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Percentage Profit and Loss Worksheet

GCSEMedium to Hard20 questions

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Formulas

% Profit = (Profit ÷ Cost Price) × 100

% Loss = (Loss ÷ Cost Price) × 100

Always divide by the cost price (the original price paid), not the selling price.

Calculate percentage profit or loss using the cost price. % Profit = (Profit / Cost Price) x 100. % Loss = (Loss / Cost Price) x 100.

  1. Q1. Cost price £20, selling price £25. Find the profit and the percentage profit.

  2. Q2. Cost price £40, selling price £50. Find the profit and the percentage profit.

  3. Q3. Cost price £60, selling price £45. Find the loss and the percentage loss.

  4. Q4. Cost price £80, selling price £100. Find the profit and the percentage profit.

  5. Q5. Cost price £120, selling price £144. Find the profit and the percentage profit.

  6. Q6. Cost price £250, selling price £200. Find the loss and the percentage loss.

  7. Q7. Cost price £15, selling price £18. Find the percentage profit.

  8. Q8. Cost price £75, selling price £90. Find the percentage profit.

  9. Q9. Cost price £500, selling price £650. Find the percentage profit.

  10. Q10. Cost price £400, selling price £340. Find the percentage loss.

  11. Q11. Cost price £30, selling price £39. Find the percentage profit.

  12. Q12. Cost price £200, selling price £170. Find the percentage loss.

  13. Q13. A trader buys goods for £360 and sells them for £450. Find the percentage profit.

  14. Q14. A house bought for £150,000 is sold for £180,000. Find the percentage profit.

  15. Q15. A car bought for £8,000 is sold for £6,400. Find the percentage loss.

  16. Q16. A laptop cost £640 and is sold for £800. Find the percentage profit.

  17. Q17. A shop buys 100 items at £3 each and sells each one for £3.75. Find the percentage profit.

  18. Q18. A bike bought for £450 is sold for £315. Find the percentage loss.

  19. Q19. A painting bought for £2,400 is sold for £3,120. Find the percentage profit.

  20. Q20. A sofa costing £960 is sold at a loss of 12.5%. Find the selling price.

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Worked Answers

  1. Q1. Profit = £25 − £20 = £5. % profit = (5 / 20) × 100 = 25%
  2. Q2. Profit = £50 − £40 = £10. % profit = (10 / 40) × 100 = 25%
  3. Q3. Loss = £60 − £45 = £15. % loss = (15 / 60) × 100 = 25%
  4. Q4. Profit = £100 − £80 = £20. % profit = (20 / 80) × 100 = 25%
  5. Q5. Profit = £144 − £120 = £24. % profit = (24 / 120) × 100 = 20%
  6. Q6. Loss = £250 − £200 = £50. % loss = (50 / 250) × 100 = 20%
  7. Q7. Profit = £18 − £15 = £3. % profit = (3 / 15) × 100 = 20%
  8. Q8. Profit = £90 − £75 = £15. % profit = (15 / 75) × 100 = 20%
  9. Q9. Profit = £650 − £500 = £150. % profit = (150 / 500) × 100 = 30%
  10. Q10. Loss = £400 − £340 = £60. % loss = (60 / 400) × 100 = 15%
  11. Q11. Profit = £39 − £30 = £9. % profit = (9 / 30) × 100 = 30%
  12. Q12. Loss = £200 − £170 = £30. % loss = (30 / 200) × 100 = 15%
  13. Q13. Profit = £450 − £360 = £90. % profit = (90 / 360) × 100 = 25%
  14. Q14. Profit = £180,000 − £150,000 = £30,000. % profit = (30,000 / 150,000) × 100 = 20%
  15. Q15. Loss = £8,000 − £6,400 = £1,600. % loss = (1,600 / 8,000) × 100 = 20%
  16. Q16. Profit = £800 − £640 = £160. % profit = (160 / 640) × 100 = 25%
  17. Q17. Profit per item = £3.75 − £3 = £0.75. % profit = (0.75 / 3) × 100 = 25%
  18. Q18. Loss = £450 − £315 = £135. % loss = (135 / 450) × 100 = 30%
  19. Q19. Profit = £3,120 − £2,400 = £720. % profit = (720 / 2,400) × 100 = 30%
  20. Q20. Loss = £960 × 0.125 = £120. Selling price = £960 − £120 = £840

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