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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 506 · 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.

NameDateTime takenScore ___ / 40
  1. 1.What is 10% of 380? (a) 38 (b) 380 (c) 342 (d) 76
  2. 2.A bag marked ₹1960 is sold at a 10% discount. What is its selling price? (a) ₹2156 (b) ₹1950 (c) ₹196 (d) ₹1764
  3. 3.A shopkeeper buys a toy for ₹580 and sells it for ₹551. What is his loss percent? (a) 5% (b) 6% (c) 29% (d) 10%
  4. 4.A bag marked ₹540 is sold at a 40% discount. What is its selling price? (a) ₹216 (b) ₹756 (c) ₹500 (d) ₹324
  5. 5.A shopkeeper buys a toy for ₹640 and sells it for ₹576. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 64%
  6. 6.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  7. 7.A shopkeeper buys a toy for ₹540 and sells it for ₹810. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  8. 8.A bag marked ₹420 is sold at a 50% discount. What is its selling price? (a) ₹630 (b) ₹370 (c) ₹211 (d) ₹210
  9. 9.A shopkeeper buys a toy for ₹380 and sells it for ₹228. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  10. 10.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 81%
  11. 11.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 25% (b) 30% (c) 20% (d) 26%
  12. 12.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 30% (b) 25% (c) 85% (d) 20%
  13. 13.A shopkeeper buys a toy for ₹900 and sells it for ₹1170. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹378. What is his loss percent? (a) 42% (b) 5% (c) 15% (d) 10%
  15. 15.A shopkeeper buys a toy for ₹220 and sells it for ₹286. What is his profit percent? (a) 66% (b) 25% (c) 30% (d) 35%
  16. 16.What is 40% of 260? (a) 156 (b) 1040 (c) 208 (d) 104
  17. 17.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  18. 18.A bag marked ₹420 is sold at a 20% discount. What is its selling price? (a) ₹400 (b) ₹504 (c) ₹84 (d) ₹336
  19. 19.A bag marked ₹1660 is sold at a 15% discount. What is its selling price? (a) ₹1909 (b) ₹249 (c) ₹1645 (d) ₹1411
  20. 20.A bag marked ₹600 is sold at a 30% discount. What is its selling price? (a) ₹780 (b) ₹570 (c) ₹180 (d) ₹420
  21. 21.A bag marked ₹540 is sold at a 20% discount. What is its selling price? (a) ₹648 (b) ₹108 (c) ₹432 (d) ₹520
  22. 22.What is 50% of 960? (a) 960 (b) 4800 (c) 481 (d) 480
  23. 23.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 36%
  24. 24.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 35% (b) 45% (c) 64% (d) 40%
  25. 25.What is 15% of 100? (a) 150 (b) 85 (c) 30 (d) 15
  26. 26.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 5%
  27. 27.A shopkeeper buys a toy for ₹920 and sells it for ₹1104. What is his profit percent? (a) 25% (b) 20% (c) 15% (d) 21%
  28. 28.A shopkeeper buys a toy for ₹560 and sells it for ₹420. What is his loss percent? (a) 25% (b) 30% (c) 26% (d) 20%
  29. 29.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 31% (b) 35% (c) 25% (d) 30%
  30. 30.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 18%
  31. 31.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 20% (b) 30% (c) 70% (d) 25%
  32. 32.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 5% (b) 80% (c) 15% (d) 10%
  33. 33.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 15% (b) 20% (c) 10% (d) 16%
  34. 34.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 30% (b) 36% (c) 35% (d) 25%
  35. 35.A shopkeeper buys a toy for ₹940 and sells it for ₹1081. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 20%
  36. 36.A shopkeeper buys a toy for ₹360 and sells it for ₹540. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  37. 37.A bag marked ₹240 is sold at a 15% discount. What is its selling price? (a) ₹225 (b) ₹276 (c) ₹204 (d) ₹36
  38. 38.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹225. What is his profit percent? (a) 25% (b) 45% (c) 30% (d) 20%
  40. 40.A bag marked ₹1920 is sold at a 20% discount. What is its selling price? (a) ₹2304 (b) ₹384 (c) ₹1536 (d) ₹1900

Answer key

  1. 38
  2. ₹1764
  3. 5%
  4. ₹324
  5. 10%
  6. 30%
  7. 50%
  8. ₹210
  9. 40%
  10. 15%
  11. 25%
  12. 25%
  13. 30%
  14. 10%
  15. 30%
  16. 104
  17. 25%
  18. ₹336
  19. ₹1411
  20. ₹420
  21. ₹432
  22. 480
  23. 15%
  24. 40%
  25. 15
  26. 10%
  27. 20%
  28. 25%
  29. 30%
  30. 15%
  31. 25%
  32. 10%
  33. 15%
  34. 30%
  35. 15%
  36. 50%
  37. ₹204
  38. 50%
  39. 25%
  40. ₹1536

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