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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 572 · 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 bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹690 (b) ₹230 (c) ₹410 (d) ₹231
  2. 2.What is 60% of 100? (a) 600 (b) 40 (c) 60 (d) 120
  3. 3.A shopkeeper buys a toy for ₹120 and sells it for ₹96. What is his loss percent? (a) 25% (b) 24% (c) 15% (d) 20%
  4. 4.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 40% (b) 45% (c) 64% (d) 35%
  5. 5.A shopkeeper buys a toy for ₹440 and sells it for ₹506. What is his profit percent? (a) 66% (b) 10% (c) 15% (d) 20%
  6. 6.A shopkeeper buys a toy for ₹380 and sells it for ₹285. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 95%
  7. 7.What is 30% of 820? (a) 492 (b) 2460 (c) 246 (d) 574
  8. 8.What is 10% of 140? (a) 126 (b) 140 (c) 28 (d) 14
  9. 9.What is 60% of 160? (a) 960 (b) 64 (c) 192 (d) 96
  10. 10.A bag marked ₹600 is sold at a 10% discount. What is its selling price? (a) ₹60 (b) ₹660 (c) ₹540 (d) ₹590
  11. 11.A bag marked ₹500 is sold at a 20% discount. What is its selling price? (a) ₹100 (b) ₹480 (c) ₹400 (d) ₹600
  12. 12.What is 60% of 560? (a) 3360 (b) 224 (c) 336 (d) 672
  13. 13.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹2300 (b) ₹1985 (c) ₹1700 (d) ₹300
  14. 14.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
  15. 15.A bag marked ₹1080 is sold at a 30% discount. What is its selling price? (a) ₹1404 (b) ₹756 (c) ₹324 (d) ₹1050
  16. 16.What is 10% of 100? (a) 20 (b) 90 (c) 10 (d) 100
  17. 17.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 80%
  18. 18.What is 60% of 300? (a) 120 (b) 180 (c) 1800 (d) 360
  19. 19.A bag marked ₹1100 is sold at a 25% discount. What is its selling price? (a) ₹825 (b) ₹275 (c) ₹1075 (d) ₹1375
  20. 20.What is 30% of 880? (a) 616 (b) 528 (c) 2640 (d) 264
  21. 21.What is 30% of 260? (a) 182 (b) 78 (c) 156 (d) 780
  22. 22.A bag marked ₹760 is sold at a 15% discount. What is its selling price? (a) ₹646 (b) ₹745 (c) ₹874 (d) ₹114
  23. 23.A shopkeeper buys a toy for ₹580 and sells it for ₹464. What is his loss percent? (a) 21% (b) 25% (c) 15% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 21%
  25. 25.What is 15% of 60? (a) 18 (b) 9 (c) 51 (d) 90
  26. 26.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 69%
  27. 27.What is 25% of 660? (a) 330 (b) 165 (c) 1650 (d) 495
  28. 28.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 24% (b) 15% (c) 5% (d) 10%
  29. 29.A shopkeeper buys a toy for ₹820 and sells it for ₹861. What is his profit percent? (a) 41% (b) 10% (c) 5% (d) 6%
  30. 30.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  31. 31.A bag marked ₹240 is sold at a 25% discount. What is its selling price? (a) ₹60 (b) ₹180 (c) ₹215 (d) ₹300
  32. 32.What is 40% of 600? (a) 360 (b) 2400 (c) 480 (d) 240
  33. 33.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  34. 34.What is 25% of 300? (a) 750 (b) 75 (c) 150 (d) 225
  35. 35.A shopkeeper buys a toy for ₹820 and sells it for ₹984. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  36. 36.A shopkeeper buys a toy for ₹480 and sells it for ₹672. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  37. 37.A shopkeeper buys a toy for ₹540 and sells it for ₹648. What is his profit percent? (a) 20% (b) 21% (c) 25% (d) 15%
  38. 38.What is 25% of 540? (a) 270 (b) 135 (c) 405 (d) 1350
  39. 39.A bag marked ₹900 is sold at a 25% discount. What is its selling price? (a) ₹225 (b) ₹1125 (c) ₹675 (d) ₹875
  40. 40.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 32%

Answer key

  1. ₹230
  2. 60
  3. 20%
  4. 40%
  5. 15%
  6. 25%
  7. 246
  8. 14
  9. 96
  10. ₹540
  11. ₹400
  12. 336
  13. ₹1700
  14. 40%
  15. ₹756
  16. 10
  17. 25%
  18. 180
  19. ₹825
  20. 264
  21. 78
  22. ₹646
  23. 20%
  24. 5%
  25. 9
  26. 15%
  27. 165
  28. 10%
  29. 5%
  30. 20%
  31. ₹180
  32. 240
  33. 50%
  34. 75
  35. 20%
  36. 40%
  37. 20%
  38. 135
  39. ₹675
  40. 10%

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