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Percentage Increase and Decrease Worksheet

KS3-GCSE | Years 7-11Mixed30 questions

Free to print and use in your classroom. No sign-up required.

Step-by-Step Method

Increase £340 by 15%

Find 15% of £340:
10% of £340 = £34
5% of £340 = £17
15% = £34 + £17 = £51
New price = £340 + £51 = £391

Answer: £391

Multiplier Method

Increase £340 by 15%

Multiplier = 1 + 15 ÷ 100 = 1.15
£340 × 1.15 = £391

Answer: £391

For a decrease of 20%: multiplier = 1 - 0.20 = 0.80

Use the step-by-step method for Section A. Use the multiplier method for Section B. Show all working.

Section A: Step-by-Step Method (Q1-15)

  1. 1. Increase £200 by 10%.

  2. 2. Decrease 350 by 20%.

  3. 3. Increase £85 by 30%.

  4. 4. Decrease 640 by 25%.

  5. 5. Increase £120 by 15%.

  6. 6. Decrease £450 by 10%.

  7. 7. Increase 180 by 5%.

  8. 8. Decrease 240 by 15%.

  9. 9. A price of £36 is increased by 25%. Find the new price.

  10. 10. A shirt costs £48. It is reduced by 20% in a sale. Find the sale price.

  11. 11. Increase £680 by 12%.

  12. 12. Decrease 1,200 by 35%.

  13. 13. A salary of £24,000 receives a 5% pay rise. Find the new salary.

  14. 14. Decrease 840 by 17.5%.

  15. 15. Increase £560 by 22.5%.

Section B: Multiplier Method (Q16-30)

  1. 16. Increase £300 by 20%.

  2. 17. Decrease 480 by 25%.

  3. 18. Increase £750 by 16%.

  4. 19. Decrease 920 by 30%.

  5. 20. Increase £1,400 by 12.5%.

  6. 21. A house is worth £220,000. It increases in value by 7.5%. Find the new value.

  7. 22. A car is worth £15,500. It depreciates by 18% in the first year. Find its value after one year.

  8. 23. Decrease £4,200 by 14%.

  9. 24. An energy bill rises by 12.5% from £1,840. Find the new bill.

  10. 25. A shop reduces all items by 35%. A sofa originally costs £1,200. Find the sale price.

  11. 26. Increase 6,800 by 5.5%.

  12. 27. A population of 85,000 decreases by 3.5%. Find the new population.

  13. 28. Decrease £38,500 by 22%.

  14. 29. A flat is worth £195,000. It increases in value by 8.5% over one year. Find its new value.

  15. 30. A school's budget of £2,400,000 is cut by 6%. Find the new budget.

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Worked Answers

  1. 1. 10% of £200 = £20; £200 + £20 = £220
  2. 2. 20% of 350 = 70; 350 - 70 = 280
  3. 3. 30% of £85 = £25.50; £85 + £25.50 = £110.50
  4. 4. 25% of 640 = 160; 640 - 160 = 480
  5. 5. 10% of £120 = £12; 5% = £6; 15% = £18; £120 + £18 = £138
  6. 6. 10% of £450 = £45; £450 - £45 = £405
  7. 7. 5% of 180 = 9; 180 + 9 = 189
  8. 8. 15% of 240 = 36; 240 - 36 = 204
  9. 9. 25% of £36 = £9; £36 + £9 = £45
  10. 10. 20% of £48 = £9.60; £48 - £9.60 = £38.40
  11. 11. 10% of £680 = £68; 2% = £13.60; 12% = £81.60; £680 + £81.60 = £761.60
  12. 12. 35% of 1,200 = 420; 1,200 - 420 = 780
  13. 13. 5% of £24,000 = £1,200; £24,000 + £1,200 = £25,200
  14. 14. 17.5% of 840 = 147; 840 - 147 = 693
  15. 15. 22.5% of £560 = £126; £560 + £126 = £686
  16. 16. 300 × 1.20 = £360
  17. 17. 480 × 0.75 = 360
  18. 18. 750 × 1.16 = £870
  19. 19. 920 × 0.70 = 644
  20. 20. 1,400 × 1.125 = £1,575
  21. 21. 220,000 × 1.075 = £236,500
  22. 22. 15,500 × 0.82 = £12,710
  23. 23. 4,200 × 0.86 = £3,612
  24. 24. 1,840 × 1.125 = £2,070
  25. 25. 1,200 × 0.65 = £780
  26. 26. 6,800 × 1.055 = 7,174
  27. 27. 85,000 × 0.965 = 82,025
  28. 28. 38,500 × 0.78 = £30,030
  29. 29. 195,000 × 1.085 = £211,575
  30. 30. 2,400,000 × 0.94 = £2,256,000

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