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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 491 · 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 ₹207. What is his profit percent? (a) 10% (b) 27% (c) 20% (d) 15%
  2. 2.A shopkeeper buys a toy for ₹160 and sells it for ₹240. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 80%
  3. 3.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%
  4. 4.What is 60% of 520? (a) 624 (b) 312 (c) 3120 (d) 208
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 75% (b) 20% (c) 30% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 10% (b) 68% (c) 15% (d) 5%
  7. 7.A shopkeeper buys a toy for ₹360 and sells it for ₹468. What is his profit percent? (a) 35% (b) 25% (c) 31% (d) 30%
  8. 8.What is 25% of 740? (a) 185 (b) 370 (c) 555 (d) 1850
  9. 9.A shopkeeper buys a toy for ₹980 and sells it for ₹686. What is his loss percent? (a) 31% (b) 35% (c) 30% (d) 25%
  10. 10.A bag marked ₹1860 is sold at a 15% discount. What is its selling price? (a) ₹279 (b) ₹2139 (c) ₹1581 (d) ₹1845
  11. 11.A bag marked ₹1980 is sold at a 20% discount. What is its selling price? (a) ₹2376 (b) ₹396 (c) ₹1960 (d) ₹1584
  12. 12.A shopkeeper buys a toy for ₹100 and sells it for ₹110. What is his profit percent? (a) 11% (b) 5% (c) 15% (d) 10%
  13. 13.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 21%
  14. 14.What is 5% of 520? (a) 494 (b) 260 (c) 26 (d) 52
  15. 15.A shopkeeper buys a toy for ₹740 and sells it for ₹555. What is his loss percent? (a) 25% (b) 26% (c) 30% (d) 20%
  16. 16.A shopkeeper buys a toy for ₹620 and sells it for ₹589. What is his loss percent? (a) 10% (b) 31% (c) 5% (d) 6%
  17. 17.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹288 (b) ₹310 (c) ₹32 (d) ₹352
  18. 18.A shopkeeper buys a toy for ₹1000 and sells it for ₹750. What is his loss percent? (a) 25% (b) 26% (c) 30% (d) 20%
  19. 19.A bag marked ₹1700 is sold at a 50% discount. What is its selling price? (a) ₹1650 (b) ₹2550 (c) ₹851 (d) ₹850
  20. 20.A bag marked ₹1180 is sold at a 15% discount. What is its selling price? (a) ₹177 (b) ₹1357 (c) ₹1003 (d) ₹1165
  21. 21.A bag marked ₹300 is sold at a 15% discount. What is its selling price? (a) ₹45 (b) ₹345 (c) ₹285 (d) ₹255
  22. 22.A shopkeeper buys a toy for ₹960 and sells it for ₹1008. What is his profit percent? (a) 48% (b) 10% (c) 6% (d) 5%
  23. 23.A bag marked ₹620 is sold at a 15% discount. What is its selling price? (a) ₹713 (b) ₹605 (c) ₹93 (d) ₹527
  24. 24.A shopkeeper buys a toy for ₹300 and sells it for ₹390. What is his profit percent? (a) 35% (b) 90% (c) 30% (d) 25%
  25. 25.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%
  26. 26.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 80% (b) 25% (c) 30% (d) 20%
  27. 27.A shopkeeper buys a toy for ₹180 and sells it for ₹270. What is his profit percent? (a) 55% (b) 90% (c) 50% (d) 45%
  28. 28.What is 20% of 220? (a) 176 (b) 88 (c) 44 (d) 440
  29. 29.A shopkeeper buys a toy for ₹680 and sells it for ₹476. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  30. 30.A shopkeeper buys a toy for ₹880 and sells it for ₹1012. What is his profit percent? (a) 10% (b) 15% (c) 16% (d) 20%
  31. 31.A shopkeeper buys a toy for ₹580 and sells it for ₹725. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  32. 32.A bag marked ₹700 is sold at a 15% discount. What is its selling price? (a) ₹595 (b) ₹805 (c) ₹105 (d) ₹685
  33. 33.A shopkeeper buys a toy for ₹920 and sells it for ₹690. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  34. 34.What is 10% of 540? (a) 54 (b) 540 (c) 108 (d) 486
  35. 35.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 15% (b) 10% (c) 16% (d) 20%
  36. 36.What is 50% of 60? (a) 31 (b) 30 (c) 300 (d) 60
  37. 37.What is 5% of 660? (a) 66 (b) 627 (c) 330 (d) 33
  38. 38.What is 10% of 200? (a) 200 (b) 180 (c) 40 (d) 20
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹252. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 72%
  40. 40.A bag marked ₹1500 is sold at a 25% discount. What is its selling price? (a) ₹1475 (b) ₹1875 (c) ₹1125 (d) ₹375

Answer key

  1. 15%
  2. 50%
  3. 30%
  4. 312
  5. 25%
  6. 10%
  7. 30%
  8. 185
  9. 30%
  10. ₹1581
  11. ₹1584
  12. 10%
  13. 15%
  14. 26
  15. 25%
  16. 5%
  17. ₹288
  18. 25%
  19. ₹850
  20. ₹1003
  21. ₹255
  22. 5%
  23. ₹527
  24. 30%
  25. 10%
  26. 25%
  27. 50%
  28. 44
  29. 30%
  30. 15%
  31. 25%
  32. ₹595
  33. 25%
  34. 54
  35. 15%
  36. 30
  37. 33
  38. 20
  39. 40%
  40. ₹1125

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