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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 765 · 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 ₹260 and sells it for ₹182. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 78%
  2. 2.A shopkeeper buys a toy for ₹120 and sells it for ₹132. What is his profit percent? (a) 15% (b) 5% (c) 12% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 27% (b) 20% (c) 10% (d) 15%
  4. 4.A bag marked ₹1520 is sold at a 25% discount. What is its selling price? (a) ₹1495 (b) ₹380 (c) ₹1140 (d) ₹1900
  5. 5.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 6% (b) 7% (c) 5% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  7. 7.A bag marked ₹1420 is sold at a 25% discount. What is its selling price? (a) ₹1775 (b) ₹1395 (c) ₹355 (d) ₹1065
  8. 8.A bag marked ₹1540 is sold at a 15% discount. What is its selling price? (a) ₹1525 (b) ₹1309 (c) ₹231 (d) ₹1771
  9. 9.A bag marked ₹280 is sold at a 15% discount. What is its selling price? (a) ₹265 (b) ₹42 (c) ₹322 (d) ₹238
  10. 10.What is 5% of 140? (a) 7 (b) 14 (c) 70 (d) 133
  11. 11.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 10% (b) 96% (c) 15% (d) 5%
  12. 12.What is 5% of 720? (a) 72 (b) 684 (c) 360 (d) 36
  13. 13.What is 40% of 940? (a) 564 (b) 752 (c) 3760 (d) 376
  14. 14.What is 30% of 160? (a) 96 (b) 112 (c) 48 (d) 480
  15. 15.What is 40% of 540? (a) 216 (b) 324 (c) 2160 (d) 432
  16. 16.A shopkeeper buys a toy for ₹120 and sells it for ₹168. What is his profit percent? (a) 35% (b) 48% (c) 40% (d) 45%
  17. 17.A bag marked ₹1200 is sold at a 40% discount. What is its selling price? (a) ₹480 (b) ₹1680 (c) ₹1160 (d) ₹720
  18. 18.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  19. 19.What is 25% of 660? (a) 1650 (b) 165 (c) 330 (d) 495
  20. 20.A shopkeeper buys a toy for ₹440 and sells it for ₹418. What is his loss percent? (a) 6% (b) 5% (c) 22% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  22. 22.A bag marked ₹400 is sold at a 10% discount. What is its selling price? (a) ₹440 (b) ₹40 (c) ₹360 (d) ₹390
  23. 23.A shopkeeper buys a toy for ₹840 and sells it for ₹1092. What is his profit percent? (a) 25% (b) 31% (c) 30% (d) 35%
  24. 24.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 9% (b) 10% (c) 5% (d) 6%
  25. 25.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  26. 26.A shopkeeper buys a toy for ₹940 and sells it for ₹1128. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 30% (b) 15% (c) 10% (d) 5%
  28. 28.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 6% (b) 22% (c) 5% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 4% (b) 5% (c) 10% (d) 6%
  30. 30.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 25% (b) 35% (c) 31% (d) 30%
  31. 31.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 90%
  32. 32.A bag marked ₹760 is sold at a 10% discount. What is its selling price? (a) ₹836 (b) ₹684 (c) ₹76 (d) ₹750
  33. 33.A bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹515 (b) ₹405 (c) ₹675 (d) ₹135
  34. 34.What is 75% of 140? (a) 35 (b) 210 (c) 105 (d) 1050
  35. 35.A shopkeeper buys a toy for ₹180 and sells it for ₹270. What is his profit percent? (a) 90% (b) 50% (c) 45% (d) 55%
  36. 36.A bag marked ₹420 is sold at a 10% discount. What is its selling price? (a) ₹462 (b) ₹378 (c) ₹42 (d) ₹410
  37. 37.A shopkeeper buys a toy for ₹620 and sells it for ₹558. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 62%
  38. 38.A shopkeeper buys a toy for ₹800 and sells it for ₹600. What is his loss percent? (a) 30% (b) 26% (c) 20% (d) 25%
  39. 39.A bag marked ₹1080 is sold at a 15% discount. What is its selling price? (a) ₹918 (b) ₹1065 (c) ₹1242 (d) ₹162
  40. 40.A shopkeeper buys a toy for ₹560 and sells it for ₹448. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%

Answer key

  1. 30%
  2. 10%
  3. 15%
  4. ₹1140
  5. 5%
  6. 40%
  7. ₹1065
  8. ₹1309
  9. ₹238
  10. 7
  11. 10%
  12. 36
  13. 376
  14. 48
  15. 216
  16. 40%
  17. ₹720
  18. 40%
  19. 165
  20. 5%
  21. 25%
  22. ₹360
  23. 30%
  24. 5%
  25. 25%
  26. 20%
  27. 10%
  28. 5%
  29. 5%
  30. 30%
  31. 30%
  32. ₹684
  33. ₹405
  34. 105
  35. 50%
  36. ₹378
  37. 10%
  38. 25%
  39. ₹918
  40. 20%

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