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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 875 · 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 ₹120 and sells it for ₹156. What is his profit percent? (a) 36% (b) 35% (c) 30% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 10% (b) 13% (c) 6% (d) 5%
  3. 3.A shopkeeper buys a toy for ₹960 and sells it for ₹1440. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  4. 4.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  5. 5.A bag marked ₹1860 is sold at a 10% discount. What is its selling price? (a) ₹2046 (b) ₹186 (c) ₹1674 (d) ₹1850
  6. 6.A shopkeeper buys a toy for ₹160 and sells it for ₹120. What is his loss percent? (a) 20% (b) 40% (c) 25% (d) 30%
  7. 7.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹32 (b) ₹310 (c) ₹288 (d) ₹352
  8. 8.What is 30% of 760? (a) 456 (b) 532 (c) 228 (d) 2280
  9. 9.What is 5% of 880? (a) 88 (b) 44 (c) 440 (d) 836
  10. 10.A bag marked ₹1660 is sold at a 50% discount. What is its selling price? (a) ₹1610 (b) ₹830 (c) ₹831 (d) ₹2490
  11. 11.What is 30% of 280? (a) 168 (b) 196 (c) 84 (d) 840
  12. 12.A shopkeeper buys a toy for ₹760 and sells it for ₹684. What is his loss percent? (a) 10% (b) 76% (c) 5% (d) 15%
  13. 13.A bag marked ₹1600 is sold at a 25% discount. What is its selling price? (a) ₹400 (b) ₹2000 (c) ₹1575 (d) ₹1200
  14. 14.A bag marked ₹460 is sold at a 20% discount. What is its selling price? (a) ₹368 (b) ₹440 (c) ₹552 (d) ₹92
  15. 15.What is 50% of 580? (a) 290 (b) 580 (c) 291 (d) 2900
  16. 16.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 5% (b) 15% (c) 72% (d) 10%
  17. 17.A bag marked ₹1080 is sold at a 30% discount. What is its selling price? (a) ₹1404 (b) ₹324 (c) ₹1050 (d) ₹756
  18. 18.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 16% (b) 20% (c) 10% (d) 15%
  19. 19.A shopkeeper buys a toy for ₹260 and sells it for ₹286. What is his profit percent? (a) 26% (b) 15% (c) 10% (d) 5%
  20. 20.A bag marked ₹1460 is sold at a 15% discount. What is its selling price? (a) ₹1445 (b) ₹219 (c) ₹1679 (d) ₹1241
  21. 21.A shopkeeper buys a toy for ₹740 and sells it for ₹666. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 74%
  22. 22.A shopkeeper buys a toy for ₹680 and sells it for ₹1020. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  23. 23.What is 75% of 340? (a) 510 (b) 85 (c) 255 (d) 2550
  24. 24.What is 60% of 500? (a) 600 (b) 300 (c) 3000 (d) 200
  25. 25.A bag marked ₹1820 is sold at a 30% discount. What is its selling price? (a) ₹2366 (b) ₹1790 (c) ₹1274 (d) ₹546
  26. 26.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 15% (b) 10% (c) 24% (d) 20%
  27. 27.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹800 (b) ₹200 (c) ₹1200 (d) ₹980
  28. 28.A bag marked ₹1100 is sold at a 20% discount. What is its selling price? (a) ₹220 (b) ₹1080 (c) ₹1320 (d) ₹880
  29. 29.A bag marked ₹1300 is sold at a 30% discount. What is its selling price? (a) ₹390 (b) ₹1690 (c) ₹910 (d) ₹1270
  30. 30.A shopkeeper buys a toy for ₹540 and sells it for ₹810. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  31. 31.What is 10% of 140? (a) 14 (b) 140 (c) 28 (d) 126
  32. 32.A bag marked ₹940 is sold at a 50% discount. What is its selling price? (a) ₹890 (b) ₹1410 (c) ₹471 (d) ₹470
  33. 33.A bag marked ₹860 is sold at a 20% discount. What is its selling price? (a) ₹172 (b) ₹840 (c) ₹688 (d) ₹1032
  34. 34.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%
  35. 35.A shopkeeper buys a toy for ₹980 and sells it for ₹588. What is his loss percent? (a) 41% (b) 40% (c) 35% (d) 45%
  36. 36.What is 60% of 540? (a) 3240 (b) 216 (c) 648 (d) 324
  37. 37.A shopkeeper buys a toy for ₹120 and sells it for ₹168. What is his profit percent? (a) 40% (b) 35% (c) 48% (d) 45%
  38. 38.A shopkeeper buys a toy for ₹200 and sells it for ₹240. What is his profit percent? (a) 40% (b) 25% (c) 20% (d) 15%
  39. 39.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  40. 40.What is 10% of 720? (a) 144 (b) 648 (c) 72 (d) 720

Answer key

  1. 30%
  2. 5%
  3. 50%
  4. 50%
  5. ₹1674
  6. 25%
  7. ₹288
  8. 228
  9. 44
  10. ₹830
  11. 84
  12. 10%
  13. ₹1200
  14. ₹368
  15. 290
  16. 10%
  17. ₹756
  18. 15%
  19. 10%
  20. ₹1241
  21. 10%
  22. 50%
  23. 255
  24. 300
  25. ₹1274
  26. 15%
  27. ₹800
  28. ₹880
  29. ₹910
  30. 50%
  31. 14
  32. ₹470
  33. ₹688
  34. 25%
  35. 40%
  36. 324
  37. 40%
  38. 20%
  39. 30%
  40. 72

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