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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 115 · 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 ₹140 and sells it for ₹196. What is his profit percent? (a) 40% (b) 35% (c) 56% (d) 45%
  2. 2.What is 10% of 300? (a) 300 (b) 60 (c) 270 (d) 30
  3. 3.A shopkeeper buys a toy for ₹620 and sells it for ₹372. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  4. 4.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 16%
  5. 5.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 6% (b) 10% (c) 5% (d) 12%
  6. 6.A shopkeeper buys a toy for ₹740 and sells it for ₹444. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  7. 7.A shopkeeper buys a toy for ₹540 and sells it for ₹702. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  8. 8.A shopkeeper buys a toy for ₹860 and sells it for ₹946. What is his profit percent? (a) 86% (b) 10% (c) 5% (d) 15%
  9. 9.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%
  10. 10.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 35% (b) 31% (c) 30% (d) 25%
  11. 11.What is 10% of 460? (a) 92 (b) 460 (c) 414 (d) 46
  12. 12.A bag marked ₹420 is sold at a 10% discount. What is its selling price? (a) ₹42 (b) ₹410 (c) ₹378 (d) ₹462
  13. 13.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  14. 14.A shopkeeper buys a toy for ₹560 and sells it for ₹588. What is his profit percent? (a) 6% (b) 10% (c) 28% (d) 5%
  15. 15.A bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹330 (b) ₹415 (c) ₹550 (d) ₹110
  16. 16.A bag marked ₹1220 is sold at a 15% discount. What is its selling price? (a) ₹1403 (b) ₹1205 (c) ₹183 (d) ₹1037
  17. 17.A shopkeeper buys a toy for ₹320 and sells it for ₹272. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 48%
  18. 18.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 6% (b) 10% (c) 21% (d) 5%
  19. 19.A bag marked ₹1980 is sold at a 40% discount. What is its selling price? (a) ₹1940 (b) ₹1188 (c) ₹792 (d) ₹2772
  20. 20.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 24%
  21. 21.What is 5% of 840? (a) 420 (b) 42 (c) 798 (d) 84
  22. 22.What is 50% of 200? (a) 1000 (b) 100 (c) 200 (d) 101
  23. 23.A shopkeeper buys a toy for ₹260 and sells it for ₹390. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  24. 24.A shopkeeper buys a toy for ₹320 and sells it for ₹192. What is his loss percent? (a) 35% (b) 41% (c) 40% (d) 45%
  25. 25.What is 25% of 360? (a) 180 (b) 900 (c) 270 (d) 90
  26. 26.A bag marked ₹640 is sold at a 10% discount. What is its selling price? (a) ₹64 (b) ₹704 (c) ₹576 (d) ₹630
  27. 27.What is 60% of 740? (a) 888 (b) 444 (c) 296 (d) 4440
  28. 28.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 10% (b) 15% (c) 75% (d) 20%
  29. 29.A shopkeeper buys a toy for ₹240 and sells it for ₹360. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  30. 30.A shopkeeper buys a toy for ₹920 and sells it for ₹690. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  31. 31.A shopkeeper buys a toy for ₹540 and sells it for ₹756. What is his profit percent? (a) 41% (b) 40% (c) 45% (d) 35%
  32. 32.A shopkeeper buys a toy for ₹660 and sells it for ₹792. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  33. 33.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  34. 34.A bag marked ₹1420 is sold at a 15% discount. What is its selling price? (a) ₹1405 (b) ₹1633 (c) ₹213 (d) ₹1207
  35. 35.What is 20% of 120? (a) 96 (b) 48 (c) 240 (d) 24
  36. 36.A bag marked ₹2000 is sold at a 25% discount. What is its selling price? (a) ₹1975 (b) ₹500 (c) ₹1500 (d) ₹2500
  37. 37.A bag marked ₹360 is sold at a 30% discount. What is its selling price? (a) ₹468 (b) ₹330 (c) ₹252 (d) ₹108
  38. 38.What is 75% of 540? (a) 4050 (b) 405 (c) 810 (d) 135
  39. 39.What is 15% of 40? (a) 12 (b) 34 (c) 6 (d) 60
  40. 40.A shopkeeper buys a toy for ₹360 and sells it for ₹252. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%

Answer key

  1. 40%
  2. 30
  3. 40%
  4. 15%
  5. 5%
  6. 40%
  7. 30%
  8. 10%
  9. 10%
  10. 30%
  11. 46
  12. ₹378
  13. 20%
  14. 5%
  15. ₹330
  16. ₹1037
  17. 15%
  18. 5%
  19. ₹1188
  20. 15%
  21. 42
  22. 100
  23. 50%
  24. 40%
  25. 90
  26. ₹576
  27. 444
  28. 15%
  29. 50%
  30. 25%
  31. 40%
  32. 20%
  33. 20%
  34. ₹1207
  35. 24
  36. ₹1500
  37. ₹252
  38. 405
  39. 6
  40. 30%

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