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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 471 · 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.

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  1. 1.A shopkeeper buys a toy for ₹680 and sells it for ₹510. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 35% (b) 31% (c) 30% (d) 25%
  3. 3.A shopkeeper buys a toy for ₹460 and sells it for ₹598. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  4. 4.What is 60% of 960? (a) 1152 (b) 576 (c) 5760 (d) 384
  5. 5.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 25% (b) 50% (c) 30% (d) 20%
  6. 6.A shopkeeper buys a toy for ₹580 and sells it for ₹725. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  7. 7.A shopkeeper buys a toy for ₹960 and sells it for ₹768. What is his loss percent? (a) 15% (b) 20% (c) 21% (d) 25%
  8. 8.What is 50% of 80? (a) 40 (b) 400 (c) 41 (d) 80
  9. 9.What is 75% of 820? (a) 1230 (b) 6150 (c) 205 (d) 615
  10. 10.What is 60% of 620? (a) 3720 (b) 248 (c) 744 (d) 372
  11. 11.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
  12. 12.What is 20% of 220? (a) 88 (b) 176 (c) 44 (d) 440
  13. 13.A shopkeeper buys a toy for ₹720 and sells it for ₹612. What is his loss percent? (a) 10% (b) 16% (c) 20% (d) 15%
  14. 14.What is 5% of 60? (a) 3 (b) 30 (c) 6 (d) 57
  15. 15.A shopkeeper buys a toy for ₹640 and sells it for ₹384. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  16. 16.What is 25% of 460? (a) 345 (b) 1150 (c) 230 (d) 115
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  18. 18.A shopkeeper buys a toy for ₹780 and sells it for ₹1014. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
  19. 19.What is 40% of 440? (a) 264 (b) 352 (c) 1760 (d) 176
  20. 20.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 30%
  21. 21.What is 60% of 460? (a) 276 (b) 2760 (c) 184 (d) 552
  22. 22.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 15% (b) 94% (c) 5% (d) 10%
  23. 23.A bag marked ₹1460 is sold at a 50% discount. What is its selling price? (a) ₹1410 (b) ₹731 (c) ₹730 (d) ₹2190
  24. 24.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  25. 25.A bag marked ₹200 is sold at a 20% discount. What is its selling price? (a) ₹240 (b) ₹40 (c) ₹180 (d) ₹160
  26. 26.A shopkeeper buys a toy for ₹980 and sells it for ₹1274. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  27. 27.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 10% (b) 5% (c) 11% (d) 6%
  28. 28.A shopkeeper buys a toy for ₹960 and sells it for ₹672. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  29. 29.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 96%
  30. 30.What is 60% of 360? (a) 432 (b) 2160 (c) 216 (d) 144
  31. 31.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  32. 32.What is 15% of 920? (a) 782 (b) 1380 (c) 276 (d) 138
  33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 50% (b) 5% (c) 10% (d) 15%
  34. 34.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 66% (b) 15% (c) 10% (d) 5%
  35. 35.A bag marked ₹1980 is sold at a 15% discount. What is its selling price? (a) ₹1683 (b) ₹1965 (c) ₹297 (d) ₹2277
  36. 36.What is 5% of 560? (a) 56 (b) 532 (c) 280 (d) 28
  37. 37.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 72% (b) 35% (c) 30% (d) 25%
  38. 38.A shopkeeper buys a toy for ₹620 and sells it for ₹372. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  39. 39.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 15% (c) 5% (d) 10%
  40. 40.What is 50% of 880? (a) 440 (b) 880 (c) 4400 (d) 441

Answer key

  1. 25%
  2. 30%
  3. 30%
  4. 576
  5. 25%
  6. 25%
  7. 20%
  8. 40
  9. 615
  10. 372
  11. 15%
  12. 44
  13. 15%
  14. 3
  15. 40%
  16. 115
  17. 25%
  18. 30%
  19. 176
  20. 15%
  21. 276
  22. 10%
  23. ₹730
  24. 15%
  25. ₹160
  26. 30%
  27. 5%
  28. 30%
  29. 30%
  30. 216
  31. 40%
  32. 138
  33. 10%
  34. 10%
  35. ₹1683
  36. 28
  37. 30%
  38. 40%
  39. 10%
  40. 440

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