6.3 Reverse percentages — Practise with help
Try each question before opening a hint. Reveal the full working to check your method.
Warm-up: remember
- Write the multiplier for a 30% decrease.
- Work out 120% of 50.
Check your answers
- 0.7. 2. 60.
Practise with help
1. A price after a 25% reduction is £60. Find the original.
Hint
What percentage remains?
Full working
£60 ÷ 0.75 = £80.
2. A number after a 10% rise is 132. Find the start.
Hint
The final amount is 110% of the start.
Full working
132 ÷ 1.10 = 120.
3. A ticket costs £48 after a 20% discount. Find its original price.
Hint
Use 0.8 as the multiplier.
Full working
£48 ÷ 0.8 = £60.
Progress check: revisit your savings estimate. What calculation would make it exact?