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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 142 · 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 ₹1000 and sells it for ₹1100. What is his profit percent? (a) 10% (b) 11% (c) 15% (d) 5%
  2. 2.A shopkeeper buys a toy for ₹680 and sells it for ₹884. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  3. 3.What is 40% of 480? (a) 384 (b) 288 (c) 1920 (d) 192
  4. 4.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 35% (b) 60% (c) 30% (d) 25%
  5. 5.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 30% (c) 25% (d) 20%
  6. 6.A bag marked ₹460 is sold at a 10% discount. What is its selling price? (a) ₹506 (b) ₹414 (c) ₹46 (d) ₹450
  7. 7.What is 15% of 80? (a) 12 (b) 24 (c) 68 (d) 120
  8. 8.A bag marked ₹1680 is sold at a 40% discount. What is its selling price? (a) ₹1008 (b) ₹1640 (c) ₹672 (d) ₹2352
  9. 9.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 72%
  10. 10.A shopkeeper buys a toy for ₹760 and sells it for ₹1064. What is his profit percent? (a) 40% (b) 41% (c) 45% (d) 35%
  11. 11.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 10% (b) 5% (c) 50% (d) 15%
  12. 12.What is 5% of 980? (a) 49 (b) 931 (c) 490 (d) 98
  13. 13.A bag marked ₹1260 is sold at a 20% discount. What is its selling price? (a) ₹1512 (b) ₹252 (c) ₹1240 (d) ₹1008
  14. 14.What is 5% of 100? (a) 10 (b) 5 (c) 95 (d) 50
  15. 15.What is 30% of 900? (a) 630 (b) 2700 (c) 540 (d) 270
  16. 16.A bag marked ₹2000 is sold at a 40% discount. What is its selling price? (a) ₹2800 (b) ₹1960 (c) ₹1200 (d) ₹800
  17. 17.A bag marked ₹540 is sold at a 30% discount. What is its selling price? (a) ₹702 (b) ₹510 (c) ₹162 (d) ₹378
  18. 18.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 5% (b) 15% (c) 88% (d) 10%
  19. 19.What is 50% of 920? (a) 920 (b) 461 (c) 460 (d) 4600
  20. 20.What is 60% of 660? (a) 3960 (b) 264 (c) 792 (d) 396
  21. 21.What is 50% of 140? (a) 71 (b) 700 (c) 140 (d) 70
  22. 22.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 45% (b) 10% (c) 6% (d) 5%
  23. 23.A shopkeeper buys a toy for ₹940 and sells it for ₹987. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 47%
  24. 24.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  25. 25.A shopkeeper buys a toy for ₹760 and sells it for ₹1140. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  26. 26.A shopkeeper buys a toy for ₹220 and sells it for ₹330. What is his profit percent? (a) 55% (b) 45% (c) 50% (d) 51%
  27. 27.A shopkeeper buys a toy for ₹960 and sells it for ₹1008. What is his profit percent? (a) 10% (b) 5% (c) 48% (d) 6%
  28. 28.A shopkeeper buys a toy for ₹200 and sells it for ₹190. What is his loss percent? (a) 4% (b) 10% (c) 5% (d) 6%
  29. 29.A shopkeeper buys a toy for ₹620 and sells it for ₹744. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  30. 30.What is 30% of 720? (a) 2160 (b) 504 (c) 432 (d) 216
  31. 31.What is 10% of 540? (a) 486 (b) 540 (c) 108 (d) 54
  32. 32.What is 50% of 860? (a) 431 (b) 4300 (c) 430 (d) 860
  33. 33.A shopkeeper buys a toy for ₹360 and sells it for ₹504. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  34. 34.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 10% (b) 66% (c) 15% (d) 5%
  35. 35.What is 50% of 780? (a) 391 (b) 390 (c) 3900 (d) 780
  36. 36.What is 20% of 180? (a) 72 (b) 360 (c) 144 (d) 36
  37. 37.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 4% (b) 5% (c) 10% (d) 6%
  38. 38.A shopkeeper buys a toy for ₹660 and sells it for ₹561. What is his loss percent? (a) 20% (b) 10% (c) 99% (d) 15%
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 36% (b) 25% (c) 15% (d) 20%
  40. 40.What is 30% of 80? (a) 56 (b) 48 (c) 24 (d) 240

Answer key

  1. 10%
  2. 30%
  3. 192
  4. 30%
  5. 25%
  6. ₹414
  7. 12
  8. ₹1008
  9. 20%
  10. 40%
  11. 10%
  12. 49
  13. ₹1008
  14. 5
  15. 270
  16. ₹1200
  17. ₹378
  18. 10%
  19. 460
  20. 396
  21. 70
  22. 5%
  23. 5%
  24. 25%
  25. 50%
  26. 50%
  27. 5%
  28. 5%
  29. 20%
  30. 216
  31. 54
  32. 430
  33. 40%
  34. 10%
  35. 390
  36. 36
  37. 5%
  38. 15%
  39. 20%
  40. 24

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