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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 769 · 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 ₹114. What is his loss percent? (a) 5% (b) 4% (c) 6% (d) 10%
  2. 2.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 5% (b) 10% (c) 56% (d) 15%
  3. 3.A shopkeeper buys a toy for ₹400 and sells it for ₹360. What is his loss percent? (a) 40% (b) 10% (c) 15% (d) 5%
  4. 4.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹305 (b) ₹48 (c) ₹272 (d) ₹368
  5. 5.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹1976 (b) ₹1064 (c) ₹1490 (d) ₹456
  6. 6.What is 60% of 260? (a) 156 (b) 1560 (c) 104 (d) 312
  7. 7.What is 30% of 660? (a) 396 (b) 462 (c) 1980 (d) 198
  8. 8.What is 20% of 540? (a) 432 (b) 216 (c) 1080 (d) 108
  9. 9.What is 50% of 200? (a) 1000 (b) 200 (c) 101 (d) 100
  10. 10.A shopkeeper buys a toy for ₹960 and sells it for ₹1152. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 21%
  11. 11.What is 60% of 80? (a) 480 (b) 32 (c) 48 (d) 96
  12. 12.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 80% (b) 30% (c) 25% (d) 20%
  13. 13.A shopkeeper buys a toy for ₹220 and sells it for ₹165. What is his loss percent? (a) 55% (b) 30% (c) 20% (d) 25%
  14. 14.A shopkeeper buys a toy for ₹480 and sells it for ₹336. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  15. 15.A shopkeeper buys a toy for ₹600 and sells it for ₹750. What is his profit percent? (a) 20% (b) 26% (c) 25% (d) 30%
  16. 16.A bag marked ₹540 is sold at a 40% discount. What is its selling price? (a) ₹500 (b) ₹756 (c) ₹324 (d) ₹216
  17. 17.A bag marked ₹1740 is sold at a 15% discount. What is its selling price? (a) ₹2001 (b) ₹1725 (c) ₹1479 (d) ₹261
  18. 18.A shopkeeper buys a toy for ₹240 and sells it for ₹228. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 12%
  19. 19.A shopkeeper buys a toy for ₹240 and sells it for ₹276. What is his profit percent? (a) 36% (b) 15% (c) 10% (d) 20%
  20. 20.What is 50% of 360? (a) 181 (b) 1800 (c) 360 (d) 180
  21. 21.A shopkeeper buys a toy for ₹120 and sells it for ₹84. What is his loss percent? (a) 30% (b) 35% (c) 36% (d) 25%
  22. 22.What is 5% of 680? (a) 34 (b) 646 (c) 68 (d) 340
  23. 23.A shopkeeper buys a toy for ₹700 and sells it for ₹525. What is his loss percent? (a) 26% (b) 30% (c) 20% (d) 25%
  24. 24.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 66% (b) 10% (c) 20% (d) 15%
  25. 25.What is 15% of 140? (a) 119 (b) 21 (c) 210 (d) 42
  26. 26.What is 15% of 1000? (a) 850 (b) 150 (c) 300 (d) 1500
  27. 27.A bag marked ₹660 is sold at a 15% discount. What is its selling price? (a) ₹561 (b) ₹99 (c) ₹759 (d) ₹645
  28. 28.A shopkeeper buys a toy for ₹200 and sells it for ₹260. What is his profit percent? (a) 60% (b) 35% (c) 30% (d) 25%
  29. 29.A shopkeeper buys a toy for ₹620 and sells it for ₹651. What is his profit percent? (a) 6% (b) 31% (c) 5% (d) 10%
  30. 30.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 15% (b) 25% (c) 21% (d) 20%
  31. 31.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  32. 32.A bag marked ₹1060 is sold at a 50% discount. What is its selling price? (a) ₹530 (b) ₹1010 (c) ₹1590 (d) ₹531
  33. 33.A bag marked ₹1320 is sold at a 15% discount. What is its selling price? (a) ₹198 (b) ₹1305 (c) ₹1122 (d) ₹1518
  34. 34.What is 75% of 60? (a) 450 (b) 15 (c) 45 (d) 90
  35. 35.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 51% (b) 45% (c) 55% (d) 50%
  36. 36.A shopkeeper buys a toy for ₹400 and sells it for ₹300. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  37. 37.A bag marked ₹340 is sold at a 20% discount. What is its selling price? (a) ₹320 (b) ₹408 (c) ₹68 (d) ₹272
  38. 38.A shopkeeper buys a toy for ₹240 and sells it for ₹180. What is his loss percent? (a) 20% (b) 60% (c) 25% (d) 30%
  39. 39.A shopkeeper buys a toy for ₹860 and sells it for ₹989. What is his profit percent? (a) 15% (b) 16% (c) 10% (d) 20%
  40. 40.What is 10% of 780? (a) 702 (b) 78 (c) 156 (d) 780

Answer key

  1. 5%
  2. 10%
  3. 10%
  4. ₹272
  5. ₹1064
  6. 156
  7. 198
  8. 108
  9. 100
  10. 20%
  11. 48
  12. 25%
  13. 25%
  14. 30%
  15. 25%
  16. ₹324
  17. ₹1479
  18. 5%
  19. 15%
  20. 180
  21. 30%
  22. 34
  23. 25%
  24. 15%
  25. 21
  26. 150
  27. ₹561
  28. 30%
  29. 5%
  30. 20%
  31. 30%
  32. ₹530
  33. ₹1122
  34. 45
  35. 50%
  36. 25%
  37. ₹272
  38. 25%
  39. 15%
  40. 78

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