Edexcel IGCSE Math A 1.6.F reverse percentages

Practise reverse-percentage questions by choosing the final multiplier and dividing the given value to recover the original amount.

Exam points

Choose the final multiplier, such as 1.12 after a 12% increase or 0.85 after a sale.
Divide the given sale price, score or distance by the multiplier to find the original value.
Distinguish reverse percentages from finding the percentage change itself.

[Maximum number: 3]

Teresa invests $ 2000 for 3 years in a savings account. She gets 4% each year compound interest.

Sam invested $\$T$ .
The value of his investment decreased by 9% each year.
At the end of the first year, the value of Sam's investment was $1365.

Work out the value of T.

$1365\div(1-0.09)=1365\div0.91$ T=1500

Marking guidance:
- M2 for a complete method
- M1 for equivalent setup such as $91\%=1365$ , (1-0.09)T=1365, or T-0.09T=1365
- A1 for 1500

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1.6.F Reverse percentages question 1