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Percentage increase and decrease
AQA GCSE Mathematics practice questions with step-by-step solutions
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EasyQuestion 1
[2 marks]Increase £80 by 15%.
Solution for Question 1
MediumQuestion 2
[3 marks]A car is worth £12,500.
Its value decreases by 18% each year.
Work out its value after 1 year.
Solution for Question 2
HardQuestion 3
[4 marks]A population increases by 12% one year and then decreases by 8% the next year.
If the starting population was 25,000, what is the population after 2 years?
Solution for Question 3
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Generate Unlimited QuestionsAbout Percentage increase and decrease in AQA GCSE
For percentage increase, multiply by (100 + percentage)%. For example, to increase by 25%, multiply by 125% = 1.25. For percentage decrease, multiply by (100 - percentage)%. To decrease by 25%, multiply by 75% = 0.75.
Using multipliers is faster than calculating the increase/decrease and then adding/subtracting. It's especially useful for repeated percentage changes and calculator questions.
Common multipliers to memorise: increase by 10% → ×1.1, increase by 20% → ×1.2, decrease by 10% → ×0.9, decrease by 25% → ×0.75, increase by 5% → ×1.05.
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