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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 796 · 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 ₹640 and sells it for ₹512. What is his loss percent? (a) 25% (b) 20% (c) 15% (d) 21%
  2. 2.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  3. 3.What is 20% of 800? (a) 160 (b) 1600 (c) 320 (d) 640
  4. 4.A shopkeeper buys a toy for ₹840 and sells it for ₹966. What is his profit percent? (a) 16% (b) 20% (c) 10% (d) 15%
  5. 5.What is 5% of 960? (a) 96 (b) 480 (c) 48 (d) 912
  6. 6.What is 25% of 620? (a) 155 (b) 1550 (c) 465 (d) 310
  7. 7.What is 60% of 260? (a) 1560 (b) 312 (c) 156 (d) 104
  8. 8.A bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹410 (b) ₹230 (c) ₹231 (d) ₹690
  9. 9.What is 30% of 440? (a) 132 (b) 264 (c) 308 (d) 1320
  10. 10.A bag marked ₹860 is sold at a 30% discount. What is its selling price? (a) ₹602 (b) ₹258 (c) ₹830 (d) ₹1118
  11. 11.A shopkeeper buys a toy for ₹180 and sells it for ₹216. What is his profit percent? (a) 25% (b) 36% (c) 20% (d) 15%
  12. 12.A shopkeeper buys a toy for ₹520 and sells it for ₹728. What is his profit percent? (a) 41% (b) 40% (c) 35% (d) 45%
  13. 13.What is 5% of 320? (a) 160 (b) 32 (c) 304 (d) 16
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 5% (b) 26% (c) 10% (d) 15%
  15. 15.A shopkeeper buys a toy for ₹120 and sells it for ₹96. What is his loss percent? (a) 25% (b) 20% (c) 24% (d) 15%
  16. 16.A bag marked ₹540 is sold at a 25% discount. What is its selling price? (a) ₹405 (b) ₹515 (c) ₹135 (d) ₹675
  17. 17.A shopkeeper buys a toy for ₹980 and sells it for ₹735. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  18. 18.What is 75% of 920? (a) 690 (b) 6900 (c) 230 (d) 1380
  19. 19.What is 40% of 680? (a) 544 (b) 2720 (c) 272 (d) 408
  20. 20.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 5% (b) 10% (c) 42% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹500 and sells it for ₹700. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  22. 22.What is 60% of 300? (a) 1800 (b) 360 (c) 180 (d) 120
  23. 23.A shopkeeper buys a toy for ₹920 and sells it for ₹552. What is his loss percent? (a) 41% (b) 45% (c) 35% (d) 40%
  24. 24.A bag marked ₹760 is sold at a 40% discount. What is its selling price? (a) ₹304 (b) ₹720 (c) ₹456 (d) ₹1064
  25. 25.A shopkeeper buys a toy for ₹400 and sells it for ₹280. What is his loss percent? (a) 30% (b) 25% (c) 35% (d) 31%
  26. 26.A bag marked ₹1200 is sold at a 10% discount. What is its selling price? (a) ₹1080 (b) ₹1320 (c) ₹1190 (d) ₹120
  27. 27.What is 15% of 220? (a) 330 (b) 33 (c) 187 (d) 66
  28. 28.A shopkeeper buys a toy for ₹300 and sells it for ₹315. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 15%
  29. 29.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 5%
  30. 30.A bag marked ₹1760 is sold at a 15% discount. What is its selling price? (a) ₹264 (b) ₹2024 (c) ₹1745 (d) ₹1496
  31. 31.A shopkeeper buys a toy for ₹380 and sells it for ₹304. What is his loss percent? (a) 76% (b) 15% (c) 20% (d) 25%
  32. 32.A bag marked ₹1200 is sold at a 40% discount. What is its selling price? (a) ₹720 (b) ₹1680 (c) ₹1160 (d) ₹480
  33. 33.What is 40% of 660? (a) 2640 (b) 264 (c) 528 (d) 396
  34. 34.What is 20% of 680? (a) 272 (b) 136 (c) 544 (d) 1360
  35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
  36. 36.A bag marked ₹960 is sold at a 10% discount. What is its selling price? (a) ₹96 (b) ₹950 (c) ₹1056 (d) ₹864
  37. 37.What is 50% of 780? (a) 390 (b) 3900 (c) 780 (d) 391
  38. 38.What is 30% of 140? (a) 42 (b) 84 (c) 98 (d) 420
  39. 39.A bag marked ₹1340 is sold at a 40% discount. What is its selling price? (a) ₹1300 (b) ₹1876 (c) ₹536 (d) ₹804
  40. 40.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 10% (b) 5% (c) 4% (d) 6%

Answer key

  1. 20%
  2. 40%
  3. 160
  4. 15%
  5. 48
  6. 155
  7. 156
  8. ₹230
  9. 132
  10. ₹602
  11. 20%
  12. 40%
  13. 16
  14. 10%
  15. 20%
  16. ₹405
  17. 25%
  18. 690
  19. 272
  20. 10%
  21. 40%
  22. 180
  23. 40%
  24. ₹456
  25. 30%
  26. ₹1080
  27. 33
  28. 5%
  29. 10%
  30. ₹1496
  31. 20%
  32. ₹720
  33. 264
  34. 136
  35. 40%
  36. ₹864
  37. 390
  38. 42
  39. ₹804
  40. 5%

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