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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 676 · 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 ₹200 and sells it for ₹120. What is his loss percent? (a) 45% (b) 80% (c) 35% (d) 40%
  2. 2.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 24%
  3. 3.What is 25% of 580? (a) 1450 (b) 290 (c) 145 (d) 435
  4. 4.A bag marked ₹440 is sold at a 15% discount. What is its selling price? (a) ₹374 (b) ₹66 (c) ₹425 (d) ₹506
  5. 5.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 25% (b) 20% (c) 26% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹460 and sells it for ₹276. What is his loss percent? (a) 41% (b) 35% (c) 40% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 10% (b) 46% (c) 5% (d) 6%
  8. 8.What is 15% of 200? (a) 60 (b) 300 (c) 30 (d) 170
  9. 9.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 28% (b) 15% (c) 20% (d) 25%
  10. 10.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 20%
  11. 11.A bag marked ₹1160 is sold at a 10% discount. What is its selling price? (a) ₹1150 (b) ₹116 (c) ₹1276 (d) ₹1044
  12. 12.A bag marked ₹1960 is sold at a 20% discount. What is its selling price? (a) ₹1568 (b) ₹1940 (c) ₹392 (d) ₹2352
  13. 13.What is 40% of 180? (a) 144 (b) 720 (c) 108 (d) 72
  14. 14.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 6% (b) 10% (c) 38% (d) 5%
  15. 15.A bag marked ₹740 is sold at a 50% discount. What is its selling price? (a) ₹690 (b) ₹370 (c) ₹1110 (d) ₹371
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 11% (b) 15% (c) 5% (d) 10%
  17. 17.What is 25% of 640? (a) 320 (b) 1600 (c) 160 (d) 480
  18. 18.What is 75% of 660? (a) 4950 (b) 165 (c) 990 (d) 495
  19. 19.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  20. 20.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 10% (b) 15% (c) 78% (d) 5%
  21. 21.What is 10% of 80? (a) 16 (b) 80 (c) 8 (d) 72
  22. 22.A bag marked ₹1420 is sold at a 40% discount. What is its selling price? (a) ₹1380 (b) ₹852 (c) ₹1988 (d) ₹568
  23. 23.A shopkeeper buys a toy for ₹800 and sells it for ₹840. What is his profit percent? (a) 6% (b) 40% (c) 10% (d) 5%
  24. 24.What is 15% of 1000? (a) 1500 (b) 150 (c) 300 (d) 850
  25. 25.A shopkeeper buys a toy for ₹940 and sells it for ₹658. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  26. 26.A shopkeeper buys a toy for ₹420 and sells it for ₹441. What is his profit percent? (a) 6% (b) 5% (c) 21% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹980 and sells it for ₹1470. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  28. 28.What is 30% of 240? (a) 168 (b) 144 (c) 72 (d) 720
  29. 29.A shopkeeper buys a toy for ₹980 and sells it for ₹931. What is his loss percent? (a) 49% (b) 6% (c) 10% (d) 5%
  30. 30.A bag marked ₹1080 is sold at a 15% discount. What is its selling price? (a) ₹918 (b) ₹162 (c) ₹1242 (d) ₹1065
  31. 31.A shopkeeper buys a toy for ₹700 and sells it for ₹805. What is his profit percent? (a) 15% (b) 16% (c) 10% (d) 20%
  32. 32.What is 50% of 180? (a) 180 (b) 91 (c) 900 (d) 90
  33. 33.What is 15% of 600? (a) 180 (b) 510 (c) 900 (d) 90
  34. 34.What is 30% of 360? (a) 1080 (b) 252 (c) 216 (d) 108
  35. 35.What is 75% of 580? (a) 145 (b) 4350 (c) 870 (d) 435
  36. 36.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹558 (b) ₹610 (c) ₹682 (d) ₹62
  37. 37.A bag marked ₹480 is sold at a 20% discount. What is its selling price? (a) ₹460 (b) ₹96 (c) ₹384 (d) ₹576
  38. 38.What is 40% of 340? (a) 204 (b) 136 (c) 1360 (d) 272
  39. 39.A shopkeeper buys a toy for ₹640 and sells it for ₹480. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 26%
  40. 40.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 25% (b) 35% (c) 54% (d) 30%

Answer key

  1. 40%
  2. 15%
  3. 145
  4. ₹374
  5. 25%
  6. 40%
  7. 5%
  8. 30
  9. 20%
  10. 25%
  11. ₹1044
  12. ₹1568
  13. 72
  14. 5%
  15. ₹370
  16. 10%
  17. 160
  18. 495
  19. 40%
  20. 10%
  21. 8
  22. ₹852
  23. 5%
  24. 150
  25. 30%
  26. 5%
  27. 50%
  28. 72
  29. 5%
  30. ₹918
  31. 15%
  32. 90
  33. 90
  34. 108
  35. 435
  36. ₹558
  37. ₹384
  38. 136
  39. 25%
  40. 30%

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