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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 730 · 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.

NameDateTime takenScore ___ / 40
  1. 1.A bag marked ₹280 is sold at a 20% discount. What is its selling price? (a) ₹336 (b) ₹224 (c) ₹56 (d) ₹260
  2. 2.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 43% (b) 5% (c) 6% (d) 10%
  3. 3.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 16% (b) 10% (c) 5% (d) 6%
  4. 4.What is 25% of 140? (a) 105 (b) 35 (c) 70 (d) 350
  5. 5.A shopkeeper buys a toy for ₹460 and sells it for ₹414. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 46%
  6. 6.A shopkeeper buys a toy for ₹840 and sells it for ₹630. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  7. 7.A shopkeeper buys a toy for ₹160 and sells it for ₹200. What is his profit percent? (a) 40% (b) 30% (c) 25% (d) 20%
  8. 8.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 25% (b) 30% (c) 20% (d) 35%
  9. 9.A bag marked ₹1920 is sold at a 40% discount. What is its selling price? (a) ₹1152 (b) ₹2688 (c) ₹768 (d) ₹1880
  10. 10.A shopkeeper buys a toy for ₹520 and sells it for ₹364. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  11. 11.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 25% (b) 26% (c) 20% (d) 30%
  12. 12.A shopkeeper buys a toy for ₹820 and sells it for ₹492. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  13. 13.What is 20% of 400? (a) 800 (b) 160 (c) 320 (d) 80
  14. 14.A shopkeeper buys a toy for ₹680 and sells it for ₹476. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  15. 15.A shopkeeper buys a toy for ₹580 and sells it for ₹667. What is his profit percent? (a) 87% (b) 20% (c) 15% (d) 10%
  16. 16.A shopkeeper buys a toy for ₹140 and sells it for ₹210. What is his profit percent? (a) 70% (b) 55% (c) 50% (d) 45%
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹70. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
  18. 18.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%
  19. 19.What is 75% of 820? (a) 615 (b) 205 (c) 1230 (d) 6150
  20. 20.What is 75% of 40? (a) 300 (b) 60 (c) 10 (d) 30
  21. 21.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  22. 22.A bag marked ₹600 is sold at a 40% discount. What is its selling price? (a) ₹560 (b) ₹840 (c) ₹240 (d) ₹360
  23. 23.A shopkeeper buys a toy for ₹900 and sells it for ₹675. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  24. 24.A shopkeeper buys a toy for ₹420 and sells it for ₹336. What is his loss percent? (a) 15% (b) 20% (c) 84% (d) 25%
  25. 25.What is 75% of 660? (a) 4950 (b) 165 (c) 990 (d) 495
  26. 26.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  27. 27.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 48%
  28. 28.A shopkeeper buys a toy for ₹700 and sells it for ₹875. What is his profit percent? (a) 30% (b) 25% (c) 26% (d) 20%
  29. 29.A bag marked ₹1740 is sold at a 50% discount. What is its selling price? (a) ₹2610 (b) ₹870 (c) ₹871 (d) ₹1690
  30. 30.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 54% (b) 10% (c) 15% (d) 5%
  32. 32.A shopkeeper buys a toy for ₹440 and sells it for ₹352. What is his loss percent? (a) 15% (b) 25% (c) 88% (d) 20%
  33. 33.A bag marked ₹600 is sold at a 10% discount. What is its selling price? (a) ₹60 (b) ₹590 (c) ₹660 (d) ₹540
  34. 34.A shopkeeper buys a toy for ₹500 and sells it for ₹475. What is his loss percent? (a) 25% (b) 6% (c) 10% (d) 5%
  35. 35.A shopkeeper buys a toy for ₹440 and sells it for ₹264. What is his loss percent? (a) 41% (b) 35% (c) 45% (d) 40%
  36. 36.A bag marked ₹1580 is sold at a 30% discount. What is its selling price? (a) ₹2054 (b) ₹1106 (c) ₹1550 (d) ₹474
  37. 37.A bag marked ₹740 is sold at a 10% discount. What is its selling price? (a) ₹730 (b) ₹666 (c) ₹814 (d) ₹74
  38. 38.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 5% (b) 32% (c) 10% (d) 6%
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 9% (b) 5% (c) 10% (d) 6%
  40. 40.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹456 (b) ₹1976 (c) ₹1064 (d) ₹1490

Answer key

  1. ₹224
  2. 5%
  3. 5%
  4. 35
  5. 10%
  6. 25%
  7. 25%
  8. 25%
  9. ₹1152
  10. 30%
  11. 25%
  12. 40%
  13. 80
  14. 30%
  15. 15%
  16. 50%
  17. 30%
  18. 15%
  19. 615
  20. 30
  21. 40%
  22. ₹360
  23. 25%
  24. 20%
  25. 495
  26. 30%
  27. 20%
  28. 25%
  29. ₹870
  30. 25%
  31. 10%
  32. 20%
  33. ₹540
  34. 5%
  35. 40%
  36. ₹1106
  37. ₹666
  38. 5%
  39. 5%
  40. ₹1064

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