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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 820 · 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 ₹300 and sells it for ₹360. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 60%
  2. 2.A bag marked ₹1060 is sold at a 15% discount. What is its selling price? (a) ₹1219 (b) ₹159 (c) ₹1045 (d) ₹901
  3. 3.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 23%
  4. 4.What is 60% of 500? (a) 3000 (b) 200 (c) 600 (d) 300
  5. 5.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 31% (b) 25% (c) 35% (d) 30%
  6. 6.A bag marked ₹1080 is sold at a 10% discount. What is its selling price? (a) ₹108 (b) ₹1070 (c) ₹972 (d) ₹1188
  7. 7.A bag marked ₹560 is sold at a 30% discount. What is its selling price? (a) ₹728 (b) ₹530 (c) ₹392 (d) ₹168
  8. 8.What is 15% of 140? (a) 119 (b) 21 (c) 210 (d) 42
  9. 9.A bag marked ₹700 is sold at a 25% discount. What is its selling price? (a) ₹525 (b) ₹175 (c) ₹875 (d) ₹675
  10. 10.A bag marked ₹820 is sold at a 40% discount. What is its selling price? (a) ₹1148 (b) ₹328 (c) ₹492 (d) ₹780
  11. 11.A shopkeeper buys a toy for ₹820 and sells it for ₹861. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 41%
  12. 12.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 10% (b) 6% (c) 28% (d) 5%
  13. 13.A bag marked ₹1880 is sold at a 15% discount. What is its selling price? (a) ₹2162 (b) ₹1865 (c) ₹282 (d) ₹1598
  14. 14.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 96% (b) 10% (c) 15% (d) 20%
  15. 15.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 35% (b) 40% (c) 45% (d) 72%
  16. 16.A bag marked ₹640 is sold at a 50% discount. What is its selling price? (a) ₹590 (b) ₹320 (c) ₹321 (d) ₹960
  17. 17.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 99% (b) 20% (c) 15% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 10% (b) 5% (c) 20% (d) 6%
  19. 19.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 5% (b) 18% (c) 10% (d) 15%
  20. 20.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  21. 21.What is 75% of 200? (a) 1500 (b) 150 (c) 300 (d) 50
  22. 22.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  23. 23.What is 50% of 160? (a) 81 (b) 160 (c) 80 (d) 800
  24. 24.What is 75% of 720? (a) 540 (b) 5400 (c) 180 (d) 1080
  25. 25.A bag marked ₹1840 is sold at a 10% discount. What is its selling price? (a) ₹1830 (b) ₹2024 (c) ₹1656 (d) ₹184
  26. 26.A bag marked ₹1780 is sold at a 15% discount. What is its selling price? (a) ₹267 (b) ₹1765 (c) ₹1513 (d) ₹2047
  27. 27.A shopkeeper buys a toy for ₹960 and sells it for ₹1056. What is his profit percent? (a) 5% (b) 96% (c) 15% (d) 10%
  28. 28.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  29. 29.What is 50% of 60? (a) 30 (b) 31 (c) 60 (d) 300
  30. 30.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 25% (b) 15% (c) 36% (d) 20%
  31. 31.A bag marked ₹760 is sold at a 30% discount. What is its selling price? (a) ₹988 (b) ₹228 (c) ₹532 (d) ₹730
  32. 32.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹1150 (b) ₹230 (c) ₹690 (d) ₹895
  33. 33.A bag marked ₹1780 is sold at a 10% discount. What is its selling price? (a) ₹1602 (b) ₹1770 (c) ₹178 (d) ₹1958
  34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹364. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 84%
  35. 35.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 16%
  36. 36.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  37. 37.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 84% (b) 35% (c) 25% (d) 30%
  38. 38.What is 75% of 480? (a) 120 (b) 3600 (c) 720 (d) 360
  39. 39.What is 75% of 520? (a) 130 (b) 3900 (c) 780 (d) 390
  40. 40.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 68% (b) 15% (c) 5% (d) 10%

Answer key

  1. 20%
  2. ₹901
  3. 5%
  4. 300
  5. 30%
  6. ₹972
  7. ₹392
  8. 21
  9. ₹525
  10. ₹492
  11. 5%
  12. 5%
  13. ₹1598
  14. 15%
  15. 40%
  16. ₹320
  17. 15%
  18. 5%
  19. 10%
  20. 50%
  21. 150
  22. 40%
  23. 80
  24. 540
  25. ₹1656
  26. ₹1513
  27. 10%
  28. 40%
  29. 30
  30. 20%
  31. ₹532
  32. ₹690
  33. ₹1602
  34. 30%
  35. 15%
  36. 30%
  37. 30%
  38. 360
  39. 390
  40. 10%

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