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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 626 · 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 ₹940 and sells it for ₹893. What is his loss percent? (a) 47% (b) 10% (c) 6% (d) 5%
  2. 2.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 60% (b) 55% (c) 45% (d) 50%
  3. 3.What is 60% of 560? (a) 224 (b) 336 (c) 672 (d) 3360
  4. 4.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 10% (b) 81% (c) 20% (d) 15%
  5. 5.What is 30% of 900? (a) 270 (b) 2700 (c) 630 (d) 540
  6. 6.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹108 (b) ₹705 (c) ₹612 (d) ₹828
  7. 7.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 28%
  8. 8.What is 5% of 760? (a) 380 (b) 722 (c) 76 (d) 38
  9. 9.A shopkeeper buys a toy for ₹560 and sells it for ₹840. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  10. 10.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%
  11. 11.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  12. 12.A bag marked ₹1140 is sold at a 50% discount. What is its selling price? (a) ₹1090 (b) ₹571 (c) ₹570 (d) ₹1710
  13. 13.What is 10% of 220? (a) 22 (b) 220 (c) 44 (d) 198
  14. 14.A bag marked ₹1020 is sold at a 30% discount. What is its selling price? (a) ₹990 (b) ₹1326 (c) ₹714 (d) ₹306
  15. 15.What is 75% of 120? (a) 900 (b) 90 (c) 30 (d) 180
  16. 16.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 80% (b) 20% (c) 30% (d) 25%
  17. 17.A shopkeeper buys a toy for ₹860 and sells it for ₹688. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  18. 18.What is 30% of 300? (a) 900 (b) 180 (c) 210 (d) 90
  19. 19.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 72%
  20. 20.A bag marked ₹480 is sold at a 20% discount. What is its selling price? (a) ₹96 (b) ₹384 (c) ₹460 (d) ₹576
  21. 21.What is 15% of 800? (a) 120 (b) 1200 (c) 240 (d) 680
  22. 22.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 5% (b) 38% (c) 10% (d) 6%
  23. 23.What is 30% of 660? (a) 396 (b) 462 (c) 198 (d) 1980
  24. 24.What is 60% of 820? (a) 984 (b) 328 (c) 4920 (d) 492
  25. 25.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹1064 (b) ₹1490 (c) ₹1976 (d) ₹456
  26. 26.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 32% (b) 10% (c) 6% (d) 5%
  27. 27.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 30% (b) 45% (c) 20% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹800 and sells it for ₹680. What is his loss percent? (a) 10% (b) 20% (c) 16% (d) 15%
  29. 29.A bag marked ₹1260 is sold at a 50% discount. What is its selling price? (a) ₹1890 (b) ₹631 (c) ₹630 (d) ₹1210
  30. 30.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 25% (b) 20% (c) 84% (d) 15%
  31. 31.What is 15% of 400? (a) 120 (b) 600 (c) 340 (d) 60
  32. 32.A bag marked ₹1500 is sold at a 20% discount. What is its selling price? (a) ₹300 (b) ₹1480 (c) ₹1800 (d) ₹1200
  33. 33.What is 40% of 660? (a) 528 (b) 264 (c) 2640 (d) 396
  34. 34.What is 20% of 960? (a) 384 (b) 192 (c) 1920 (d) 768
  35. 35.What is 5% of 920? (a) 460 (b) 46 (c) 92 (d) 874
  36. 36.What is 5% of 660? (a) 33 (b) 66 (c) 627 (d) 330
  37. 37.What is 50% of 1000? (a) 500 (b) 1000 (c) 5000 (d) 501
  38. 38.What is 40% of 860? (a) 516 (b) 344 (c) 688 (d) 3440
  39. 39.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 20% (b) 25% (c) 96% (d) 15%
  40. 40.What is 40% of 640? (a) 512 (b) 2560 (c) 256 (d) 384

Answer key

  1. 5%
  2. 50%
  3. 336
  4. 15%
  5. 270
  6. ₹612
  7. 10%
  8. 38
  9. 50%
  10. 20%
  11. 25%
  12. ₹570
  13. 22
  14. ₹714
  15. 90
  16. 25%
  17. 20%
  18. 90
  19. 40%
  20. ₹384
  21. 120
  22. 5%
  23. 198
  24. 492
  25. ₹1064
  26. 5%
  27. 25%
  28. 15%
  29. ₹630
  30. 20%
  31. 60
  32. ₹1200
  33. 264
  34. 192
  35. 46
  36. 33
  37. 500
  38. 344
  39. 20%
  40. 256

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