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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 384 · 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 ₹980 and sells it for ₹931. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 49%
  2. 2.A bag marked ₹340 is sold at a 10% discount. What is its selling price? (a) ₹374 (b) ₹330 (c) ₹306 (d) ₹34
  3. 3.A shopkeeper buys a toy for ₹500 and sells it for ₹525. What is his profit percent? (a) 6% (b) 25% (c) 10% (d) 5%
  4. 4.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  5. 5.A shopkeeper buys a toy for ₹700 and sells it for ₹875. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  6. 6.What is 5% of 60? (a) 30 (b) 3 (c) 6 (d) 57
  7. 7.What is 25% of 140? (a) 70 (b) 105 (c) 35 (d) 350
  8. 8.What is 20% of 700? (a) 560 (b) 140 (c) 1400 (d) 280
  9. 9.What is 50% of 60? (a) 30 (b) 60 (c) 31 (d) 300
  10. 10.What is 60% of 340? (a) 136 (b) 204 (c) 2040 (d) 408
  11. 11.What is 75% of 260? (a) 195 (b) 65 (c) 390 (d) 1950
  12. 12.A bag marked ₹820 is sold at a 30% discount. What is its selling price? (a) ₹790 (b) ₹246 (c) ₹574 (d) ₹1066
  13. 13.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  14. 14.A shopkeeper buys a toy for ₹460 and sells it for ₹552. What is his profit percent? (a) 15% (b) 20% (c) 92% (d) 25%
  15. 15.A shopkeeper buys a toy for ₹140 and sells it for ₹196. What is his profit percent? (a) 45% (b) 56% (c) 35% (d) 40%
  16. 16.A bag marked ₹960 is sold at a 20% discount. What is its selling price? (a) ₹940 (b) ₹1152 (c) ₹768 (d) ₹192
  17. 17.A shopkeeper buys a toy for ₹520 and sells it for ₹546. What is his profit percent? (a) 5% (b) 10% (c) 26% (d) 6%
  18. 18.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 56% (b) 10% (c) 5% (d) 15%
  19. 19.What is 20% of 440? (a) 880 (b) 176 (c) 88 (d) 352
  20. 20.What is 25% of 360? (a) 180 (b) 90 (c) 270 (d) 900
  21. 21.A shopkeeper buys a toy for ₹120 and sells it for ₹96. What is his loss percent? (a) 15% (b) 25% (c) 20% (d) 24%
  22. 22.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 84%
  23. 23.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 14%
  24. 24.What is 60% of 740? (a) 4440 (b) 444 (c) 888 (d) 296
  25. 25.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 23% (b) 5% (c) 6% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 15% (b) 25% (c) 56% (d) 20%
  27. 27.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  28. 28.A bag marked ₹1740 is sold at a 40% discount. What is its selling price? (a) ₹1700 (b) ₹696 (c) ₹1044 (d) ₹2436
  29. 29.A bag marked ₹760 is sold at a 20% discount. What is its selling price? (a) ₹152 (b) ₹912 (c) ₹740 (d) ₹608
  30. 30.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  31. 31.What is 30% of 520? (a) 156 (b) 364 (c) 1560 (d) 312
  32. 32.What is 50% of 380? (a) 380 (b) 190 (c) 1900 (d) 191
  33. 33.What is 60% of 300? (a) 360 (b) 180 (c) 1800 (d) 120
  34. 34.A shopkeeper buys a toy for ₹480 and sells it for ₹504. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 24%
  35. 35.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  36. 36.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 20% (b) 10% (c) 45% (d) 15%
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 26% (b) 5% (c) 10% (d) 15%
  38. 38.A shopkeeper buys a toy for ₹1000 and sells it for ₹1250. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  39. 39.What is 20% of 220? (a) 88 (b) 440 (c) 176 (d) 44
  40. 40.What is 5% of 900? (a) 855 (b) 90 (c) 450 (d) 45

Answer key

  1. 5%
  2. ₹306
  3. 5%
  4. 40%
  5. 25%
  6. 3
  7. 35
  8. 140
  9. 30
  10. 204
  11. 195
  12. ₹574
  13. 20%
  14. 20%
  15. 40%
  16. ₹768
  17. 5%
  18. 10%
  19. 88
  20. 90
  21. 20%
  22. 10%
  23. 10%
  24. 444
  25. 5%
  26. 20%
  27. 20%
  28. ₹1044
  29. ₹608
  30. 50%
  31. 156
  32. 190
  33. 180
  34. 5%
  35. 25%
  36. 15%
  37. 10%
  38. 25%
  39. 44
  40. 45

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