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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 622 · 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 ₹800 and sells it for ₹560. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹624. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  3. 3.What is 50% of 640? (a) 640 (b) 3200 (c) 320 (d) 321
  4. 4.A bag marked ₹540 is sold at a 30% discount. What is its selling price? (a) ₹378 (b) ₹510 (c) ₹702 (d) ₹162
  5. 5.A shopkeeper buys a toy for ₹220 and sells it for ₹209. What is his loss percent? (a) 6% (b) 11% (c) 5% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹240 and sells it for ₹336. What is his profit percent? (a) 35% (b) 40% (c) 45% (d) 96%
  7. 7.A bag marked ₹620 is sold at a 20% discount. What is its selling price? (a) ₹744 (b) ₹124 (c) ₹600 (d) ₹496
  8. 8.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  9. 9.A shopkeeper buys a toy for ₹740 and sells it for ₹925. What is his profit percent? (a) 30% (b) 25% (c) 26% (d) 20%
  10. 10.A shopkeeper buys a toy for ₹860 and sells it for ₹516. What is his loss percent? (a) 41% (b) 40% (c) 45% (d) 35%
  11. 11.A shopkeeper buys a toy for ₹980 and sells it for ₹1029. What is his profit percent? (a) 49% (b) 5% (c) 10% (d) 6%
  12. 12.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹138 (b) ₹322 (c) ₹598 (d) ₹430
  13. 13.A bag marked ₹680 is sold at a 40% discount. What is its selling price? (a) ₹272 (b) ₹408 (c) ₹952 (d) ₹640
  14. 14.A bag marked ₹1340 is sold at a 15% discount. What is its selling price? (a) ₹1325 (b) ₹1139 (c) ₹201 (d) ₹1541
  15. 15.What is 50% of 520? (a) 260 (b) 520 (c) 261 (d) 2600
  16. 16.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 5% (b) 10% (c) 34% (d) 15%
  17. 17.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 78%
  18. 18.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 74% (b) 10% (c) 15% (d) 5%
  19. 19.A bag marked ₹1680 is sold at a 15% discount. What is its selling price? (a) ₹252 (b) ₹1665 (c) ₹1932 (d) ₹1428
  20. 20.What is 10% of 860? (a) 860 (b) 774 (c) 172 (d) 86
  21. 21.What is 40% of 740? (a) 2960 (b) 592 (c) 296 (d) 444
  22. 22.What is 10% of 280? (a) 280 (b) 252 (c) 56 (d) 28
  23. 23.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 56% (b) 15% (c) 10% (d) 5%
  24. 24.A bag marked ₹1880 is sold at a 25% discount. What is its selling price? (a) ₹2350 (b) ₹1855 (c) ₹470 (d) ₹1410
  25. 25.A bag marked ₹700 is sold at a 50% discount. What is its selling price? (a) ₹650 (b) ₹351 (c) ₹1050 (d) ₹350
  26. 26.A bag marked ₹600 is sold at a 50% discount. What is its selling price? (a) ₹900 (b) ₹550 (c) ₹301 (d) ₹300
  27. 27.A shopkeeper buys a toy for ₹740 and sells it for ₹777. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 37%
  28. 28.A shopkeeper buys a toy for ₹580 and sells it for ₹754. What is his profit percent? (a) 35% (b) 30% (c) 25% (d) 31%
  29. 29.A shopkeeper buys a toy for ₹880 and sells it for ₹1232. What is his profit percent? (a) 41% (b) 45% (c) 35% (d) 40%
  30. 30.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 10% (b) 14% (c) 6% (d) 5%
  31. 31.A bag marked ₹1600 is sold at a 15% discount. What is its selling price? (a) ₹1360 (b) ₹1585 (c) ₹240 (d) ₹1840
  32. 32.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 26%
  33. 33.A shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 19%
  34. 34.What is 25% of 640? (a) 160 (b) 1600 (c) 320 (d) 480
  35. 35.A bag marked ₹1380 is sold at a 20% discount. What is its selling price? (a) ₹1104 (b) ₹276 (c) ₹1360 (d) ₹1656
  36. 36.What is 60% of 740? (a) 4440 (b) 296 (c) 888 (d) 444
  37. 37.A bag marked ₹860 is sold at a 50% discount. What is its selling price? (a) ₹810 (b) ₹1290 (c) ₹431 (d) ₹430
  38. 38.What is 15% of 120? (a) 180 (b) 18 (c) 36 (d) 102
  39. 39.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 30% (b) 35% (c) 60% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 26% (b) 10% (c) 6% (d) 5%

Answer key

  1. 30%
  2. 20%
  3. 320
  4. ₹378
  5. 5%
  6. 40%
  7. ₹496
  8. 40%
  9. 25%
  10. 40%
  11. 5%
  12. ₹322
  13. ₹408
  14. ₹1139
  15. 260
  16. 10%
  17. 10%
  18. 10%
  19. ₹1428
  20. 86
  21. 296
  22. 28
  23. 10%
  24. ₹1410
  25. ₹350
  26. ₹300
  27. 5%
  28. 30%
  29. 40%
  30. 5%
  31. ₹1360
  32. 10%
  33. 5%
  34. 160
  35. ₹1104
  36. 444
  37. ₹430
  38. 18
  39. 30%
  40. 5%

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