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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 316 · 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 ₹480 and sells it for ₹408. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 72%
  2. 2.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 30% (b) 25% (c) 35% (d) 31%
  3. 3.What is 30% of 1000? (a) 300 (b) 600 (c) 3000 (d) 700
  4. 4.A shopkeeper buys a toy for ₹800 and sells it for ₹560. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  5. 5.What is 50% of 420? (a) 211 (b) 2100 (c) 420 (d) 210
  6. 6.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 21% (b) 5% (c) 10% (d) 6%
  7. 7.What is 75% of 160? (a) 1200 (b) 40 (c) 240 (d) 120
  8. 8.What is 15% of 180? (a) 270 (b) 27 (c) 54 (d) 153
  9. 9.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 15% (b) 36% (c) 25% (d) 20%
  10. 10.A shopkeeper buys a toy for ₹920 and sells it for ₹690. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  11. 11.A bag marked ₹1280 is sold at a 50% discount. What is its selling price? (a) ₹640 (b) ₹641 (c) ₹1920 (d) ₹1230
  12. 12.A bag marked ₹800 is sold at a 40% discount. What is its selling price? (a) ₹1120 (b) ₹320 (c) ₹480 (d) ₹760
  13. 13.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 25% (b) 15% (c) 60% (d) 20%
  14. 14.A shopkeeper buys a toy for ₹780 and sells it for ₹1092. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  15. 15.A shopkeeper buys a toy for ₹200 and sells it for ₹230. What is his profit percent? (a) 30% (b) 20% (c) 10% (d) 15%
  16. 16.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 26%
  17. 17.What is 60% of 860? (a) 344 (b) 1032 (c) 5160 (d) 516
  18. 18.A bag marked ₹1340 is sold at a 25% discount. What is its selling price? (a) ₹335 (b) ₹1675 (c) ₹1005 (d) ₹1315
  19. 19.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 50%
  20. 20.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 5% (b) 23% (c) 6% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹440 and sells it for ₹550. What is his profit percent? (a) 25% (b) 30% (c) 26% (d) 20%
  22. 22.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  23. 23.A shopkeeper buys a toy for ₹180 and sells it for ₹126. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 54%
  24. 24.A bag marked ₹1200 is sold at a 30% discount. What is its selling price? (a) ₹360 (b) ₹1560 (c) ₹840 (d) ₹1170
  25. 25.A shopkeeper buys a toy for ₹440 and sells it for ₹352. What is his loss percent? (a) 20% (b) 88% (c) 15% (d) 25%
  26. 26.What is 40% of 980? (a) 784 (b) 3920 (c) 392 (d) 588
  27. 27.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 68%
  28. 28.A shopkeeper buys a toy for ₹680 and sells it for ₹816. What is his profit percent? (a) 15% (b) 25% (c) 21% (d) 20%
  29. 29.What is 5% of 940? (a) 47 (b) 470 (c) 893 (d) 94
  30. 30.What is 75% of 240? (a) 180 (b) 1800 (c) 360 (d) 60
  31. 31.A bag marked ₹1760 is sold at a 15% discount. What is its selling price? (a) ₹1496 (b) ₹1745 (c) ₹2024 (d) ₹264
  32. 32.What is 5% of 820? (a) 41 (b) 410 (c) 82 (d) 779
  33. 33.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 36% (b) 25% (c) 35% (d) 30%
  34. 34.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  35. 35.A bag marked ₹1080 is sold at a 20% discount. What is its selling price? (a) ₹1060 (b) ₹1296 (c) ₹864 (d) ₹216
  36. 36.A shopkeeper buys a toy for ₹140 and sells it for ₹168. What is his profit percent? (a) 28% (b) 25% (c) 20% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹420 and sells it for ₹294. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  38. 38.What is 5% of 100? (a) 95 (b) 10 (c) 50 (d) 5
  39. 39.What is 40% of 140? (a) 56 (b) 84 (c) 112 (d) 560
  40. 40.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%

Answer key

  1. 15%
  2. 30%
  3. 300
  4. 30%
  5. 210
  6. 5%
  7. 120
  8. 27
  9. 20%
  10. 25%
  11. ₹640
  12. ₹480
  13. 20%
  14. 40%
  15. 15%
  16. 5%
  17. 516
  18. ₹1005
  19. 25%
  20. 5%
  21. 25%
  22. 20%
  23. 30%
  24. ₹840
  25. 20%
  26. 392
  27. 20%
  28. 20%
  29. 47
  30. 180
  31. ₹1496
  32. 41
  33. 30%
  34. 25%
  35. ₹864
  36. 20%
  37. 30%
  38. 5
  39. 56
  40. 40%

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