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Reverse percentages ask you to find the amount before a percentage change. First identify the original amount, the final amount, and whether the change was an increase or a decrease.
The forward rule is:
F=O×m F = O \times m F=O×mwhere mmm is the multiplier. To work backwards, use the inverse formula:
O=Fm O = \frac{F}{m} O=mFFor an increase, the multiplier is more than 111, like 1.101.101.10 for a 10%10\%10% increase. For a decrease, the multiplier is less than 111, like 0.800.800.80 for a 20%20\%20% decrease.
Question 1
2 marksThe value of a house increased by 6%.
The house then had a value of £265 000
In reverse percentages, the percentage change is based on which amount?
Revision notes for Edexcel GCSE Maths Reverse Percentages. Open the guide for explanations and worked examples. Written against the Edexcel GCSE Maths (1MA1) specification, so the content matches what's examinable rather than general Maths background.
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After a 25% reduction, a pair of trainers costs £36. What was the original price?