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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 617 · 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 ₹620 and sells it for ₹775. What is his profit percent? (a) 30% (b) 25% (c) 20% (d) 26%
  2. 2.A shopkeeper buys a toy for ₹140 and sells it for ₹105. What is his loss percent? (a) 35% (b) 20% (c) 30% (d) 25%
  3. 3.A shopkeeper buys a toy for ₹240 and sells it for ₹288. What is his profit percent? (a) 48% (b) 20% (c) 15% (d) 25%
  4. 4.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 40% (b) 35% (c) 41% (d) 45%
  5. 5.What is 75% of 120? (a) 180 (b) 30 (c) 900 (d) 90
  6. 6.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 31%
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 5% (b) 32% (c) 10% (d) 15%
  8. 8.A shopkeeper buys a toy for ₹940 and sells it for ₹1316. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  9. 9.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹610 (b) ₹62 (c) ₹682 (d) ₹558
  10. 10.A shopkeeper buys a toy for ₹660 and sells it for ₹858. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
  11. 11.What is 75% of 200? (a) 300 (b) 50 (c) 1500 (d) 150
  12. 12.What is 10% of 160? (a) 144 (b) 160 (c) 16 (d) 32
  13. 13.A bag marked ₹720 is sold at a 50% discount. What is its selling price? (a) ₹1080 (b) ₹670 (c) ₹361 (d) ₹360
  14. 14.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 26%
  15. 15.A shopkeeper buys a toy for ₹460 and sells it for ₹598. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  16. 16.What is 5% of 320? (a) 160 (b) 16 (c) 32 (d) 304
  17. 17.What is 30% of 340? (a) 1020 (b) 102 (c) 204 (d) 238
  18. 18.What is 20% of 160? (a) 320 (b) 64 (c) 32 (d) 128
  19. 19.What is 60% of 40? (a) 48 (b) 240 (c) 16 (d) 24
  20. 20.What is 25% of 560? (a) 280 (b) 1400 (c) 140 (d) 420
  21. 21.A bag marked ₹1440 is sold at a 30% discount. What is its selling price? (a) ₹1410 (b) ₹1872 (c) ₹1008 (d) ₹432
  22. 22.What is 5% of 200? (a) 100 (b) 20 (c) 10 (d) 190
  23. 23.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 24%
  24. 24.What is 50% of 600? (a) 3000 (b) 300 (c) 600 (d) 301
  25. 25.A shopkeeper buys a toy for ₹960 and sells it for ₹1056. What is his profit percent? (a) 10% (b) 15% (c) 96% (d) 5%
  26. 26.A bag marked ₹680 is sold at a 40% discount. What is its selling price? (a) ₹272 (b) ₹952 (c) ₹408 (d) ₹640
  27. 27.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  28. 28.A shopkeeper buys a toy for ₹880 and sells it for ₹1144. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  29. 29.What is 50% of 280? (a) 141 (b) 1400 (c) 280 (d) 140
  30. 30.A shopkeeper buys a toy for ₹820 and sells it for ₹574. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 31%
  31. 31.What is 30% of 300? (a) 180 (b) 210 (c) 900 (d) 90
  32. 32.What is 10% of 920? (a) 828 (b) 184 (c) 92 (d) 920
  33. 33.What is 10% of 780? (a) 78 (b) 780 (c) 702 (d) 156
  34. 34.A bag marked ₹1040 is sold at a 20% discount. What is its selling price? (a) ₹1020 (b) ₹208 (c) ₹1248 (d) ₹832
  35. 35.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 70%
  36. 36.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 10% (b) 38% (c) 6% (d) 5%
  37. 37.What is 30% of 280? (a) 840 (b) 196 (c) 84 (d) 168
  38. 38.A shopkeeper buys a toy for ₹120 and sells it for ₹102. What is his loss percent? (a) 20% (b) 18% (c) 10% (d) 15%
  39. 39.What is 60% of 720? (a) 432 (b) 4320 (c) 864 (d) 288
  40. 40.A shopkeeper buys a toy for ₹580 and sells it for ₹435. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%

Answer key

  1. 25%
  2. 25%
  3. 20%
  4. 40%
  5. 90
  6. 30%
  7. 10%
  8. 40%
  9. ₹558
  10. 30%
  11. 150
  12. 16
  13. ₹360
  14. 10%
  15. 30%
  16. 16
  17. 102
  18. 32
  19. 24
  20. 140
  21. ₹1008
  22. 10
  23. 5%
  24. 300
  25. 10%
  26. ₹408
  27. 50%
  28. 30%
  29. 140
  30. 30%
  31. 90
  32. 92
  33. 78
  34. ₹832
  35. 10%
  36. 5%
  37. 84
  38. 15%
  39. 432
  40. 25%

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