GCSE · Percentages & growth

Reverse percentagesExam-style questions

How to find the original amount before a percentage change, and why you must divide by the multiplier rather than apply the percentage to the new amount.

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18 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
The price of a train ticket increased by $20\%$ .

The new price is £ $54$

Work out the original price. (3 marks)
Level 2 · 3 marksTry it
2
(a) The price of a coat including VAT at $20\%$ is £ $54$ . Work out the price before VAT. [2]

(b) A price is increased by $10\%$ three times in a row. Work out the overall percentage increase. [2]
Level 2 · 4 marksTry it
3
After a $10\%$ increase, a price is £ $55$ . What was the original price?
Level 2 · 2 marksTry it
4
In a sale everything is $20\%$ off. A coat's sale price is £ $48$ . What was its price before the sale?
Level 2 · 2 marksTry it