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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 237 · 40 questions
TalentJR

How to solve it (Always out of the cost): p% of N = N × p ÷ 100. Profit = selling price − cost price; profit % = profit ÷ cost price × 100 (loss works the same way). Discount = p% of the marked price; selling price = marked price − discount.

NameDateTime takenScore ___ / 40
  1. 1.What is 40% of 60? (a) 48 (b) 240 (c) 24 (d) 36
  2. 2.What is 75% of 800? (a) 600 (b) 1200 (c) 200 (d) 6000
  3. 3.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 30% (b) 25% (c) 35% (d) 31%
  4. 4.A shopkeeper buys a toy for ₹920 and sells it for ₹966. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 46%
  5. 5.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 46%
  7. 7.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  8. 8.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  9. 9.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 5% (b) 10% (c) 9% (d) 6%
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹420. What is his profit percent? (a) 50% (b) 51% (c) 55% (d) 45%
  11. 11.What is 15% of 420? (a) 357 (b) 126 (c) 630 (d) 63
  12. 12.A shopkeeper buys a toy for ₹620 and sells it for ₹868. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  13. 13.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 5% (b) 10% (c) 48% (d) 6%
  14. 14.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 5% (b) 34% (c) 10% (d) 6%
  15. 15.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
  16. 16.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 48%
  17. 17.A shopkeeper buys a toy for ₹680 and sells it for ₹408. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  18. 18.What is 60% of 560? (a) 672 (b) 336 (c) 224 (d) 3360
  19. 19.A bag marked ₹1560 is sold at a 40% discount. What is its selling price? (a) ₹624 (b) ₹1520 (c) ₹2184 (d) ₹936
  20. 20.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 11%
  21. 21.A bag marked ₹880 is sold at a 40% discount. What is its selling price? (a) ₹1232 (b) ₹840 (c) ₹352 (d) ₹528
  22. 22.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 35% (b) 5% (c) 6% (d) 10%
  23. 23.A bag marked ₹1260 is sold at a 30% discount. What is its selling price? (a) ₹1230 (b) ₹378 (c) ₹1638 (d) ₹882
  24. 24.What is 5% of 740? (a) 370 (b) 74 (c) 703 (d) 37
  25. 25.What is 75% of 820? (a) 615 (b) 205 (c) 6150 (d) 1230
  26. 26.What is 50% of 220? (a) 220 (b) 1100 (c) 111 (d) 110
  27. 27.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  28. 28.A bag marked ₹1760 is sold at a 10% discount. What is its selling price? (a) ₹1750 (b) ₹176 (c) ₹1584 (d) ₹1936
  29. 29.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 43% (b) 10% (c) 6% (d) 5%
  30. 30.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 15% (b) 10% (c) 27% (d) 20%
  31. 31.What is 40% of 200? (a) 120 (b) 160 (c) 800 (d) 80
  32. 32.A shopkeeper buys a toy for ₹720 and sells it for ₹612. What is his loss percent? (a) 20% (b) 16% (c) 10% (d) 15%
  33. 33.A shopkeeper buys a toy for ₹220 and sells it for ₹286. What is his profit percent? (a) 25% (b) 66% (c) 35% (d) 30%
  34. 34.A shopkeeper buys a toy for ₹500 and sells it for ₹650. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  35. 35.A shopkeeper buys a toy for ₹140 and sells it for ₹154. What is his profit percent? (a) 14% (b) 5% (c) 10% (d) 15%
  36. 36.A bag marked ₹560 is sold at a 50% discount. What is its selling price? (a) ₹280 (b) ₹281 (c) ₹510 (d) ₹840
  37. 37.What is 5% of 80? (a) 4 (b) 40 (c) 8 (d) 76
  38. 38.What is 60% of 960? (a) 5760 (b) 384 (c) 576 (d) 1152
  39. 39.What is 25% of 820? (a) 410 (b) 205 (c) 615 (d) 2050
  40. 40.A shopkeeper buys a toy for ₹100 and sells it for ₹130. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%

Answer key

  1. 24
  2. 600
  3. 30%
  4. 5%
  5. 30%
  6. 10%
  7. 25%
  8. 25%
  9. 5%
  10. 50%
  11. 63
  12. 40%
  13. 5%
  14. 5%
  15. 50%
  16. 10%
  17. 40%
  18. 336
  19. ₹936
  20. 5%
  21. ₹528
  22. 5%
  23. ₹882
  24. 37
  25. 615
  26. 110
  27. 25%
  28. ₹1584
  29. 5%
  30. 15%
  31. 80
  32. 15%
  33. 30%
  34. 30%
  35. 10%
  36. ₹280
  37. 4
  38. 576
  39. 205
  40. 30%

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