AQA · Mathematics · 8300
GCSE Maths: Percentages: change
Ratio & Proportion · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths practice questions for Percentages: change (Corbettmaths Video 233), and every card links back to the exact page it came from. Practice tests generate fresh variations of these questions, so the numbers change every attempt. Source material © Corbettmaths — used with attribution.
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What is the formula to calculate percentage decrease?
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Percentage decrease = (decrease ÷ original value) × 100
What is the formula to calculate percentage increase?
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Percentage increase = (increase ÷ original value) × 100
When calculating percentage change, which value should be used as the denominator?
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The original (starting) value. The change is always divided by the original value.
When calculating percentage profit, what formula is used?
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Percentage profit = (profit ÷ cost price) × 100. Profit is the selling price minus cost price.
When units differ in a percentage change problem (e.g., grams and kilograms), what must you do first?
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Convert both values to the same unit before calculating the percentage change.
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