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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 479 · 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 ₹380 and sells it for ₹323. What is his loss percent? (a) 20% (b) 57% (c) 10% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹680 and sells it for ₹578. What is his loss percent? (a) 16% (b) 20% (c) 15% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 16%
  4. 4.A bag marked ₹660 is sold at a 25% discount. What is its selling price? (a) ₹165 (b) ₹495 (c) ₹635 (d) ₹825
  5. 5.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 78%
  6. 6.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 40% (b) 41% (c) 35% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹360 and sells it for ₹504. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
  8. 8.What is 25% of 440? (a) 110 (b) 220 (c) 330 (d) 1100
  9. 9.A shopkeeper buys a toy for ₹540 and sells it for ₹621. What is his profit percent? (a) 81% (b) 20% (c) 10% (d) 15%
  10. 10.A shopkeeper buys a toy for ₹920 and sells it for ₹690. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
  11. 11.A bag marked ₹1720 is sold at a 20% discount. What is its selling price? (a) ₹344 (b) ₹2064 (c) ₹1376 (d) ₹1700
  12. 12.What is 75% of 480? (a) 120 (b) 720 (c) 3600 (d) 360
  13. 13.What is 30% of 440? (a) 308 (b) 1320 (c) 264 (d) 132
  14. 14.A shopkeeper buys a toy for ₹600 and sells it for ₹840. What is his profit percent? (a) 45% (b) 41% (c) 35% (d) 40%
  15. 15.A shopkeeper buys a toy for ₹680 and sells it for ₹850. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  16. 16.A bag marked ₹820 is sold at a 10% discount. What is its selling price? (a) ₹902 (b) ₹738 (c) ₹810 (d) ₹82
  17. 17.A shopkeeper buys a toy for ₹820 and sells it for ₹1148. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
  18. 18.A shopkeeper buys a toy for ₹600 and sells it for ₹540. What is his loss percent? (a) 5% (b) 10% (c) 60% (d) 15%
  19. 19.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 54% (b) 35% (c) 30% (d) 25%
  20. 20.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹485 (b) ₹75 (c) ₹425 (d) ₹575
  21. 21.A shopkeeper buys a toy for ₹100 and sells it for ₹105. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 4%
  22. 22.What is 75% of 660? (a) 4950 (b) 165 (c) 495 (d) 990
  23. 23.A shopkeeper buys a toy for ₹500 and sells it for ₹650. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  24. 24.A shopkeeper buys a toy for ₹340 and sells it for ₹374. What is his profit percent? (a) 15% (b) 34% (c) 5% (d) 10%
  25. 25.What is 5% of 700? (a) 35 (b) 665 (c) 350 (d) 70
  26. 26.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  27. 27.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 16%
  28. 28.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 15% (b) 10% (c) 21% (d) 20%
  29. 29.What is 40% of 680? (a) 544 (b) 2720 (c) 272 (d) 408
  30. 30.A shopkeeper buys a toy for ₹720 and sells it for ₹828. What is his profit percent? (a) 16% (b) 10% (c) 20% (d) 15%
  31. 31.A shopkeeper buys a toy for ₹620 and sells it for ₹465. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  32. 32.A shopkeeper buys a toy for ₹680 and sells it for ₹544. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  33. 33.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  34. 34.What is 15% of 660? (a) 990 (b) 561 (c) 99 (d) 198
  35. 35.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 6% (b) 26% (c) 5% (d) 10%
  36. 36.What is 20% of 940? (a) 752 (b) 188 (c) 376 (d) 1880
  37. 37.What is 75% of 640? (a) 480 (b) 960 (c) 4800 (d) 160
  38. 38.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 25% (b) 70% (c) 20% (d) 30%
  39. 39.A shopkeeper buys a toy for ₹200 and sells it for ₹280. What is his profit percent? (a) 45% (b) 40% (c) 80% (d) 35%
  40. 40.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 20% (c) 30% (d) 25%

Answer key

  1. 15%
  2. 15%
  3. 15%
  4. ₹495
  5. 10%
  6. 40%
  7. 40%
  8. 110
  9. 15%
  10. 25%
  11. ₹1376
  12. 360
  13. 132
  14. 40%
  15. 25%
  16. ₹738
  17. 40%
  18. 10%
  19. 30%
  20. ₹425
  21. 5%
  22. 495
  23. 30%
  24. 10%
  25. 35
  26. 30%
  27. 15%
  28. 15%
  29. 272
  30. 15%
  31. 25%
  32. 20%
  33. 30%
  34. 99
  35. 5%
  36. 188
  37. 480
  38. 25%
  39. 40%
  40. 25%

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