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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 162 · 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 ₹440 and sells it for ₹484. What is his profit percent? (a) 15% (b) 10% (c) 44% (d) 5%
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹728. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  3. 3.What is 5% of 880? (a) 836 (b) 440 (c) 88 (d) 44
  4. 4.What is 50% of 860? (a) 430 (b) 860 (c) 431 (d) 4300
  5. 5.A bag marked ₹1860 is sold at a 10% discount. What is its selling price? (a) ₹1850 (b) ₹186 (c) ₹2046 (d) ₹1674
  6. 6.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
  7. 7.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 10% (b) 20% (c) 30% (d) 15%
  8. 8.A bag marked ₹1720 is sold at a 50% discount. What is its selling price? (a) ₹2580 (b) ₹860 (c) ₹861 (d) ₹1670
  9. 9.A shopkeeper buys a toy for ₹340 and sells it for ₹425. What is his profit percent? (a) 85% (b) 20% (c) 30% (d) 25%
  10. 10.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 15%
  11. 11.A shopkeeper buys a toy for ₹860 and sells it for ₹731. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  12. 12.What is 75% of 220? (a) 55 (b) 165 (c) 330 (d) 1650
  13. 13.What is 60% of 760? (a) 456 (b) 4560 (c) 304 (d) 912
  14. 14.A bag marked ₹940 is sold at a 20% discount. What is its selling price? (a) ₹920 (b) ₹752 (c) ₹1128 (d) ₹188
  15. 15.A bag marked ₹1440 is sold at a 10% discount. What is its selling price? (a) ₹1584 (b) ₹144 (c) ₹1296 (d) ₹1430
  16. 16.A bag marked ₹1460 is sold at a 30% discount. What is its selling price? (a) ₹1898 (b) ₹1022 (c) ₹1430 (d) ₹438
  17. 17.What is 75% of 100? (a) 750 (b) 75 (c) 25 (d) 150
  18. 18.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 86%
  19. 19.A shopkeeper buys a toy for ₹660 and sells it for ₹396. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  20. 20.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 21%
  21. 21.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 27% (b) 20% (c) 10% (d) 15%
  22. 22.A shopkeeper buys a toy for ₹980 and sells it for ₹1470. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  23. 23.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  24. 24.What is 30% of 160? (a) 112 (b) 48 (c) 480 (d) 96
  25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹990. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  26. 26.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 28% (b) 15% (c) 5% (d) 10%
  27. 27.A bag marked ₹1580 is sold at a 30% discount. What is its selling price? (a) ₹474 (b) ₹1550 (c) ₹2054 (d) ₹1106
  28. 28.A bag marked ₹380 is sold at a 20% discount. What is its selling price? (a) ₹456 (b) ₹360 (c) ₹76 (d) ₹304
  29. 29.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 10% (b) 15% (c) 24% (d) 5%
  30. 30.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  31. 31.A shopkeeper buys a toy for ₹140 and sells it for ₹84. What is his loss percent? (a) 35% (b) 56% (c) 40% (d) 45%
  32. 32.What is 25% of 200? (a) 100 (b) 500 (c) 150 (d) 50
  33. 33.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 20% (b) 65% (c) 30% (d) 25%
  34. 34.A shopkeeper buys a toy for ₹480 and sells it for ₹672. What is his profit percent? (a) 40% (b) 45% (c) 41% (d) 35%
  35. 35.What is 25% of 860? (a) 645 (b) 215 (c) 2150 (d) 430
  36. 36.A shopkeeper buys a toy for ₹920 and sells it for ₹1012. What is his profit percent? (a) 92% (b) 5% (c) 15% (d) 10%
  37. 37.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  38. 38.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 81%
  39. 39.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 5% (b) 10% (c) 35% (d) 6%
  40. 40.A shopkeeper buys a toy for ₹720 and sells it for ₹612. What is his loss percent? (a) 16% (b) 10% (c) 15% (d) 20%

Answer key

  1. 10%
  2. 40%
  3. 44
  4. 430
  5. ₹1674
  6. 15%
  7. 15%
  8. ₹860
  9. 25%
  10. 5%
  11. 15%
  12. 165
  13. 456
  14. ₹752
  15. ₹1296
  16. ₹1022
  17. 75
  18. 10%
  19. 40%
  20. 20%
  21. 15%
  22. 50%
  23. 50%
  24. 48
  25. 50%
  26. 10%
  27. ₹1106
  28. ₹304
  29. 10%
  30. 30%
  31. 40%
  32. 50
  33. 25%
  34. 40%
  35. 215
  36. 10%
  37. 40%
  38. 15%
  39. 5%
  40. 15%

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