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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 123 · 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 ₹160. What is his loss percent? (a) 15% (b) 20% (c) 40% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  3. 3.A shopkeeper buys a toy for ₹340 and sells it for ₹408. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 68%
  4. 4.A shopkeeper buys a toy for ₹100 and sells it for ₹95. What is his loss percent? (a) 6% (b) 5% (c) 4% (d) 10%
  5. 5.A shopkeeper buys a toy for ₹600 and sells it for ₹570. What is his loss percent? (a) 30% (b) 10% (c) 6% (d) 5%
  6. 6.A bag marked ₹240 is sold at a 15% discount. What is its selling price? (a) ₹36 (b) ₹276 (c) ₹204 (d) ₹225
  7. 7.What is 5% of 400? (a) 380 (b) 20 (c) 40 (d) 200
  8. 8.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 10% (b) 5% (c) 6% (d) 30%
  9. 9.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 10% (b) 38% (c) 15% (d) 5%
  10. 10.A bag marked ₹1360 is sold at a 30% discount. What is its selling price? (a) ₹1768 (b) ₹952 (c) ₹408 (d) ₹1330
  11. 11.A shopkeeper buys a toy for ₹780 and sells it for ₹975. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  12. 12.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  13. 13.What is 15% of 1000? (a) 150 (b) 300 (c) 850 (d) 1500
  14. 14.A shopkeeper buys a toy for ₹860 and sells it for ₹1118. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  15. 15.What is 60% of 360? (a) 2160 (b) 432 (c) 144 (d) 216
  16. 16.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 15% (b) 20% (c) 24% (d) 10%
  17. 17.A bag marked ₹1780 is sold at a 20% discount. What is its selling price? (a) ₹356 (b) ₹1760 (c) ₹1424 (d) ₹2136
  18. 18.A shopkeeper buys a toy for ₹120 and sells it for ₹90. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  19. 19.A shopkeeper buys a toy for ₹380 and sells it for ₹285. What is his loss percent? (a) 25% (b) 30% (c) 95% (d) 20%
  20. 20.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹552 (b) ₹72 (c) ₹465 (d) ₹408
  21. 21.A bag marked ₹420 is sold at a 30% discount. What is its selling price? (a) ₹294 (b) ₹390 (c) ₹546 (d) ₹126
  22. 22.What is 20% of 540? (a) 1080 (b) 432 (c) 216 (d) 108
  23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 18%
  24. 24.A bag marked ₹1940 is sold at a 50% discount. What is its selling price? (a) ₹971 (b) ₹1890 (c) ₹2910 (d) ₹970
  25. 25.A shopkeeper buys a toy for ₹780 and sells it for ₹702. What is his loss percent? (a) 78% (b) 15% (c) 5% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹460 and sells it for ₹437. What is his loss percent? (a) 23% (b) 5% (c) 6% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  28. 28.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 56%
  29. 29.A shopkeeper buys a toy for ₹340 and sells it for ₹476. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  30. 30.A shopkeeper buys a toy for ₹1000 and sells it for ₹1150. What is his profit percent? (a) 15% (b) 20% (c) 16% (d) 10%
  31. 31.A shopkeeper buys a toy for ₹140 and sells it for ₹112. What is his loss percent? (a) 28% (b) 25% (c) 20% (d) 15%
  32. 32.What is 25% of 940? (a) 705 (b) 470 (c) 2350 (d) 235
  33. 33.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 20% (b) 52% (c) 25% (d) 15%
  34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 56% (b) 15% (c) 20% (d) 25%
  35. 35.What is 5% of 920? (a) 460 (b) 874 (c) 92 (d) 46
  36. 36.A shopkeeper buys a toy for ₹660 and sells it for ₹594. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 66%
  37. 37.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 11% (b) 5% (c) 10% (d) 6%
  38. 38.A shopkeeper buys a toy for ₹100 and sells it for ₹75. What is his loss percent? (a) 25% (b) 20% (c) 30% (d) 26%
  39. 39.A shopkeeper buys a toy for ₹1000 and sells it for ₹1400. What is his profit percent? (a) 45% (b) 41% (c) 35% (d) 40%
  40. 40.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 30% (b) 20% (c) 25% (d) 26%

Answer key

  1. 20%
  2. 50%
  3. 20%
  4. 5%
  5. 5%
  6. ₹204
  7. 20
  8. 5%
  9. 10%
  10. ₹952
  11. 25%
  12. 30%
  13. 150
  14. 30%
  15. 216
  16. 15%
  17. ₹1424
  18. 25%
  19. 25%
  20. ₹408
  21. ₹294
  22. 108
  23. 5%
  24. ₹970
  25. 10%
  26. 5%
  27. 30%
  28. 10%
  29. 40%
  30. 15%
  31. 20%
  32. 235
  33. 20%
  34. 20%
  35. 46
  36. 10%
  37. 5%
  38. 25%
  39. 40%
  40. 25%

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