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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 186 · 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.A bag marked ₹1260 is sold at a 25% discount. What is its selling price? (a) ₹1235 (b) ₹1575 (c) ₹945 (d) ₹315
  2. 2.A shopkeeper buys a toy for ₹580 and sells it for ₹667. What is his profit percent? (a) 87% (b) 15% (c) 20% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹760 and sells it for ₹836. What is his profit percent? (a) 10% (b) 15% (c) 76% (d) 5%
  4. 4.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 30% (b) 25% (c) 90% (d) 35%
  5. 5.A bag marked ₹1760 is sold at a 10% discount. What is its selling price? (a) ₹1584 (b) ₹1936 (c) ₹1750 (d) ₹176
  6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 25% (b) 60% (c) 20% (d) 15%
  8. 8.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 15% (b) 5% (c) 38% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 72%
  10. 10.A shopkeeper buys a toy for ₹960 and sells it for ₹1056. What is his profit percent? (a) 5% (b) 96% (c) 10% (d) 15%
  11. 11.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 10% (b) 21% (c) 15% (d) 20%
  12. 12.A bag marked ₹360 is sold at a 20% discount. What is its selling price? (a) ₹340 (b) ₹288 (c) ₹432 (d) ₹72
  13. 13.What is 25% of 80? (a) 60 (b) 40 (c) 200 (d) 20
  14. 14.A bag marked ₹1120 is sold at a 40% discount. What is its selling price? (a) ₹672 (b) ₹1080 (c) ₹1568 (d) ₹448
  15. 15.What is 75% of 500? (a) 375 (b) 3750 (c) 750 (d) 125
  16. 16.What is 30% of 980? (a) 686 (b) 588 (c) 294 (d) 2940
  17. 17.What is 40% of 920? (a) 368 (b) 552 (c) 3680 (d) 736
  18. 18.What is 10% of 40? (a) 40 (b) 36 (c) 8 (d) 4
  19. 19.What is 20% of 540? (a) 108 (b) 1080 (c) 432 (d) 216
  20. 20.What is 75% of 660? (a) 4950 (b) 990 (c) 495 (d) 165
  21. 21.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 10% (b) 18% (c) 6% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹780 and sells it for ₹1170. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  23. 23.What is 15% of 460? (a) 690 (b) 391 (c) 69 (d) 138
  24. 24.A shopkeeper buys a toy for ₹800 and sells it for ₹1120. What is his profit percent? (a) 45% (b) 40% (c) 41% (d) 35%
  25. 25.A shopkeeper buys a toy for ₹680 and sells it for ₹714. What is his profit percent? (a) 10% (b) 6% (c) 34% (d) 5%
  26. 26.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 60%
  27. 27.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
  28. 28.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹610 (b) ₹62 (c) ₹558 (d) ₹682
  29. 29.What is 30% of 160? (a) 96 (b) 112 (c) 48 (d) 480
  30. 30.A shopkeeper buys a toy for ₹780 and sells it for ₹585. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  31. 31.What is 20% of 600? (a) 480 (b) 240 (c) 1200 (d) 120
  32. 32.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 16% (b) 10% (c) 20% (d) 15%
  33. 33.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 28% (b) 5% (c) 15% (d) 10%
  34. 34.A shopkeeper buys a toy for ₹740 and sells it for ₹925. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%
  35. 35.What is 40% of 980? (a) 784 (b) 3920 (c) 392 (d) 588
  36. 36.A bag marked ₹1620 is sold at a 10% discount. What is its selling price? (a) ₹1782 (b) ₹162 (c) ₹1458 (d) ₹1610
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 5% (b) 15% (c) 26% (d) 10%
  38. 38.A shopkeeper buys a toy for ₹960 and sells it for ₹912. What is his loss percent? (a) 48% (b) 10% (c) 6% (d) 5%
  39. 39.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 84% (b) 35% (c) 30% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 5% (b) 6% (c) 25% (d) 10%

Answer key

  1. ₹945
  2. 15%
  3. 10%
  4. 30%
  5. ₹1584
  6. 40%
  7. 20%
  8. 10%
  9. 30%
  10. 10%
  11. 15%
  12. ₹288
  13. 20
  14. ₹672
  15. 375
  16. 294
  17. 368
  18. 4
  19. 108
  20. 495
  21. 5%
  22. 50%
  23. 69
  24. 40%
  25. 5%
  26. 10%
  27. 15%
  28. ₹558
  29. 48
  30. 25%
  31. 120
  32. 15%
  33. 10%
  34. 25%
  35. 392
  36. ₹1458
  37. 10%
  38. 5%
  39. 30%
  40. 5%

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