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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 132 · 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 ₹820 and sells it for ₹738. What is his loss percent? (a) 10% (b) 15% (c) 82% (d) 5%
  2. 2.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 20%
  3. 3.What is 10% of 720? (a) 144 (b) 648 (c) 72 (d) 720
  4. 4.What is 10% of 380? (a) 342 (b) 76 (c) 380 (d) 38
  5. 5.A shopkeeper buys a toy for ₹300 and sells it for ₹210. What is his loss percent? (a) 90% (b) 25% (c) 35% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹760 and sells it for ₹874. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹860 and sells it for ₹903. What is his profit percent? (a) 10% (b) 5% (c) 43% (d) 6%
  8. 8.A shopkeeper buys a toy for ₹820 and sells it for ₹615. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
  9. 9.What is 40% of 320? (a) 128 (b) 1280 (c) 192 (d) 256
  10. 10.A shopkeeper buys a toy for ₹220 and sells it for ₹275. What is his profit percent? (a) 25% (b) 30% (c) 55% (d) 20%
  11. 11.A shopkeeper buys a toy for ₹680 and sells it for ₹510. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  12. 12.A shopkeeper buys a toy for ₹140 and sells it for ₹182. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 42%
  13. 13.A bag marked ₹1800 is sold at a 50% discount. What is its selling price? (a) ₹900 (b) ₹2700 (c) ₹901 (d) ₹1750
  14. 14.A shopkeeper buys a toy for ₹940 and sells it for ₹799. What is his loss percent? (a) 10% (b) 16% (c) 15% (d) 20%
  15. 15.A bag marked ₹720 is sold at a 15% discount. What is its selling price? (a) ₹612 (b) ₹108 (c) ₹705 (d) ₹828
  16. 16.A bag marked ₹1680 is sold at a 25% discount. What is its selling price? (a) ₹420 (b) ₹2100 (c) ₹1260 (d) ₹1655
  17. 17.A shopkeeper buys a toy for ₹280 and sells it for ₹392. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  18. 18.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 60% (b) 5% (c) 15% (d) 10%
  19. 19.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 5% (b) 10% (c) 38% (d) 15%
  20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹504. What is his profit percent? (a) 5% (b) 10% (c) 24% (d) 6%
  21. 21.What is 30% of 620? (a) 1860 (b) 372 (c) 434 (d) 186
  22. 22.What is 30% of 980? (a) 294 (b) 2940 (c) 686 (d) 588
  23. 23.What is 60% of 400? (a) 240 (b) 160 (c) 2400 (d) 480
  24. 24.A shopkeeper buys a toy for ₹460 and sells it for ₹598. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  25. 25.A shopkeeper buys a toy for ₹120 and sells it for ₹138. What is his profit percent? (a) 18% (b) 10% (c) 20% (d) 15%
  26. 26.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 24%
  27. 27.A shopkeeper buys a toy for ₹440 and sells it for ₹616. What is his profit percent? (a) 40% (b) 35% (c) 41% (d) 45%
  28. 28.What is 25% of 940? (a) 470 (b) 705 (c) 235 (d) 2350
  29. 29.A bag marked ₹1100 is sold at a 40% discount. What is its selling price? (a) ₹440 (b) ₹1060 (c) ₹660 (d) ₹1540
  30. 30.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹48 (b) ₹305 (c) ₹272 (d) ₹368
  31. 31.A shopkeeper buys a toy for ₹700 and sells it for ₹1050. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  32. 32.What is 15% of 720? (a) 108 (b) 216 (c) 612 (d) 1080
  33. 33.A shopkeeper buys a toy for ₹380 and sells it for ₹323. What is his loss percent? (a) 57% (b) 20% (c) 10% (d) 15%
  34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹210. What is his loss percent? (a) 70% (b) 30% (c) 20% (d) 25%
  35. 35.A shopkeeper buys a toy for ₹500 and sells it for ₹375. What is his loss percent? (a) 25% (b) 20% (c) 26% (d) 30%
  36. 36.What is 5% of 980? (a) 49 (b) 98 (c) 490 (d) 931
  37. 37.A shopkeeper buys a toy for ₹240 and sells it for ₹204. What is his loss percent? (a) 20% (b) 15% (c) 36% (d) 10%
  38. 38.A shopkeeper buys a toy for ₹700 and sells it for ₹560. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  39. 39.A bag marked ₹1520 is sold at a 20% discount. What is its selling price? (a) ₹1500 (b) ₹304 (c) ₹1824 (d) ₹1216
  40. 40.A shopkeeper buys a toy for ₹420 and sells it for ₹357. What is his loss percent? (a) 20% (b) 63% (c) 10% (d) 15%

Answer key

  1. 10%
  2. 10%
  3. 72
  4. 38
  5. 30%
  6. 15%
  7. 5%
  8. 25%
  9. 128
  10. 25%
  11. 25%
  12. 30%
  13. ₹900
  14. 15%
  15. ₹612
  16. ₹1260
  17. 40%
  18. 10%
  19. 10%
  20. 5%
  21. 186
  22. 294
  23. 240
  24. 30%
  25. 15%
  26. 10%
  27. 40%
  28. 235
  29. ₹660
  30. ₹272
  31. 50%
  32. 108
  33. 15%
  34. 25%
  35. 25%
  36. 49
  37. 15%
  38. 20%
  39. ₹1216
  40. 15%

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