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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 701 · 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 ₹660 is sold at a 30% discount. What is its selling price? (a) ₹858 (b) ₹198 (c) ₹630 (d) ₹462
  2. 2.A bag marked ₹700 is sold at a 15% discount. What is its selling price? (a) ₹685 (b) ₹595 (c) ₹805 (d) ₹105
  3. 3.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 21% (b) 15% (c) 20% (d) 25%
  4. 4.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 84%
  5. 5.What is 60% of 780? (a) 312 (b) 468 (c) 936 (d) 4680
  6. 6.What is 40% of 920? (a) 3680 (b) 552 (c) 736 (d) 368
  7. 7.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  8. 8.A shopkeeper buys a toy for ₹980 and sells it for ₹833. What is his loss percent? (a) 20% (b) 10% (c) 16% (d) 15%
  9. 9.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 50% (b) 51% (c) 45% (d) 55%
  10. 10.A shopkeeper buys a toy for ₹120 and sells it for ₹156. What is his profit percent? (a) 36% (b) 25% (c) 35% (d) 30%
  11. 11.A shopkeeper buys a toy for ₹880 and sells it for ₹1232. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 41%
  12. 12.What is 10% of 200? (a) 180 (b) 40 (c) 200 (d) 20
  13. 13.A shopkeeper buys a toy for ₹920 and sells it for ₹782. What is his loss percent? (a) 10% (b) 15% (c) 16% (d) 20%
  14. 14.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 6% (b) 5% (c) 34% (d) 10%
  15. 15.What is 25% of 340? (a) 850 (b) 255 (c) 85 (d) 170
  16. 16.What is 40% of 580? (a) 2320 (b) 348 (c) 464 (d) 232
  17. 17.A bag marked ₹920 is sold at a 20% discount. What is its selling price? (a) ₹900 (b) ₹736 (c) ₹1104 (d) ₹184
  18. 18.A bag marked ₹1200 is sold at a 15% discount. What is its selling price? (a) ₹1185 (b) ₹180 (c) ₹1380 (d) ₹1020
  19. 19.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 25% (b) 20% (c) 60% (d) 15%
  20. 20.A bag marked ₹500 is sold at a 40% discount. What is its selling price? (a) ₹460 (b) ₹700 (c) ₹300 (d) ₹200
  21. 21.A bag marked ₹880 is sold at a 30% discount. What is its selling price? (a) ₹1144 (b) ₹850 (c) ₹616 (d) ₹264
  22. 22.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 35% (b) 45% (c) 72% (d) 40%
  23. 23.A bag marked ₹1980 is sold at a 10% discount. What is its selling price? (a) ₹1782 (b) ₹1970 (c) ₹198 (d) ₹2178
  24. 24.What is 50% of 160? (a) 800 (b) 81 (c) 80 (d) 160
  25. 25.What is 60% of 360? (a) 144 (b) 216 (c) 2160 (d) 432
  26. 26.A bag marked ₹1620 is sold at a 15% discount. What is its selling price? (a) ₹1605 (b) ₹243 (c) ₹1377 (d) ₹1863
  27. 27.A bag marked ₹620 is sold at a 50% discount. What is its selling price? (a) ₹311 (b) ₹930 (c) ₹570 (d) ₹310
  28. 28.A shopkeeper buys a toy for ₹240 and sells it for ₹144. What is his loss percent? (a) 40% (b) 35% (c) 96% (d) 45%
  29. 29.A bag marked ₹1600 is sold at a 20% discount. What is its selling price? (a) ₹320 (b) ₹1920 (c) ₹1580 (d) ₹1280
  30. 30.What is 10% of 100? (a) 20 (b) 10 (c) 100 (d) 90
  31. 31.A shopkeeper buys a toy for ₹600 and sells it for ₹540. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 60%
  32. 32.A shopkeeper buys a toy for ₹540 and sells it for ₹486. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 54%
  33. 33.A bag marked ₹1260 is sold at a 20% discount. What is its selling price? (a) ₹252 (b) ₹1240 (c) ₹1512 (d) ₹1008
  34. 34.A bag marked ₹1080 is sold at a 30% discount. What is its selling price? (a) ₹1404 (b) ₹1050 (c) ₹756 (d) ₹324
  35. 35.What is 15% of 200? (a) 300 (b) 170 (c) 60 (d) 30
  36. 36.A shopkeeper buys a toy for ₹900 and sells it for ₹1035. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 20%
  37. 37.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 12%
  38. 38.What is 15% of 720? (a) 108 (b) 612 (c) 1080 (d) 216
  39. 39.What is 25% of 220? (a) 165 (b) 110 (c) 550 (d) 55
  40. 40.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%

Answer key

  1. ₹462
  2. ₹595
  3. 20%
  4. 10%
  5. 468
  6. 368
  7. 50%
  8. 15%
  9. 50%
  10. 30%
  11. 40%
  12. 20
  13. 15%
  14. 5%
  15. 85
  16. 232
  17. ₹736
  18. ₹1020
  19. 20%
  20. ₹300
  21. ₹616
  22. 40%
  23. ₹1782
  24. 80
  25. 216
  26. ₹1377
  27. ₹310
  28. 40%
  29. ₹1280
  30. 10
  31. 10%
  32. 10%
  33. ₹1008
  34. ₹756
  35. 30
  36. 15%
  37. 5%
  38. 108
  39. 55
  40. 30%

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