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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 256 · 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 ₹300 and sells it for ₹360. What is his profit percent? (a) 60% (b) 25% (c) 20% (d) 15%
  2. 2.What is 5% of 420? (a) 42 (b) 399 (c) 21 (d) 210
  3. 3.What is 25% of 100? (a) 75 (b) 25 (c) 50 (d) 250
  4. 4.A bag marked ₹500 is sold at a 40% discount. What is its selling price? (a) ₹300 (b) ₹460 (c) ₹200 (d) ₹700
  5. 5.What is 5% of 840? (a) 42 (b) 84 (c) 420 (d) 798
  6. 6.A shopkeeper buys a toy for ₹840 and sells it for ₹1008. What is his profit percent? (a) 25% (b) 21% (c) 15% (d) 20%
  7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹180. What is his loss percent? (a) 30% (b) 60% (c) 20% (d) 25%
  8. 8.What is 40% of 660? (a) 264 (b) 396 (c) 528 (d) 2640
  9. 9.A bag marked ₹1580 is sold at a 40% discount. What is its selling price? (a) ₹1540 (b) ₹2212 (c) ₹948 (d) ₹632
  10. 10.A shopkeeper buys a toy for ₹700 and sells it for ₹840. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  11. 11.What is 40% of 120? (a) 480 (b) 72 (c) 48 (d) 96
  12. 12.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 15% (b) 6% (c) 10% (d) 5%
  13. 13.What is 10% of 60? (a) 60 (b) 6 (c) 54 (d) 12
  14. 14.A shopkeeper buys a toy for ₹780 and sells it for ₹468. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  15. 15.A bag marked ₹1160 is sold at a 10% discount. What is its selling price? (a) ₹1044 (b) ₹1150 (c) ₹1276 (d) ₹116
  16. 16.A shopkeeper buys a toy for ₹300 and sells it for ₹240. What is his loss percent? (a) 15% (b) 25% (c) 60% (d) 20%
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹60. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  18. 18.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 21%
  19. 19.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  20. 20.A bag marked ₹880 is sold at a 30% discount. What is its selling price? (a) ₹1144 (b) ₹616 (c) ₹264 (d) ₹850
  21. 21.What is 30% of 880? (a) 264 (b) 616 (c) 528 (d) 2640
  22. 22.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
  23. 23.What is 50% of 280? (a) 141 (b) 140 (c) 1400 (d) 280
  24. 24.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  25. 25.What is 5% of 780? (a) 390 (b) 39 (c) 78 (d) 741
  26. 26.A bag marked ₹1800 is sold at a 50% discount. What is its selling price? (a) ₹900 (b) ₹1750 (c) ₹901 (d) ₹2700
  27. 27.What is 15% of 700? (a) 1050 (b) 595 (c) 210 (d) 105
  28. 28.What is 10% of 960? (a) 960 (b) 192 (c) 864 (d) 96
  29. 29.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 45% (b) 41% (c) 35% (d) 40%
  30. 30.A bag marked ₹1900 is sold at a 15% discount. What is its selling price? (a) ₹285 (b) ₹1885 (c) ₹1615 (d) ₹2185
  31. 31.What is 30% of 820? (a) 574 (b) 492 (c) 246 (d) 2460
  32. 32.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 26%
  33. 33.A shopkeeper buys a toy for ₹680 and sells it for ₹408. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  34. 34.What is 25% of 260? (a) 195 (b) 130 (c) 65 (d) 650
  35. 35.A bag marked ₹1300 is sold at a 20% discount. What is its selling price? (a) ₹1280 (b) ₹1040 (c) ₹260 (d) ₹1560
  36. 36.A shopkeeper buys a toy for ₹420 and sells it for ₹441. What is his profit percent? (a) 21% (b) 10% (c) 6% (d) 5%
  37. 37.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 94%
  38. 38.What is 50% of 940? (a) 470 (b) 4700 (c) 471 (d) 940
  39. 39.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 40% (b) 25% (c) 15% (d) 20%
  40. 40.What is 25% of 240? (a) 120 (b) 60 (c) 600 (d) 180

Answer key

  1. 20%
  2. 21
  3. 25
  4. ₹300
  5. 42
  6. 20%
  7. 25%
  8. 264
  9. ₹948
  10. 20%
  11. 48
  12. 5%
  13. 6
  14. 40%
  15. ₹1044
  16. 20%
  17. 40%
  18. 20%
  19. 40%
  20. ₹616
  21. 264
  22. 40%
  23. 140
  24. 30%
  25. 39
  26. ₹900
  27. 105
  28. 96
  29. 40%
  30. ₹1615
  31. 246
  32. 25%
  33. 40%
  34. 65
  35. ₹1040
  36. 5%
  37. 10%
  38. 470
  39. 20%
  40. 60

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