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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 101 · 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 ₹780 and sells it for ₹741. What is his loss percent? (a) 10% (b) 39% (c) 6% (d) 5%
  2. 2.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 35% (b) 36% (c) 25% (d) 30%
  3. 3.A bag marked ₹1900 is sold at a 20% discount. What is its selling price? (a) ₹380 (b) ₹2280 (c) ₹1520 (d) ₹1880
  4. 4.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹705 (b) ₹612 (c) ₹108 (d) ₹828
  5. 5.A bag marked ₹500 is sold at a 15% discount. What is its selling price? (a) ₹425 (b) ₹75 (c) ₹575 (d) ₹485
  6. 6.A shopkeeper buys a toy for ₹380 and sells it for ₹418. What is his profit percent? (a) 38% (b) 10% (c) 5% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  8. 8.What is 75% of 240? (a) 360 (b) 180 (c) 1800 (d) 60
  9. 9.What is 30% of 620? (a) 372 (b) 1860 (c) 434 (d) 186
  10. 10.A bag marked ₹600 is sold at a 20% discount. What is its selling price? (a) ₹720 (b) ₹580 (c) ₹480 (d) ₹120
  11. 11.A shopkeeper buys a toy for ₹500 and sells it for ₹575. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 75%
  12. 12.What is 75% of 260? (a) 390 (b) 1950 (c) 65 (d) 195
  13. 13.A shopkeeper buys a toy for ₹680 and sells it for ₹782. What is his profit percent? (a) 10% (b) 16% (c) 20% (d) 15%
  14. 14.What is 75% of 340? (a) 255 (b) 510 (c) 85 (d) 2550
  15. 15.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 20% (b) 15% (c) 27% (d) 10%
  16. 16.A shopkeeper buys a toy for ₹760 and sells it for ₹456. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  17. 17.A shopkeeper buys a toy for ₹520 and sells it for ₹728. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  18. 18.A bag marked ₹1800 is sold at a 10% discount. What is its selling price? (a) ₹1980 (b) ₹1620 (c) ₹1790 (d) ₹180
  19. 19.A shopkeeper buys a toy for ₹680 and sells it for ₹884. What is his profit percent? (a) 25% (b) 31% (c) 30% (d) 35%
  20. 20.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  21. 21.What is 5% of 960? (a) 96 (b) 48 (c) 480 (d) 912
  22. 22.What is 50% of 560? (a) 2800 (b) 280 (c) 560 (d) 281
  23. 23.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 25% (b) 30% (c) 26% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹420 and sells it for ₹252. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  25. 25.What is 50% of 620? (a) 620 (b) 3100 (c) 310 (d) 311
  26. 26.What is 30% of 420? (a) 126 (b) 294 (c) 252 (d) 1260
  27. 27.A bag marked ₹740 is sold at a 25% discount. What is its selling price? (a) ₹925 (b) ₹555 (c) ₹715 (d) ₹185
  28. 28.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 40% (b) 45% (c) 41% (d) 35%
  29. 29.What is 15% of 360? (a) 306 (b) 540 (c) 108 (d) 54
  30. 30.What is 50% of 180? (a) 180 (b) 90 (c) 91 (d) 900
  31. 31.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 5% (b) 10% (c) 45% (d) 6%
  32. 32.A shopkeeper buys a toy for ₹940 and sells it for ₹987. What is his profit percent? (a) 47% (b) 10% (c) 6% (d) 5%
  33. 33.A bag marked ₹1560 is sold at a 30% discount. What is its selling price? (a) ₹468 (b) ₹1530 (c) ₹2028 (d) ₹1092
  34. 34.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 25% (b) 30% (c) 35% (d) 31%
  35. 35.A bag marked ₹520 is sold at a 30% discount. What is its selling price? (a) ₹676 (b) ₹364 (c) ₹490 (d) ₹156
  36. 36.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 58%
  37. 37.What is 15% of 460? (a) 69 (b) 138 (c) 690 (d) 391
  38. 38.A shopkeeper buys a toy for ₹440 and sells it for ₹484. What is his profit percent? (a) 44% (b) 15% (c) 5% (d) 10%
  39. 39.A shopkeeper buys a toy for ₹860 and sells it for ₹774. What is his loss percent? (a) 10% (b) 5% (c) 86% (d) 15%
  40. 40.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%

Answer key

  1. 5%
  2. 30%
  3. ₹1520
  4. ₹612
  5. ₹425
  6. 10%
  7. 50%
  8. 180
  9. 186
  10. ₹480
  11. 15%
  12. 195
  13. 15%
  14. 255
  15. 15%
  16. 40%
  17. 40%
  18. ₹1620
  19. 30%
  20. 30%
  21. 48
  22. 280
  23. 25%
  24. 40%
  25. 310
  26. 126
  27. ₹555
  28. 40%
  29. 54
  30. 90
  31. 5%
  32. 5%
  33. ₹1092
  34. 30%
  35. ₹364
  36. 10%
  37. 69
  38. 10%
  39. 10%
  40. 20%

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