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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 897 · 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 ₹480 is sold at a 50% discount. What is its selling price? (a) ₹241 (b) ₹240 (c) ₹430 (d) ₹720
  2. 2.A shopkeeper buys a toy for ₹860 and sells it for ₹645. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  3. 3.A bag marked ₹1940 is sold at a 20% discount. What is its selling price? (a) ₹1552 (b) ₹1920 (c) ₹388 (d) ₹2328
  4. 4.A shopkeeper buys a toy for ₹280 and sells it for ₹294. What is his profit percent? (a) 6% (b) 10% (c) 14% (d) 5%
  5. 5.A shopkeeper buys a toy for ₹1000 and sells it for ₹1100. What is his profit percent? (a) 5% (b) 10% (c) 11% (d) 15%
  6. 6.A bag marked ₹1940 is sold at a 10% discount. What is its selling price? (a) ₹194 (b) ₹1746 (c) ₹1930 (d) ₹2134
  7. 7.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 26% (b) 30% (c) 25% (d) 20%
  8. 8.What is 15% of 360? (a) 540 (b) 54 (c) 306 (d) 108
  9. 9.What is 60% of 100? (a) 600 (b) 120 (c) 60 (d) 40
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹168. What is his loss percent? (a) 35% (b) 45% (c) 40% (d) 41%
  11. 11.A shopkeeper buys a toy for ₹200 and sells it for ₹140. What is his loss percent? (a) 25% (b) 35% (c) 60% (d) 30%
  12. 12.A shopkeeper buys a toy for ₹880 and sells it for ₹616. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  13. 13.What is 25% of 160? (a) 120 (b) 80 (c) 400 (d) 40
  14. 14.A shopkeeper buys a toy for ₹700 and sells it for ₹490. What is his loss percent? (a) 25% (b) 31% (c) 30% (d) 35%
  15. 15.A shopkeeper buys a toy for ₹800 and sells it for ₹640. What is his loss percent? (a) 15% (b) 21% (c) 20% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹460 and sells it for ₹506. What is his profit percent? (a) 10% (b) 5% (c) 46% (d) 15%
  17. 17.What is 5% of 660? (a) 66 (b) 33 (c) 627 (d) 330
  18. 18.What is 10% of 660? (a) 660 (b) 132 (c) 594 (d) 66
  19. 19.A shopkeeper buys a toy for ₹100 and sells it for ₹105. What is his profit percent? (a) 10% (b) 6% (c) 4% (d) 5%
  20. 20.A shopkeeper buys a toy for ₹280 and sells it for ₹322. What is his profit percent? (a) 42% (b) 15% (c) 10% (d) 20%
  21. 21.What is 25% of 620? (a) 1550 (b) 465 (c) 310 (d) 155
  22. 22.What is 15% of 1000? (a) 850 (b) 1500 (c) 300 (d) 150
  23. 23.A shopkeeper buys a toy for ₹900 and sells it for ₹1350. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  24. 24.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 40%
  25. 25.A shopkeeper buys a toy for ₹840 and sells it for ₹630. What is his loss percent? (a) 30% (b) 25% (c) 26% (d) 20%
  26. 26.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 5% (b) 15% (c) 16% (d) 10%
  27. 27.A bag marked ₹1820 is sold at a 50% discount. What is its selling price? (a) ₹910 (b) ₹911 (c) ₹2730 (d) ₹1770
  28. 28.A bag marked ₹760 is sold at a 10% discount. What is its selling price? (a) ₹750 (b) ₹836 (c) ₹684 (d) ₹76
  29. 29.A bag marked ₹1020 is sold at a 20% discount. What is its selling price? (a) ₹816 (b) ₹1224 (c) ₹1000 (d) ₹204
  30. 30.What is 60% of 320? (a) 384 (b) 128 (c) 1920 (d) 192
  31. 31.A bag marked ₹300 is sold at a 30% discount. What is its selling price? (a) ₹390 (b) ₹270 (c) ₹210 (d) ₹90
  32. 32.What is 60% of 240? (a) 144 (b) 288 (c) 1440 (d) 96
  33. 33.What is 75% of 100? (a) 150 (b) 25 (c) 75 (d) 750
  34. 34.A bag marked ₹1040 is sold at a 10% discount. What is its selling price? (a) ₹936 (b) ₹104 (c) ₹1144 (d) ₹1030
  35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 15% (b) 10% (c) 5% (d) 6%
  36. 36.A shopkeeper buys a toy for ₹440 and sells it for ₹550. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
  37. 37.A shopkeeper buys a toy for ₹300 and sells it for ₹375. What is his profit percent? (a) 75% (b) 30% (c) 20% (d) 25%
  38. 38.What is 20% of 80? (a) 32 (b) 64 (c) 16 (d) 160
  39. 39.A shopkeeper buys a toy for ₹560 and sells it for ₹532. What is his loss percent? (a) 6% (b) 28% (c) 10% (d) 5%
  40. 40.A shopkeeper buys a toy for ₹360 and sells it for ₹306. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 54%

Answer key

  1. ₹240
  2. 25%
  3. ₹1552
  4. 5%
  5. 10%
  6. ₹1746
  7. 25%
  8. 54
  9. 60
  10. 40%
  11. 30%
  12. 30%
  13. 40
  14. 30%
  15. 20%
  16. 10%
  17. 33
  18. 66
  19. 5%
  20. 15%
  21. 155
  22. 150
  23. 50%
  24. 5%
  25. 25%
  26. 10%
  27. ₹910
  28. ₹684
  29. ₹816
  30. 192
  31. ₹210
  32. 144
  33. 75
  34. ₹936
  35. 5%
  36. 25%
  37. 25%
  38. 16
  39. 5%
  40. 15%

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