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

DifficultyAllLevel 1Level 2Level 3Level 4Level 5
  1. 1
    A price is increased by 12%, and then that new price is increased by a further 5%. After both increases the price is £176.40. Work out the original price.
    Level 5 · 3 marksTry it
  2. 2
    The price of a games console was increased by 25%25\%, and the new price was later reduced by 10%10\% in a sale.

    The console now costs £405405.

    Work out the price before either change.
    Level 5 · 3 marksTry it