6.3 Reverse percentages — Practise

Work independently. Questions and answers below come from checked practice records.

1. After a 20% discount, a coat costs £72. Work out its original price.
2. A value after a 15% increase is 92. Work out its original value.
3. A price including 20% VAT is £54. Work out the price before VAT.
4. A value is reduced by 30% and is now 84. Work out its original value.
5. A television costs £408 after a 15% reduction. Work out the price before the reduction.
6. A value rises from an unknown amount to £138. The increase is 15%. Work out the starting value.
7. A number after a 12% decrease is 220. Work out the original number.
8. A learner subtracts 20% of £80 from £80 to reverse a 20% reduction. Explain the error and find the original if the reduced value is £80.
9. H H A price after 5% VAT is £210. Work out the price before VAT.
10. A phone is sold for £315 after a 30% discount. Work out its marked price.