Reverse percentages
Learn Reverse percentages for Years 9–11 pupils (ages 13–16). Free practice questions, lessons and worked examples — aligned to the UK National Curriculum.
What you'll learn
- 1
A reverse percentage finds the ORIGINAL amount when you only know the amount after a change.
- 2
A 20% discount leaves 80%, so the multiplier is 0.8. To undo it, divide by 0.8.
- 3
What multiplier represents a 25% decrease?
- 4
Adding 20% back to a reduced price does NOT return the original. 20% of the smaller number is smaller.
- 5
A coat costs £48 after a 20% discount. Original = 48 ÷ 0.8 = £60. Check: 20% of 60 is 12, and 60 − 12 = 48. ✓
- 6
After a 10% increase a price is £55. What was it before?
- 7
To undo a 30% increase you should do what?
Practise Reverse percentages with Whizlo
Free AI-tutored lessons, unlimited practice questions, and progress tracking for ages 13–16. Aligned to the UK National Curriculum.