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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 454 · 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 ₹180 and sells it for ₹144. What is his loss percent? (a) 36% (b) 15% (c) 25% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹728. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  3. 3.A bag marked ₹1440 is sold at a 10% discount. What is its selling price? (a) ₹1584 (b) ₹1296 (c) ₹1430 (d) ₹144
  4. 4.A shopkeeper buys a toy for ₹340 and sells it for ₹391. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 51%
  5. 5.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 40% (b) 41% (c) 45% (d) 35%
  6. 6.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 20%
  7. 7.A bag marked ₹1840 is sold at a 10% discount. What is its selling price? (a) ₹184 (b) ₹2024 (c) ₹1656 (d) ₹1830
  8. 8.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 5% (b) 6% (c) 40% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹620 and sells it for ₹527. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 93%
  10. 10.A bag marked ₹620 is sold at a 30% discount. What is its selling price? (a) ₹186 (b) ₹434 (c) ₹590 (d) ₹806
  11. 11.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  12. 12.What is 10% of 160? (a) 160 (b) 144 (c) 32 (d) 16
  13. 13.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 48% (b) 20% (c) 25% (d) 15%
  14. 14.What is 60% of 100? (a) 120 (b) 60 (c) 40 (d) 600
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 25% (b) 26% (c) 20% (d) 30%
  16. 16.A shopkeeper buys a toy for ₹320 and sells it for ₹480. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  17. 17.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 31% (b) 25% (c) 30% (d) 35%
  18. 18.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 5% (b) 16% (c) 6% (d) 10%
  19. 19.What is 25% of 500? (a) 375 (b) 125 (c) 250 (d) 1250
  20. 20.A shopkeeper buys a toy for ₹900 and sells it for ₹1080. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  21. 21.What is 25% of 720? (a) 540 (b) 1800 (c) 360 (d) 180
  22. 22.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%
  23. 23.A bag marked ₹740 is sold at a 15% discount. What is its selling price? (a) ₹851 (b) ₹725 (c) ₹629 (d) ₹111
  24. 24.What is 5% of 820? (a) 82 (b) 41 (c) 410 (d) 779
  25. 25.A shopkeeper buys a toy for ₹860 and sells it for ₹731. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 6% (b) 13% (c) 10% (d) 5%
  27. 27.A shopkeeper buys a toy for ₹980 and sells it for ₹882. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 98%
  28. 28.A shopkeeper buys a toy for ₹280 and sells it for ₹308. What is his profit percent? (a) 28% (b) 15% (c) 5% (d) 10%
  29. 29.What is 5% of 840? (a) 42 (b) 420 (c) 798 (d) 84
  30. 30.What is 60% of 120? (a) 72 (b) 144 (c) 720 (d) 48
  31. 31.A shopkeeper buys a toy for ₹460 and sells it for ₹690. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  32. 32.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 27%
  33. 33.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 25% (b) 31% (c) 35% (d) 30%
  34. 34.What is 60% of 360? (a) 432 (b) 2160 (c) 144 (d) 216
  35. 35.A bag marked ₹220 is sold at a 15% discount. What is its selling price? (a) ₹33 (b) ₹187 (c) ₹205 (d) ₹253
  36. 36.What is 75% of 100? (a) 750 (b) 150 (c) 25 (d) 75
  37. 37.What is 20% of 340? (a) 272 (b) 680 (c) 68 (d) 136
  38. 38.What is 50% of 560? (a) 2800 (b) 281 (c) 560 (d) 280
  39. 39.What is 15% of 640? (a) 192 (b) 544 (c) 960 (d) 96
  40. 40.What is 50% of 600? (a) 600 (b) 300 (c) 3000 (d) 301

Answer key

  1. 20%
  2. 40%
  3. ₹1296
  4. 15%
  5. 40%
  6. 5%
  7. ₹1656
  8. 5%
  9. 15%
  10. ₹434
  11. 20%
  12. 16
  13. 20%
  14. 60
  15. 25%
  16. 50%
  17. 30%
  18. 5%
  19. 125
  20. 20%
  21. 180
  22. 15%
  23. ₹629
  24. 41
  25. 15%
  26. 5%
  27. 10%
  28. 10%
  29. 42
  30. 72
  31. 50%
  32. 15%
  33. 30%
  34. 216
  35. ₹187
  36. 75
  37. 68
  38. 280
  39. 96
  40. 300

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