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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 653 · 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 ₹100 and sells it for ₹75. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  2. 2.What is 10% of 540? (a) 54 (b) 486 (c) 108 (d) 540
  3. 3.A shopkeeper buys a toy for ₹300 and sells it for ₹420. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 41%
  4. 4.What is 10% of 180? (a) 180 (b) 162 (c) 18 (d) 36
  5. 5.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  6. 6.What is 50% of 400? (a) 400 (b) 2000 (c) 200 (d) 201
  7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 72% (b) 30% (c) 25% (d) 35%
  8. 8.What is 25% of 920? (a) 2300 (b) 690 (c) 460 (d) 230
  9. 9.A shopkeeper buys a toy for ₹280 and sells it for ₹420. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  10. 10.A shopkeeper buys a toy for ₹540 and sells it for ₹648. What is his profit percent? (a) 25% (b) 15% (c) 21% (d) 20%
  11. 11.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 46%
  12. 12.What is 40% of 700? (a) 2800 (b) 420 (c) 280 (d) 560
  13. 13.A shopkeeper buys a toy for ₹480 and sells it for ₹456. What is his loss percent? (a) 6% (b) 5% (c) 24% (d) 10%
  14. 14.A shopkeeper buys a toy for ₹720 and sells it for ₹540. What is his loss percent? (a) 26% (b) 20% (c) 25% (d) 30%
  15. 15.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 30% (b) 20% (c) 80% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 15% (b) 16% (c) 10% (d) 20%
  17. 17.A bag marked ₹1500 is sold at a 30% discount. What is its selling price? (a) ₹1950 (b) ₹450 (c) ₹1470 (d) ₹1050
  18. 18.A shopkeeper buys a toy for ₹480 and sells it for ₹672. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  19. 19.What is 75% of 380? (a) 285 (b) 570 (c) 95 (d) 2850
  20. 20.A shopkeeper buys a toy for ₹360 and sells it for ₹414. What is his profit percent? (a) 54% (b) 20% (c) 10% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
  22. 22.What is 40% of 820? (a) 3280 (b) 328 (c) 656 (d) 492
  23. 23.What is 50% of 980? (a) 4900 (b) 490 (c) 491 (d) 980
  24. 24.A shopkeeper buys a toy for ₹720 and sells it for ₹612. What is his loss percent? (a) 16% (b) 15% (c) 10% (d) 20%
  25. 25.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 42% (b) 10% (c) 5% (d) 15%
  26. 26.What is 50% of 760? (a) 381 (b) 3800 (c) 380 (d) 760
  27. 27.A shopkeeper buys a toy for ₹740 and sells it for ₹777. What is his profit percent? (a) 5% (b) 37% (c) 6% (d) 10%
  28. 28.What is 20% of 280? (a) 56 (b) 224 (c) 112 (d) 560
  29. 29.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 15% (b) 82% (c) 5% (d) 10%
  30. 30.A shopkeeper buys a toy for ₹340 and sells it for ₹272. What is his loss percent? (a) 68% (b) 15% (c) 20% (d) 25%
  31. 31.A shopkeeper buys a toy for ₹420 and sells it for ₹588. What is his profit percent? (a) 40% (b) 41% (c) 35% (d) 45%
  32. 32.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 26%
  33. 33.What is 50% of 80? (a) 400 (b) 80 (c) 41 (d) 40
  34. 34.What is 40% of 240? (a) 144 (b) 960 (c) 96 (d) 192
  35. 35.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  36. 36.A shopkeeper buys a toy for ₹420 and sells it for ₹336. What is his loss percent? (a) 15% (b) 84% (c) 25% (d) 20%
  37. 37.What is 25% of 960? (a) 2400 (b) 720 (c) 480 (d) 240
  38. 38.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 10% (b) 13% (c) 6% (d) 5%
  39. 39.A bag marked ₹1100 is sold at a 25% discount. What is its selling price? (a) ₹825 (b) ₹1375 (c) ₹1075 (d) ₹275
  40. 40.A bag marked ₹1760 is sold at a 40% discount. What is its selling price? (a) ₹704 (b) ₹1720 (c) ₹2464 (d) ₹1056

Answer key

  1. 25%
  2. 54
  3. 40%
  4. 18
  5. 30%
  6. 200
  7. 30%
  8. 230
  9. 50%
  10. 20%
  11. 5%
  12. 280
  13. 5%
  14. 25%
  15. 25%
  16. 15%
  17. ₹1050
  18. 40%
  19. 285
  20. 15%
  21. 25%
  22. 328
  23. 490
  24. 15%
  25. 10%
  26. 380
  27. 5%
  28. 56
  29. 10%
  30. 20%
  31. 40%
  32. 10%
  33. 40
  34. 96
  35. 25%
  36. 20%
  37. 240
  38. 5%
  39. ₹825
  40. ₹1056

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