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Reverse Percentages

Reverse Percentages

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Lesson

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8 minute activity

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Flow diagram showing a 5% increase from £200 to £210 using ×1.05 and reverse ÷1.05, and a 20% decrease from £35 to £28 using ×0.80 and reverse ÷0.80

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×m

where mmm is the multiplier. To work backwards, use the inverse formula:

O=Fm O = \frac{F}{m} O=mF​

For 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.

Questions

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36 exam-style questions

Practice questions

Question 1

2 marks

The value of a house increased by 6%.
The house then had a value of £265 000

Flashcards

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20 flashcards

Practice flashcards

In reverse percentages, the percentage change is based on which amount?

Reverse Percentages Revision Guide

  1. GCSE
  2. /Maths
  3. /Reverse Percentages

Revision notes for CCEA GCSE Maths Reverse Percentages: explanations and worked examples.

Practise questions

1 of 5

After a 25% reduction, a pair of trainers costs £36. What was the original price?