Reverse Percentage Worksheet
Free to print and use in your classroom. No sign-up required.
Reverse Percentage Worksheet
Worked Example 1 (after an increase)
After a 20% increase, a price is £360. Find the original price.
The new price represents 120% of the original, so: 1.20 × original = £360
Original = £360 ÷ 1.20 = £300
Worked Example 2 (after a decrease)
After a 15% reduction, a price is £340. Find the original price.
The new price represents 85% of the original, so: 0.85 × original = £340
Original = £340 ÷ 0.85 = £400
Find the original value in each question. Show your working. Give monetary answers in pounds.
Section A: After an increase
1. After a 10% increase, a price is £220. Find the original price.
2. After a 20% increase, a price is £480. Find the original price.
3. After a 25% increase, a value is 625. Find the original value.
4. After a 5% increase, a price is £315. Find the original price.
5. After a 15% pay rise, a salary is £34,500. Find the original salary.
6. After a 30% increase, a value is 1,170. Find the original value.
7. After a 12% increase, a price is £672. Find the original price.
8. After a 7.5% increase, a salary is £32,250. Find the original salary.
9. After a 35% increase, a value is £810. Find the original value.
10. After a 4% increase, a price is £520. Find the original price.
11. After a 22% increase, a price is £488. Find the original price.
12. After a 12.5% increase, a salary is £36,000. Find the original salary.
Section B: After a decrease
13. After a 10% reduction, a price is £162. Find the original price.
14. After a 20% reduction, a price is £320. Find the original price.
15. After a 25% discount, a price is £225. Find the original price.
16. After a 15% reduction, a price is £425. Find the original price.
17. After a 30% discount, a price is £420. Find the original price.
18. After a 5% discount, a price is £57. Find the original price.
19. After a 40% discount, a price is £180. Find the original price.
20. After a 12% reduction, a price is £440. Find the original price.
21. A quantity decreases by 35% to become 325. Find the original quantity.
22. After a 17.5% reduction, a price is £330. Find the original price.
Section C: Mixed and multi-step
23. A restaurant bill is £46 including a 15% service charge. What was the bill before the service charge was added?
24. A price is increased by 20% and then decreased by 10%. The final price is £432. Find the original price.
25. After VAT at 20% is added, an item costs £84. What was the pre-VAT price? A student says “subtract 20% from £84 to get £67.20”. Explain why this is wrong and give the correct answer.
Free to print and use in your classroom. No sign-up required. percentages.co.uk