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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 140 · 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 ₹780 and sells it for ₹585. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹280 and sells it for ₹168. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  3. 3.A shopkeeper buys a toy for ₹720 and sells it for ₹540. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  4. 4.What is 15% of 720? (a) 612 (b) 1080 (c) 108 (d) 216
  5. 5.A shopkeeper buys a toy for ₹660 and sells it for ₹462. What is his loss percent? (a) 30% (b) 35% (c) 31% (d) 25%
  6. 6.What is 25% of 180? (a) 45 (b) 90 (c) 450 (d) 135
  7. 7.A shopkeeper buys a toy for ₹320 and sells it for ₹224. What is his loss percent? (a) 35% (b) 30% (c) 96% (d) 25%
  8. 8.What is 20% of 240? (a) 48 (b) 480 (c) 192 (d) 96
  9. 9.A shopkeeper buys a toy for ₹520 and sells it for ₹676. What is his profit percent? (a) 31% (b) 25% (c) 35% (d) 30%
  10. 10.A bag marked ₹980 is sold at a 25% discount. What is its selling price? (a) ₹245 (b) ₹955 (c) ₹735 (d) ₹1225
  11. 11.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 78% (b) 25% (c) 30% (d) 35%
  12. 12.A shopkeeper buys a toy for ₹400 and sells it for ₹380. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 20%
  13. 13.A bag marked ₹1640 is sold at a 30% discount. What is its selling price? (a) ₹492 (b) ₹1148 (c) ₹2132 (d) ₹1610
  14. 14.A shopkeeper buys a toy for ₹100 and sells it for ₹80. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 25%
  15. 15.What is 20% of 760? (a) 1520 (b) 608 (c) 304 (d) 152
  16. 16.A bag marked ₹940 is sold at a 40% discount. What is its selling price? (a) ₹900 (b) ₹564 (c) ₹376 (d) ₹1316
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹120. What is his profit percent? (a) 20% (b) 21% (c) 25% (d) 15%
  18. 18.What is 40% of 120? (a) 72 (b) 96 (c) 480 (d) 48
  19. 19.A shopkeeper buys a toy for ₹700 and sells it for ₹630. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 70%
  20. 20.A bag marked ₹920 is sold at a 30% discount. What is its selling price? (a) ₹1196 (b) ₹276 (c) ₹644 (d) ₹890
  21. 21.What is 20% of 400? (a) 800 (b) 320 (c) 160 (d) 80
  22. 22.A bag marked ₹540 is sold at a 20% discount. What is its selling price? (a) ₹648 (b) ₹108 (c) ₹520 (d) ₹432
  23. 23.A bag marked ₹1060 is sold at a 20% discount. What is its selling price? (a) ₹848 (b) ₹1040 (c) ₹1272 (d) ₹212
  24. 24.A shopkeeper buys a toy for ₹320 and sells it for ₹480. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  25. 25.What is 10% of 620? (a) 124 (b) 62 (c) 558 (d) 620
  26. 26.A shopkeeper buys a toy for ₹740 and sells it for ₹1110. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  27. 27.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  28. 28.What is 40% of 760? (a) 3040 (b) 304 (c) 608 (d) 456
  29. 29.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹32 (b) ₹288 (c) ₹352 (d) ₹310
  30. 30.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 6% (b) 13% (c) 5% (d) 10%
  31. 31.What is 25% of 380? (a) 285 (b) 190 (c) 950 (d) 95
  32. 32.A shopkeeper buys a toy for ₹480 and sells it for ₹432. What is his loss percent? (a) 5% (b) 48% (c) 10% (d) 15%
  33. 33.What is 10% of 840? (a) 168 (b) 840 (c) 84 (d) 756
  34. 34.What is 60% of 540? (a) 216 (b) 648 (c) 324 (d) 3240
  35. 35.A shopkeeper buys a toy for ₹740 and sells it for ₹703. What is his loss percent? (a) 6% (b) 10% (c) 37% (d) 5%
  36. 36.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 38% (b) 6% (c) 5% (d) 10%
  37. 37.What is 15% of 920? (a) 1380 (b) 782 (c) 276 (d) 138
  38. 38.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
  39. 39.What is 30% of 140? (a) 420 (b) 98 (c) 84 (d) 42
  40. 40.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%

Answer key

  1. 25%
  2. 40%
  3. 25%
  4. 108
  5. 30%
  6. 45
  7. 30%
  8. 48
  9. 30%
  10. ₹735
  11. 30%
  12. 5%
  13. ₹1148
  14. 20%
  15. 152
  16. ₹564
  17. 20%
  18. 48
  19. 10%
  20. ₹644
  21. 80
  22. ₹432
  23. ₹848
  24. 50%
  25. 62
  26. 50%
  27. 40%
  28. 304
  29. ₹288
  30. 5%
  31. 95
  32. 10%
  33. 84
  34. 324
  35. 5%
  36. 5%
  37. 138
  38. 15%
  39. 42
  40. 30%

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