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
In a sale, all normal prices are reduced by $20\%$ .

The sale price of a coat is £ $68$

Work out the normal price of the coat. (3 marks)
Level 3 · 3 marksTry it
2
A beekeeper collected $1596$ kg of honey this year.

This was $\dfrac{2}{9}$ less than the amount of honey she collected last year.

Work out how much honey the beekeeper collected last year.

(3 marks)
Level 3 · 3 marksTry it
3
In a sale, all prices are reduced by 25%. A coat costs £57 in the sale. Work out the original price of the coat.
Level 3 · 3 marksTry it
4
In a sale, all prices are reduced by $20\%$ .

A pair of trainers costs £ $68$ in the sale.

Work out the original price of the trainers.
Level 3 · 2 marksTry it