Ratio, proportion and rates of changeKS3 / GCSE

Calculating profit as a percentage of cost

Express a profit as a percentage of the original cost.

  • Profit = selling price − cost price.
  • Profit percentage = profit ÷ cost price × 100.

Example 1

An item costs and is sold for . Find the profit as a percentage of the cost.

Profit
Use the original cost as the denominator.

Example 2

An item costs and is sold for . Find the profit as a percentage of the cost.

Profit
Use the original cost as the denominator.

Your turn

Question 1

An item costs and is sold for . Find the profit as a percentage of the cost.

Check answer
Profit
Use the original cost as the denominator.
Question 2

An item costs and is sold for . Find the profit as a percentage of the cost.

Check answer
Profit
Use the original cost as the denominator.
Question 3

An item costs and is sold for . Find the profit as a percentage of the cost.

Check answer
Profit
Use the original cost as the denominator.
Question 4

An item costs and is sold for . Find the profit as a percentage of the cost.

Check answer
Profit
Use the original cost as the denominator.
Question 5

An item costs and is sold for . Find the profit as a percentage of the cost.

Check answer
Profit
Use the original cost as the denominator.
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