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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 340 · 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 ₹315. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹840 and sells it for ₹1008. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  3. 3.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 20% (b) 90% (c) 10% (d) 15%
  4. 4.What is 50% of 320? (a) 160 (b) 1600 (c) 320 (d) 161
  5. 5.A shopkeeper buys a toy for ₹980 and sells it for ₹1078. What is his profit percent? (a) 10% (b) 98% (c) 5% (d) 15%
  6. 6.A shopkeeper buys a toy for ₹360 and sells it for ₹504. What is his profit percent? (a) 41% (b) 45% (c) 40% (d) 35%
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹352. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 32%
  8. 8.A shopkeeper buys a toy for ₹160 and sells it for ₹112. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 48%
  9. 9.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 35% (b) 78% (c) 25% (d) 30%
  10. 10.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  11. 11.What is 10% of 460? (a) 46 (b) 414 (c) 92 (d) 460
  12. 12.A shopkeeper buys a toy for ₹540 and sells it for ₹675. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  13. 13.A shopkeeper buys a toy for ₹720 and sells it for ₹684. What is his loss percent? (a) 6% (b) 36% (c) 10% (d) 5%
  14. 14.A shopkeeper buys a toy for ₹740 and sells it for ₹814. What is his profit percent? (a) 15% (b) 74% (c) 5% (d) 10%
  15. 15.A shopkeeper buys a toy for ₹840 and sells it for ₹630. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  16. 16.What is 5% of 540? (a) 27 (b) 270 (c) 54 (d) 513
  17. 17.A bag marked ₹1100 is sold at a 15% discount. What is its selling price? (a) ₹1085 (b) ₹165 (c) ₹1265 (d) ₹935
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  19. 19.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  20. 20.A bag marked ₹380 is sold at a 10% discount. What is its selling price? (a) ₹38 (b) ₹418 (c) ₹370 (d) ₹342
  21. 21.A shopkeeper buys a toy for ₹120 and sells it for ₹108. What is his loss percent? (a) 10% (b) 15% (c) 12% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹920 and sells it for ₹1150. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  23. 23.What is 20% of 120? (a) 240 (b) 48 (c) 24 (d) 96
  24. 24.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  25. 25.What is 75% of 560? (a) 420 (b) 840 (c) 140 (d) 4200
  26. 26.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  27. 27.What is 60% of 760? (a) 456 (b) 4560 (c) 304 (d) 912
  28. 28.A bag marked ₹1720 is sold at a 25% discount. What is its selling price? (a) ₹2150 (b) ₹430 (c) ₹1695 (d) ₹1290
  29. 29.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 5% (b) 15% (c) 30% (d) 10%
  30. 30.A bag marked ₹620 is sold at a 15% discount. What is its selling price? (a) ₹93 (b) ₹605 (c) ₹713 (d) ₹527
  31. 31.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 5% (b) 20% (c) 15% (d) 10%
  32. 32.What is 60% of 340? (a) 2040 (b) 204 (c) 408 (d) 136
  33. 33.What is 10% of 1000? (a) 900 (b) 200 (c) 1000 (d) 100
  34. 34.What is 20% of 880? (a) 1760 (b) 352 (c) 704 (d) 176
  35. 35.A shopkeeper buys a toy for ₹400 and sells it for ₹480. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 80%
  36. 36.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  37. 37.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 10% (b) 20% (c) 21% (d) 15%
  38. 38.A shopkeeper buys a toy for ₹580 and sells it for ₹348. What is his loss percent? (a) 35% (b) 40% (c) 41% (d) 45%
  39. 39.A shopkeeper buys a toy for ₹440 and sells it for ₹396. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 44%
  40. 40.What is 60% of 140? (a) 84 (b) 168 (c) 840 (d) 56

Answer key

  1. 5%
  2. 20%
  3. 15%
  4. 160
  5. 10%
  6. 40%
  7. 10%
  8. 30%
  9. 30%
  10. 40%
  11. 46
  12. 25%
  13. 5%
  14. 10%
  15. 25%
  16. 27
  17. ₹935
  18. 20%
  19. 50%
  20. ₹342
  21. 10%
  22. 25%
  23. 24
  24. 40%
  25. 420
  26. 50%
  27. 456
  28. ₹1290
  29. 10%
  30. ₹527
  31. 10%
  32. 204
  33. 100
  34. 176
  35. 20%
  36. 40%
  37. 15%
  38. 40%
  39. 10%
  40. 84

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