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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 97 · 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.What is 10% of 400? (a) 40 (b) 360 (c) 400 (d) 80
  2. 2.A shopkeeper buys a toy for ₹580 and sells it for ₹464. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  3. 3.What is 40% of 100? (a) 80 (b) 40 (c) 400 (d) 60
  4. 4.A bag marked ₹600 is sold at a 20% discount. What is its selling price? (a) ₹720 (b) ₹580 (c) ₹120 (d) ₹480
  5. 5.A bag marked ₹1000 is sold at a 25% discount. What is its selling price? (a) ₹975 (b) ₹250 (c) ₹1250 (d) ₹750
  6. 6.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 28% (b) 5% (c) 15% (d) 10%
  7. 7.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 10% (b) 5% (c) 45% (d) 6%
  8. 8.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 44% (b) 6% (c) 5% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
  10. 10.What is 25% of 500? (a) 375 (b) 250 (c) 1250 (d) 125
  11. 11.What is 20% of 100? (a) 200 (b) 80 (c) 20 (d) 40
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 20%
  13. 13.A shopkeeper buys a toy for ₹460 and sells it for ₹690. What is his profit percent? (a) 45% (b) 51% (c) 55% (d) 50%
  14. 14.A bag marked ₹1700 is sold at a 30% discount. What is its selling price? (a) ₹2210 (b) ₹1190 (c) ₹510 (d) ₹1670
  15. 15.What is 5% of 200? (a) 190 (b) 100 (c) 20 (d) 10
  16. 16.A shopkeeper buys a toy for ₹840 and sells it for ₹756. What is his loss percent? (a) 84% (b) 15% (c) 5% (d) 10%
  17. 17.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 55% (b) 50% (c) 45% (d) 51%
  18. 18.A bag marked ₹1580 is sold at a 20% discount. What is its selling price? (a) ₹1560 (b) ₹1896 (c) ₹316 (d) ₹1264
  19. 19.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 5% (b) 16% (c) 6% (d) 10%
  20. 20.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  21. 21.A shopkeeper buys a toy for ₹560 and sells it for ₹336. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  22. 22.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 60% (b) 55% (c) 45% (d) 50%
  23. 23.A shopkeeper buys a toy for ₹280 and sells it for ₹420. What is his profit percent? (a) 55% (b) 51% (c) 50% (d) 45%
  24. 24.A bag marked ₹1940 is sold at a 10% discount. What is its selling price? (a) ₹194 (b) ₹1746 (c) ₹2134 (d) ₹1930
  25. 25.A shopkeeper buys a toy for ₹540 and sells it for ₹432. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  26. 26.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  27. 27.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 15% (b) 10% (c) 24% (d) 20%
  28. 28.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  29. 29.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 15% (b) 5% (c) 68% (d) 10%
  30. 30.A shopkeeper buys a toy for ₹400 and sells it for ₹440. What is his profit percent? (a) 40% (b) 15% (c) 5% (d) 10%
  31. 31.What is 15% of 200? (a) 60 (b) 170 (c) 30 (d) 300
  32. 32.A bag marked ₹600 is sold at a 40% discount. What is its selling price? (a) ₹240 (b) ₹360 (c) ₹840 (d) ₹560
  33. 33.A bag marked ₹1440 is sold at a 15% discount. What is its selling price? (a) ₹216 (b) ₹1425 (c) ₹1656 (d) ₹1224
  34. 34.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 82% (b) 15% (c) 5% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹720 and sells it for ₹900. What is his profit percent? (a) 26% (b) 30% (c) 20% (d) 25%
  36. 36.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 10% (b) 15% (c) 16% (d) 20%
  37. 37.What is 75% of 660? (a) 4950 (b) 990 (c) 165 (d) 495
  38. 38.What is 30% of 240? (a) 72 (b) 720 (c) 144 (d) 168
  39. 39.A shopkeeper buys a toy for ₹180 and sells it for ₹189. What is his profit percent? (a) 5% (b) 9% (c) 10% (d) 6%
  40. 40.A shopkeeper buys a toy for ₹720 and sells it for ₹864. What is his profit percent? (a) 20% (b) 15% (c) 21% (d) 25%

Answer key

  1. 40
  2. 20%
  3. 40
  4. ₹480
  5. ₹750
  6. 10%
  7. 5%
  8. 5%
  9. 20%
  10. 125
  11. 20
  12. 10%
  13. 50%
  14. ₹1190
  15. 10
  16. 10%
  17. 50%
  18. ₹1264
  19. 5%
  20. 50%
  21. 40%
  22. 50%
  23. 50%
  24. ₹1746
  25. 20%
  26. 40%
  27. 15%
  28. 50%
  29. 10%
  30. 10%
  31. 30
  32. ₹360
  33. ₹1224
  34. 10%
  35. 25%
  36. 15%
  37. 495
  38. 72
  39. 5%
  40. 20%

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