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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 545 · 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 ₹320 and sells it for ₹336. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 16%
  2. 2.What is 50% of 500? (a) 2500 (b) 251 (c) 250 (d) 500
  3. 3.What is 50% of 760? (a) 381 (b) 380 (c) 760 (d) 3800
  4. 4.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  5. 5.What is 10% of 960? (a) 864 (b) 960 (c) 192 (d) 96
  6. 6.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 45% (b) 96% (c) 35% (d) 40%
  7. 7.A shopkeeper buys a toy for ₹820 and sells it for ₹1025. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  8. 8.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹1985 (b) ₹1700 (c) ₹300 (d) ₹2300
  9. 9.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
  10. 10.What is 25% of 300? (a) 75 (b) 750 (c) 225 (d) 150
  11. 11.A bag marked ₹920 is sold at a 15% discount. What is its selling price? (a) ₹1058 (b) ₹138 (c) ₹905 (d) ₹782
  12. 12.What is 5% of 880? (a) 88 (b) 440 (c) 836 (d) 44
  13. 13.What is 75% of 920? (a) 690 (b) 230 (c) 1380 (d) 6900
  14. 14.What is 10% of 60? (a) 60 (b) 12 (c) 54 (d) 6
  15. 15.What is 15% of 240? (a) 204 (b) 36 (c) 360 (d) 72
  16. 16.A shopkeeper buys a toy for ₹840 and sells it for ₹966. What is his profit percent? (a) 10% (b) 16% (c) 15% (d) 20%
  17. 17.A bag marked ₹560 is sold at a 20% discount. What is its selling price? (a) ₹448 (b) ₹540 (c) ₹672 (d) ₹112
  18. 18.A bag marked ₹440 is sold at a 20% discount. What is its selling price? (a) ₹528 (b) ₹88 (c) ₹420 (d) ₹352
  19. 19.What is 30% of 100? (a) 70 (b) 30 (c) 60 (d) 300
  20. 20.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 30% (b) 20% (c) 26% (d) 25%
  21. 21.A shopkeeper buys a toy for ₹720 and sells it for ₹684. What is his loss percent? (a) 10% (b) 6% (c) 36% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹360 and sells it for ₹270. What is his loss percent? (a) 30% (b) 90% (c) 25% (d) 20%
  23. 23.What is 50% of 60? (a) 60 (b) 31 (c) 30 (d) 300
  24. 24.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 5% (b) 10% (c) 18% (d) 6%
  25. 25.What is 75% of 180? (a) 45 (b) 270 (c) 1350 (d) 135
  26. 26.What is 50% of 940? (a) 471 (b) 470 (c) 940 (d) 4700
  27. 27.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  28. 28.What is 15% of 560? (a) 476 (b) 84 (c) 840 (d) 168
  29. 29.What is 30% of 300? (a) 90 (b) 900 (c) 180 (d) 210
  30. 30.A bag marked ₹800 is sold at a 40% discount. What is its selling price? (a) ₹480 (b) ₹1120 (c) ₹320 (d) ₹760
  31. 31.A shopkeeper buys a toy for ₹260 and sells it for ₹390. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  32. 32.What is 60% of 140? (a) 56 (b) 168 (c) 840 (d) 84
  33. 33.A shopkeeper buys a toy for ₹940 and sells it for ₹1034. What is his profit percent? (a) 94% (b) 15% (c) 10% (d) 5%
  34. 34.What is 10% of 240? (a) 240 (b) 48 (c) 216 (d) 24
  35. 35.A shopkeeper buys a toy for ₹940 and sells it for ₹752. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  36. 36.A bag marked ₹1680 is sold at a 10% discount. What is its selling price? (a) ₹1848 (b) ₹168 (c) ₹1670 (d) ₹1512
  37. 37.A bag marked ₹1420 is sold at a 50% discount. What is its selling price? (a) ₹1370 (b) ₹711 (c) ₹710 (d) ₹2130
  38. 38.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 10% (b) 6% (c) 43% (d) 5%
  39. 39.What is 20% of 260? (a) 104 (b) 52 (c) 208 (d) 520
  40. 40.A shopkeeper buys a toy for ₹580 and sells it for ₹696. What is his profit percent? (a) 21% (b) 15% (c) 25% (d) 20%

Answer key

  1. 5%
  2. 250
  3. 380
  4. 40%
  5. 96
  6. 40%
  7. 25%
  8. ₹1700
  9. 25%
  10. 75
  11. ₹782
  12. 44
  13. 690
  14. 6
  15. 36
  16. 15%
  17. ₹448
  18. ₹352
  19. 30
  20. 25%
  21. 5%
  22. 25%
  23. 30
  24. 5%
  25. 135
  26. 470
  27. 40%
  28. 84
  29. 90
  30. ₹480
  31. 50%
  32. 84
  33. 10%
  34. 24
  35. 20%
  36. ₹1512
  37. ₹710
  38. 5%
  39. 52
  40. 20%

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