Reverse percentages (AQA GCSE Maths): Flashcards

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Reverse percentages
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Reverse percentages definition

Find original from final after % change

What are multipliers?

Decimals representing % changes

Reverse % formula

Original=FinalMultiplier\text{Original} = \frac{\text{Final}}{\text{Multiplier}}

Multiplier for % decrease

(100%percentage)÷100(100\% - \text{percentage}) \div 100

Multiplier for % increase

(100%+percentage)÷100(100\% + \text{percentage}) \div 100

Multiplier for 20% decrease

0.80.8

Multiplier for 5% increase

1.051.05

How to find original amount?

Divide final amount by multiplier

How to check reverse % answer?

Work forwards: original×multiplier=final\text{original} \times \text{multiplier} = \text{final}

What to show in reverse % exam Q?

Clear working with multiplier

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