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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 461 · 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 ₹420 and sells it for ₹399. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 21%
  2. 2.A shopkeeper buys a toy for ₹680 and sells it for ₹782. What is his profit percent? (a) 16% (b) 15% (c) 10% (d) 20%
  3. 3.What is 40% of 840? (a) 504 (b) 672 (c) 336 (d) 3360
  4. 4.A shopkeeper buys a toy for ₹100 and sells it for ₹80. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 21%
  5. 5.A bag marked ₹500 is sold at a 40% discount. What is its selling price? (a) ₹300 (b) ₹200 (c) ₹700 (d) ₹460
  6. 6.A bag marked ₹1740 is sold at a 50% discount. What is its selling price? (a) ₹1690 (b) ₹871 (c) ₹2610 (d) ₹870
  7. 7.A bag marked ₹960 is sold at a 15% discount. What is its selling price? (a) ₹144 (b) ₹1104 (c) ₹945 (d) ₹816
  8. 8.What is 5% of 920? (a) 460 (b) 874 (c) 92 (d) 46
  9. 9.A bag marked ₹380 is sold at a 15% discount. What is its selling price? (a) ₹323 (b) ₹437 (c) ₹365 (d) ₹57
  10. 10.What is 15% of 640? (a) 192 (b) 544 (c) 960 (d) 96
  11. 11.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
  12. 12.A bag marked ₹1300 is sold at a 10% discount. What is its selling price? (a) ₹130 (b) ₹1290 (c) ₹1430 (d) ₹1170
  13. 13.A shopkeeper buys a toy for ₹900 and sells it for ₹1125. What is his profit percent? (a) 26% (b) 20% (c) 30% (d) 25%
  14. 14.A bag marked ₹200 is sold at a 50% discount. What is its selling price? (a) ₹300 (b) ₹101 (c) ₹100 (d) ₹150
  15. 15.A bag marked ₹260 is sold at a 40% discount. What is its selling price? (a) ₹220 (b) ₹104 (c) ₹364 (d) ₹156
  16. 16.What is 20% of 800? (a) 1600 (b) 640 (c) 160 (d) 320
  17. 17.A bag marked ₹1280 is sold at a 40% discount. What is its selling price? (a) ₹512 (b) ₹768 (c) ₹1792 (d) ₹1240
  18. 18.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹48 (b) ₹305 (c) ₹272 (d) ₹368
  19. 19.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  20. 20.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 5% (c) 10% (d) 15%
  21. 21.What is 50% of 580? (a) 290 (b) 2900 (c) 580 (d) 291
  22. 22.A shopkeeper buys a toy for ₹320 and sells it for ₹384. What is his profit percent? (a) 20% (b) 25% (c) 64% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹620 and sells it for ₹651. What is his profit percent? (a) 5% (b) 10% (c) 6% (d) 31%
  24. 24.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 36% (b) 35% (c) 25% (d) 30%
  25. 25.A shopkeeper buys a toy for ₹140 and sells it for ₹84. What is his loss percent? (a) 45% (b) 56% (c) 35% (d) 40%
  26. 26.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 45% (b) 48% (c) 35% (d) 40%
  27. 27.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 20% (b) 16% (c) 10% (d) 15%
  28. 28.A shopkeeper buys a toy for ₹260 and sells it for ₹156. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  29. 29.A bag marked ₹560 is sold at a 25% discount. What is its selling price? (a) ₹140 (b) ₹535 (c) ₹420 (d) ₹700
  30. 30.A shopkeeper buys a toy for ₹100 and sells it for ₹110. What is his profit percent? (a) 15% (b) 5% (c) 11% (d) 10%
  31. 31.What is 5% of 360? (a) 342 (b) 18 (c) 36 (d) 180
  32. 32.A shopkeeper buys a toy for ₹300 and sells it for ₹420. What is his profit percent? (a) 45% (b) 40% (c) 35% (d) 41%
  33. 33.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹1305 (b) ₹435 (c) ₹1715 (d) ₹2175
  34. 34.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 25% (b) 20% (c) 21% (d) 15%
  35. 35.What is 20% of 340? (a) 680 (b) 272 (c) 68 (d) 136
  36. 36.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 26% (b) 5% (c) 15% (d) 10%
  37. 37.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  38. 38.A shopkeeper buys a toy for ₹500 and sells it for ₹375. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
  39. 39.A bag marked ₹1800 is sold at a 15% discount. What is its selling price? (a) ₹1530 (b) ₹1785 (c) ₹270 (d) ₹2070
  40. 40.A shopkeeper buys a toy for ₹820 and sells it for ₹1230. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%

Answer key

  1. 5%
  2. 15%
  3. 336
  4. 20%
  5. ₹300
  6. ₹870
  7. ₹816
  8. 46
  9. ₹323
  10. 96
  11. 30%
  12. ₹1170
  13. 25%
  14. ₹100
  15. ₹156
  16. 160
  17. ₹768
  18. ₹272
  19. 50%
  20. 10%
  21. 290
  22. 20%
  23. 5%
  24. 30%
  25. 40%
  26. 40%
  27. 15%
  28. 40%
  29. ₹420
  30. 10%
  31. 18
  32. 40%
  33. ₹1305
  34. 20%
  35. 68
  36. 10%
  37. 30%
  38. 25%
  39. ₹1530
  40. 50%

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