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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 786 · 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 bag marked ₹1640 is sold at a 15% discount. What is its selling price? (a) ₹1394 (b) ₹1625 (c) ₹246 (d) ₹1886
  2. 2.A bag marked ₹1920 is sold at a 25% discount. What is its selling price? (a) ₹1895 (b) ₹1440 (c) ₹480 (d) ₹2400
  3. 3.A shopkeeper buys a toy for ₹660 and sells it for ₹858. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 31%
  4. 4.A shopkeeper buys a toy for ₹380 and sells it for ₹437. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 57%
  5. 5.A bag marked ₹1140 is sold at a 15% discount. What is its selling price? (a) ₹1125 (b) ₹1311 (c) ₹969 (d) ₹171
  6. 6.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 5% (b) 10% (c) 8% (d) 6%
  7. 7.A bag marked ₹1000 is sold at a 50% discount. What is its selling price? (a) ₹501 (b) ₹1500 (c) ₹950 (d) ₹500
  8. 8.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 20% (b) 75% (c) 25% (d) 30%
  9. 9.What is 25% of 640? (a) 480 (b) 160 (c) 320 (d) 1600
  10. 10.A shopkeeper buys a toy for ₹340 and sells it for ₹289. What is his loss percent? (a) 20% (b) 15% (c) 51% (d) 10%
  11. 11.A bag marked ₹1100 is sold at a 50% discount. What is its selling price? (a) ₹550 (b) ₹551 (c) ₹1650 (d) ₹1050
  12. 12.A shopkeeper buys a toy for ₹220 and sells it for ₹187. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 33%
  13. 13.A bag marked ₹1260 is sold at a 50% discount. What is its selling price? (a) ₹1210 (b) ₹1890 (c) ₹630 (d) ₹631
  14. 14.A bag marked ₹260 is sold at a 50% discount. What is its selling price? (a) ₹210 (b) ₹390 (c) ₹131 (d) ₹130
  15. 15.What is 75% of 840? (a) 6300 (b) 1260 (c) 630 (d) 210
  16. 16.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 20% (b) 33% (c) 15% (d) 10%
  17. 17.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  18. 18.A bag marked ₹400 is sold at a 20% discount. What is its selling price? (a) ₹320 (b) ₹380 (c) ₹480 (d) ₹80
  19. 19.A shopkeeper buys a toy for ₹880 and sells it for ₹1320. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  20. 20.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 25% (b) 35% (c) 84% (d) 30%
  21. 21.A bag marked ₹520 is sold at a 40% discount. What is its selling price? (a) ₹728 (b) ₹480 (c) ₹312 (d) ₹208
  22. 22.A shopkeeper buys a toy for ₹300 and sells it for ₹420. What is his profit percent? (a) 45% (b) 40% (c) 41% (d) 35%
  23. 23.A shopkeeper buys a toy for ₹660 and sells it for ₹627. What is his loss percent? (a) 33% (b) 6% (c) 10% (d) 5%
  24. 24.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  25. 25.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  26. 26.A bag marked ₹480 is sold at a 30% discount. What is its selling price? (a) ₹450 (b) ₹144 (c) ₹624 (d) ₹336
  27. 27.What is 40% of 340? (a) 204 (b) 1360 (c) 136 (d) 272
  28. 28.A shopkeeper buys a toy for ₹360 and sells it for ₹450. What is his profit percent? (a) 90% (b) 25% (c) 20% (d) 30%
  29. 29.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 88% (b) 15% (c) 10% (d) 5%
  30. 30.What is 50% of 120? (a) 60 (b) 600 (c) 120 (d) 61
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹702. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  32. 32.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 90% (b) 10% (c) 20% (d) 15%
  33. 33.A bag marked ₹1280 is sold at a 25% discount. What is its selling price? (a) ₹320 (b) ₹1255 (c) ₹1600 (d) ₹960
  34. 34.A bag marked ₹1060 is sold at a 15% discount. What is its selling price? (a) ₹159 (b) ₹901 (c) ₹1219 (d) ₹1045
  35. 35.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  36. 36.A shopkeeper buys a toy for ₹980 and sells it for ₹686. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  37. 37.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 6% (b) 46% (c) 10% (d) 5%
  38. 38.A shopkeeper buys a toy for ₹660 and sells it for ₹528. What is his loss percent? (a) 21% (b) 15% (c) 25% (d) 20%
  39. 39.What is 20% of 440? (a) 352 (b) 880 (c) 88 (d) 176
  40. 40.A bag marked ₹1260 is sold at a 25% discount. What is its selling price? (a) ₹945 (b) ₹1575 (c) ₹315 (d) ₹1235

Answer key

  1. ₹1394
  2. ₹1440
  3. 30%
  4. 15%
  5. ₹969
  6. 5%
  7. ₹500
  8. 25%
  9. 160
  10. 15%
  11. ₹550
  12. 15%
  13. ₹630
  14. ₹130
  15. 630
  16. 15%
  17. 40%
  18. ₹320
  19. 50%
  20. 30%
  21. ₹312
  22. 40%
  23. 5%
  24. 50%
  25. 30%
  26. ₹336
  27. 136
  28. 25%
  29. 10%
  30. 60
  31. 30%
  32. 15%
  33. ₹960
  34. ₹901
  35. 50%
  36. 30%
  37. 5%
  38. 20%
  39. 88
  40. ₹945

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