = £1,200 − £1,050 = £150

A break-even diagram is a line graph that plots revenue and total costs against output. The point at which the two lines cross is the break-even point.

  • The fixed costs line is horizontal - it does not change with output.
  • The total costs line starts at the fixed cost level (when output is zero) and rises as output increases.
  • The revenue line starts at the origin (zero revenue when zero units are sold) and rises as more units are sold.
  • To the left of the break-even point, total costs exceed revenue - the business is making a loss.
  • To the right of the break-even point, revenue exceeds total costs - the business is making a profit.

Changes in selling price or costs shift the lines on the diagram, altering the break-even point. A price increase shifts the revenue line upward, reducing the break-even quantity. A rise in fixed costs shifts the total costs line upward, increasing the break-even quantity.

The margin of safety is the difference between the actual (or forecast) level of output and the break-even output. It shows how far sales can fall before the business starts making a loss.

Margin of safety = Actual output − Break-even output

Example: Using the candle maker scenario - break-even output is 120 units. If she currently sells 150 candles per month:

  • Margin of safety = 150 − 120 = 30 candles

This means sales could fall by up to 30 candles per month before the business begins to make a loss. A larger margin of safety indicates a more secure position; a small margin of safety means the business is vulnerable to even small drops in sales.

 Key Takeaways

  • Revenue = Selling price × Quantity sold. It is income before costs are deducted.
  • Fixed costs do not change with output; variable costs rise and fall with output.
  • Profit / Loss = Revenue − Total costs.
  • Break-even output = Fixed costs ÷ Contribution per unit, where contribution = Selling price − Variable cost per unit.
  • The margin of safety shows how far output can fall below current levels before the business makes a loss.
  • Interest is the cost of borrowing and must be treated as a business cost when calculating total costs and profit.