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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 715 · 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 ₹260 is sold at a 15% discount. What is its selling price? (a) ₹39 (b) ₹245 (c) ₹299 (d) ₹221
  2. 2.A bag marked ₹500 is sold at a 50% discount. What is its selling price? (a) ₹750 (b) ₹450 (c) ₹251 (d) ₹250
  3. 3.What is 20% of 700? (a) 280 (b) 560 (c) 140 (d) 1400
  4. 4.A bag marked ₹280 is sold at a 50% discount. What is its selling price? (a) ₹420 (b) ₹230 (c) ₹140 (d) ₹141
  5. 5.A shopkeeper buys a toy for ₹420 and sells it for ₹588. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  6. 6.A shopkeeper buys a toy for ₹480 and sells it for ₹384. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 96%
  7. 7.What is 15% of 660? (a) 990 (b) 561 (c) 198 (d) 99
  8. 8.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%
  9. 9.What is 50% of 740? (a) 371 (b) 370 (c) 740 (d) 3700
  10. 10.What is 10% of 200? (a) 200 (b) 40 (c) 20 (d) 180
  11. 11.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  12. 12.What is 15% of 680? (a) 204 (b) 1020 (c) 578 (d) 102
  13. 13.A bag marked ₹1520 is sold at a 40% discount. What is its selling price? (a) ₹912 (b) ₹1480 (c) ₹2128 (d) ₹608
  14. 14.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 5% (b) 10% (c) 15% (d) 42%
  15. 15.A shopkeeper buys a toy for ₹580 and sells it for ₹638. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 58%
  16. 16.What is 5% of 840? (a) 42 (b) 420 (c) 84 (d) 798
  17. 17.A bag marked ₹1020 is sold at a 25% discount. What is its selling price? (a) ₹255 (b) ₹995 (c) ₹1275 (d) ₹765
  18. 18.A bag marked ₹660 is sold at a 50% discount. What is its selling price? (a) ₹331 (b) ₹330 (c) ₹610 (d) ₹990
  19. 19.A shopkeeper buys a toy for ₹720 and sells it for ₹936. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  20. 20.What is 30% of 860? (a) 602 (b) 2580 (c) 516 (d) 258
  21. 21.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 7% (b) 10% (c) 5% (d) 6%
  22. 22.A bag marked ₹1080 is sold at a 15% discount. What is its selling price? (a) ₹162 (b) ₹1242 (c) ₹918 (d) ₹1065
  23. 23.What is 15% of 580? (a) 493 (b) 870 (c) 174 (d) 87
  24. 24.What is 40% of 700? (a) 560 (b) 2800 (c) 420 (d) 280
  25. 25.A shopkeeper buys a toy for ₹940 and sells it for ₹1175. What is his profit percent? (a) 25% (b) 30% (c) 26% (d) 20%
  26. 26.A bag marked ₹1740 is sold at a 40% discount. What is its selling price? (a) ₹696 (b) ₹1700 (c) ₹2436 (d) ₹1044
  27. 27.A shopkeeper buys a toy for ₹380 and sells it for ₹570. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
  28. 28.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 26%
  29. 29.A bag marked ₹1420 is sold at a 30% discount. What is its selling price? (a) ₹1846 (b) ₹1390 (c) ₹426 (d) ₹994
  30. 30.A shopkeeper buys a toy for ₹400 and sells it for ₹280. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  31. 31.What is 40% of 460? (a) 1840 (b) 184 (c) 368 (d) 276
  32. 32.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 25% (b) 35% (c) 30% (d) 78%
  33. 33.What is 75% of 960? (a) 7200 (b) 240 (c) 1440 (d) 720
  34. 34.A shopkeeper buys a toy for ₹360 and sells it for ₹396. What is his profit percent? (a) 5% (b) 10% (c) 36% (d) 15%
  35. 35.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 5% (b) 10% (c) 40% (d) 15%
  36. 36.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 21% (b) 20% (c) 15% (d) 25%
  37. 37.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 45% (b) 41% (c) 40% (d) 35%
  38. 38.A bag marked ₹1760 is sold at a 15% discount. What is its selling price? (a) ₹2024 (b) ₹264 (c) ₹1745 (d) ₹1496
  39. 39.What is 30% of 240? (a) 144 (b) 72 (c) 168 (d) 720
  40. 40.What is 30% of 980? (a) 294 (b) 2940 (c) 686 (d) 588

Answer key

  1. ₹221
  2. ₹250
  3. 140
  4. ₹140
  5. 40%
  6. 20%
  7. 99
  8. 25%
  9. 370
  10. 20
  11. 20%
  12. 102
  13. ₹912
  14. 10%
  15. 10%
  16. 42
  17. ₹765
  18. ₹330
  19. 30%
  20. 258
  21. 5%
  22. ₹918
  23. 87
  24. 280
  25. 25%
  26. ₹1044
  27. 50%
  28. 25%
  29. ₹994
  30. 30%
  31. 184
  32. 30%
  33. 720
  34. 10%
  35. 10%
  36. 20%
  37. 40%
  38. ₹1496
  39. 72
  40. 294

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