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Percentage Decrease Worksheet

KS3-GCSE | Years 7-11Focused Practice20 questions

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Step-by-Step Method

Decrease £360 by 25%

Find 25% of £360:
10% of £360 = £36
25% = £36 × 2.5 = £90
New amount = £360 - £90 = £270

Answer: £270

Multiplier Method

Decrease £360 by 25%

A decrease of 25% means the new amount is 75% of the original.
Multiplier = 1 - 25 ÷ 100 = 0.75
£360 × 0.75 = £270

Answer: £270

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 (Q1-10)

  1. 1. Decrease £200 by 10%.

  2. 2. Decrease 450 by 20%.

  3. 3. Decrease £96 by 25%.

  4. 4. Decrease 680 by 15%.

  5. 5. Decrease £360 by 30%.

  6. 6. A price of £75 is reduced by 40% in a sale. Find the sale price.

  7. 7. Decrease 820 by 35%.

  8. 8. A car worth £12,000 loses 22% of its value. Find the new value.

  9. 9. Decrease 2,400 by 12.5%.

  10. 10. A salary of £30,000 is cut by 8%. Find the new salary.

Section B: Multiplier Method (Q11-20)

  1. 11. Decrease £500 by 18%.

  2. 12. Decrease 960 by 22.5%.

  3. 13. Decrease £6,400 by 6.5%.

  4. 14. A phone costing £480 drops in value by 15%. Find the new value.

  5. 15. Decrease £2,800 by 37.5%.

  6. 16. A house worth £320,000 falls in value by 5.5%. Find the new value.

  7. 17. Decrease 8,500 by 4.5%.

  8. 18. A budget of £4,800 is cut by 12%. Find the new budget.

  9. 19. Decrease £14,500 by 16.5%.

  10. 20. A population of 85,000 falls by 2.8%. Find the new population.

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Worked Answers

  1. 1. 10% of £200 = £20; £200 - £20 = £180
  2. 2. 20% of 450 = 90; 450 - 90 = 360
  3. 3. 25% of £96 = £24; £96 - £24 = £72
  4. 4. 15% of 680 = 102; 680 - 102 = 578
  5. 5. 30% of £360 = £108; £360 - £108 = £252
  6. 6. 40% of £75 = £30; £75 - £30 = £45
  7. 7. 35% of 820 = 287; 820 - 287 = 533
  8. 8. 22% of £12,000 = £2,640; £12,000 - £2,640 = £9,360
  9. 9. 12.5% of 2,400 = 300; 2,400 - 300 = 2,100
  10. 10. 8% of £30,000 = £2,400; £30,000 - £2,400 = £27,600
  11. 11. 500 × 0.82 = £410
  12. 12. 960 × 0.775 = 744
  13. 13. 6,400 × 0.935 = £5,984
  14. 14. 480 × 0.85 = £408
  15. 15. 2,800 × 0.625 = £1,750
  16. 16. 320,000 × 0.945 = £302,400
  17. 17. 8,500 × 0.955 = 8,117.50
  18. 18. 4,800 × 0.88 = £4,224
  19. 19. 14,500 × 0.835 = £12,107.50
  20. 20. 85,000 × 0.972 = 82,620

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