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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 312 · 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 ₹920 and sells it for ₹1288. What is his profit percent? (a) 45% (b) 40% (c) 41% (d) 35%
  2. 2.A shopkeeper buys a toy for ₹300 and sells it for ₹270. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 30%
  3. 3.A shopkeeper buys a toy for ₹100 and sells it for ₹80. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  4. 4.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  5. 5.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 16%
  6. 6.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 90% (b) 20% (c) 30% (d) 25%
  7. 7.What is 30% of 740? (a) 2220 (b) 518 (c) 444 (d) 222
  8. 8.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 5% (b) 22% (c) 15% (d) 10%
  9. 9.What is 15% of 800? (a) 240 (b) 120 (c) 680 (d) 1200
  10. 10.A bag marked ₹1460 is sold at a 50% discount. What is its selling price? (a) ₹731 (b) ₹1410 (c) ₹730 (d) ₹2190
  11. 11.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 35% (b) 6% (c) 10% (d) 5%
  12. 12.What is 25% of 620? (a) 465 (b) 155 (c) 310 (d) 1550
  13. 13.A shopkeeper buys a toy for ₹680 and sells it for ₹884. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  14. 14.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  15. 15.What is 40% of 540? (a) 2160 (b) 216 (c) 432 (d) 324
  16. 16.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  17. 17.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 78% (b) 5% (c) 10% (d) 15%
  18. 18.A shopkeeper buys a toy for ₹240 and sells it for ₹336. What is his profit percent? (a) 40% (b) 35% (c) 96% (d) 45%
  19. 19.What is 60% of 60? (a) 360 (b) 72 (c) 36 (d) 24
  20. 20.A bag marked ₹1660 is sold at a 10% discount. What is its selling price? (a) ₹1650 (b) ₹1826 (c) ₹166 (d) ₹1494
  21. 21.What is 25% of 420? (a) 315 (b) 105 (c) 1050 (d) 210
  22. 22.A shopkeeper buys a toy for ₹380 and sells it for ₹494. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹440 and sells it for ₹506. What is his profit percent? (a) 15% (b) 10% (c) 66% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹820 and sells it for ₹902. What is his profit percent? (a) 82% (b) 15% (c) 10% (d) 5%
  25. 25.What is 10% of 360? (a) 324 (b) 72 (c) 360 (d) 36
  26. 26.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 81%
  27. 27.A shopkeeper buys a toy for ₹260 and sells it for ₹364. What is his profit percent? (a) 35% (b) 41% (c) 40% (d) 45%
  28. 28.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 25% (b) 70% (c) 20% (d) 30%
  29. 29.A bag marked ₹1040 is sold at a 15% discount. What is its selling price? (a) ₹884 (b) ₹156 (c) ₹1025 (d) ₹1196
  30. 30.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹84 (b) ₹336 (c) ₹504 (d) ₹400
  31. 31.A bag marked ₹680 is sold at a 20% discount. What is its selling price? (a) ₹660 (b) ₹544 (c) ₹816 (d) ₹136
  32. 32.What is 40% of 920? (a) 3680 (b) 368 (c) 552 (d) 736
  33. 33.What is 20% of 940? (a) 1880 (b) 752 (c) 376 (d) 188
  34. 34.What is 30% of 360? (a) 216 (b) 252 (c) 1080 (d) 108
  35. 35.What is 50% of 440? (a) 440 (b) 2200 (c) 221 (d) 220
  36. 36.A shopkeeper buys a toy for ₹280 and sells it for ₹224. What is his loss percent? (a) 20% (b) 25% (c) 56% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 60% (b) 20% (c) 25% (d) 15%
  38. 38.What is 15% of 180? (a) 27 (b) 153 (c) 270 (d) 54
  39. 39.What is 25% of 320? (a) 80 (b) 800 (c) 240 (d) 160
  40. 40.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 64%

Answer key

  1. 40%
  2. 10%
  3. 20%
  4. 20%
  5. 15%
  6. 25%
  7. 222
  8. 10%
  9. 120
  10. ₹730
  11. 5%
  12. 155
  13. 30%
  14. 50%
  15. 216
  16. 30%
  17. 10%
  18. 40%
  19. 36
  20. ₹1494
  21. 105
  22. 30%
  23. 15%
  24. 10%
  25. 36
  26. 15%
  27. 40%
  28. 25%
  29. ₹884
  30. ₹336
  31. ₹544
  32. 368
  33. 188
  34. 108
  35. 220
  36. 20%
  37. 20%
  38. 27
  39. 80
  40. 40%

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