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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 201 · 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 ₹780 and sells it for ₹975. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
  2. 2.A bag marked ₹1540 is sold at a 30% discount. What is its selling price? (a) ₹2002 (b) ₹1510 (c) ₹462 (d) ₹1078
  3. 3.A bag marked ₹520 is sold at a 20% discount. What is its selling price? (a) ₹624 (b) ₹500 (c) ₹416 (d) ₹104
  4. 4.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 45% (b) 30% (c) 25% (d) 20%
  5. 5.A shopkeeper buys a toy for ₹220 and sells it for ₹187. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 33%
  6. 6.What is 10% of 360? (a) 72 (b) 36 (c) 360 (d) 324
  7. 7.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 30% (b) 25% (c) 26% (d) 20%
  8. 8.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  9. 9.What is 75% of 900? (a) 225 (b) 6750 (c) 675 (d) 1350
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 15% (b) 56% (c) 25% (d) 20%
  11. 11.A shopkeeper buys a toy for ₹800 and sells it for ₹600. What is his loss percent? (a) 26% (b) 30% (c) 20% (d) 25%
  12. 12.A shopkeeper buys a toy for ₹480 and sells it for ₹672. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
  13. 13.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 10% (b) 16% (c) 15% (d) 5%
  14. 14.What is 75% of 700? (a) 175 (b) 525 (c) 1050 (d) 5250
  15. 15.A bag marked ₹1080 is sold at a 10% discount. What is its selling price? (a) ₹1070 (b) ₹972 (c) ₹1188 (d) ₹108
  16. 16.What is 15% of 460? (a) 138 (b) 690 (c) 69 (d) 391
  17. 17.A shopkeeper buys a toy for ₹660 and sells it for ₹858. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  18. 18.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 10% (b) 16% (c) 6% (d) 5%
  19. 19.A shopkeeper buys a toy for ₹620 and sells it for ₹465. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
  20. 20.What is 25% of 640? (a) 160 (b) 480 (c) 320 (d) 1600
  21. 21.What is 75% of 280? (a) 2100 (b) 70 (c) 420 (d) 210
  22. 22.What is 10% of 880? (a) 880 (b) 792 (c) 176 (d) 88
  23. 23.A bag marked ₹560 is sold at a 10% discount. What is its selling price? (a) ₹56 (b) ₹550 (c) ₹504 (d) ₹616
  24. 24.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 28%
  25. 25.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 5% (b) 15% (c) 80% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹780 and sells it for ₹546. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  27. 27.What is 10% of 780? (a) 780 (b) 702 (c) 78 (d) 156
  28. 28.A bag marked ₹1140 is sold at a 40% discount. What is its selling price? (a) ₹456 (b) ₹684 (c) ₹1100 (d) ₹1596
  29. 29.What is 20% of 140? (a) 28 (b) 280 (c) 112 (d) 56
  30. 30.What is 15% of 220? (a) 330 (b) 187 (c) 33 (d) 66
  31. 31.A shopkeeper buys a toy for ₹600 and sells it for ₹450. What is his loss percent? (a) 25% (b) 30% (c) 26% (d) 20%
  32. 32.A bag marked ₹540 is sold at a 30% discount. What is its selling price? (a) ₹162 (b) ₹702 (c) ₹510 (d) ₹378
  33. 33.What is 15% of 720? (a) 216 (b) 1080 (c) 612 (d) 108
  34. 34.A bag marked ₹1620 is sold at a 25% discount. What is its selling price? (a) ₹1595 (b) ₹2025 (c) ₹405 (d) ₹1215
  35. 35.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 43% (b) 5% (c) 10% (d) 6%
  36. 36.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  37. 37.A bag marked ₹760 is sold at a 10% discount. What is its selling price? (a) ₹684 (b) ₹750 (c) ₹76 (d) ₹836
  38. 38.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 5% (b) 10% (c) 78% (d) 15%
  39. 39.What is 10% of 60? (a) 54 (b) 6 (c) 12 (d) 60
  40. 40.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 10% (b) 5% (c) 45% (d) 6%

Answer key

  1. 25%
  2. ₹1078
  3. ₹416
  4. 25%
  5. 15%
  6. 36
  7. 25%
  8. 25%
  9. 675
  10. 20%
  11. 25%
  12. 40%
  13. 10%
  14. 525
  15. ₹972
  16. 69
  17. 30%
  18. 5%
  19. 25%
  20. 160
  21. 210
  22. 88
  23. ₹504
  24. 5%
  25. 10%
  26. 30%
  27. 78
  28. ₹684
  29. 28
  30. 33
  31. 25%
  32. ₹378
  33. 108
  34. ₹1215
  35. 5%
  36. 40%
  37. ₹684
  38. 10%
  39. 6
  40. 5%

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