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Percentage Decrease Flashcards
GCSE Mathematics (Edexcel) 1MA1
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Percentage decrease
The reduction in a value expressed as a percentage of the original value.
Formula for percentage decrease
(Original value - New value) ÷ Original value × 100.
Steps to calculate percentage decrease
1. Subtract the new value from the original value. 2. Divide the result by the original value. 3. Multiply by 100.
Percentage decrease example
If a price drops from £50 to £40, the percentage decrease is ((50 - 40) ÷ 50) × 100 = 20%.
Interpreting percentage decrease
A percentage decrease shows how much smaller a value has become compared to its original size.
Reverse percentage decrease
Finding the original value before a percentage decrease by dividing the new value by (1 - percentage decrease as a decimal).
Reverse percentage decrease example
If a price after a 20% decrease is £80, the original price is £80 ÷ 0.8 = £100.
Percentage decrease in context
Used in real-life scenarios such as discounts, sales, and reductions in measurements.
Common mistake in percentage decrease
Forgetting to divide by the original value when calculating the percentage decrease.
Percentage decrease vs percentage change
Percentage decrease specifically refers to a reduction, while percentage change can refer to both increases and decreases.

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