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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 401 · 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 bag marked ₹1900 is sold at a 20% discount. What is its selling price? (a) ₹1520 (b) ₹2280 (c) ₹1880 (d) ₹380
  2. 2.A bag marked ₹1000 is sold at a 15% discount. What is its selling price? (a) ₹150 (b) ₹850 (c) ₹985 (d) ₹1150
  3. 3.A shopkeeper buys a toy for ₹300 and sells it for ₹285. What is his loss percent? (a) 6% (b) 10% (c) 15% (d) 5%
  4. 4.A shopkeeper buys a toy for ₹680 and sells it for ₹510. What is his loss percent? (a) 20% (b) 26% (c) 25% (d) 30%
  5. 5.A shopkeeper buys a toy for ₹740 and sells it for ₹851. What is his profit percent? (a) 10% (b) 16% (c) 20% (d) 15%
  6. 6.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 21% (b) 25% (c) 20% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹720 and sells it for ₹648. What is his loss percent? (a) 72% (b) 10% (c) 15% (d) 5%
  8. 8.A shopkeeper buys a toy for ₹120 and sells it for ₹180. What is his profit percent? (a) 55% (b) 60% (c) 45% (d) 50%
  9. 9.A shopkeeper buys a toy for ₹120 and sells it for ₹144. What is his profit percent? (a) 20% (b) 15% (c) 24% (d) 25%
  10. 10.A shopkeeper buys a toy for ₹920 and sells it for ₹552. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  11. 11.A bag marked ₹1980 is sold at a 10% discount. What is its selling price? (a) ₹1782 (b) ₹2178 (c) ₹1970 (d) ₹198
  12. 12.What is 15% of 520? (a) 780 (b) 78 (c) 156 (d) 442
  13. 13.A shopkeeper buys a toy for ₹760 and sells it for ₹988. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  14. 14.A bag marked ₹420 is sold at a 25% discount. What is its selling price? (a) ₹525 (b) ₹105 (c) ₹315 (d) ₹395
  15. 15.A shopkeeper buys a toy for ₹180 and sells it for ₹234. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 54%
  16. 16.A bag marked ₹1860 is sold at a 20% discount. What is its selling price? (a) ₹1840 (b) ₹2232 (c) ₹372 (d) ₹1488
  17. 17.A shopkeeper buys a toy for ₹100 and sells it for ₹60. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%
  18. 18.What is 25% of 700? (a) 525 (b) 1750 (c) 175 (d) 350
  19. 19.A bag marked ₹1160 is sold at a 10% discount. What is its selling price? (a) ₹1150 (b) ₹116 (c) ₹1276 (d) ₹1044
  20. 20.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 30% (b) 31% (c) 25% (d) 35%
  21. 21.A shopkeeper buys a toy for ₹760 and sells it for ₹836. What is his profit percent? (a) 5% (b) 76% (c) 10% (d) 15%
  22. 22.What is 5% of 80? (a) 40 (b) 76 (c) 4 (d) 8
  23. 23.A shopkeeper buys a toy for ₹340 and sells it for ₹323. What is his loss percent? (a) 17% (b) 6% (c) 10% (d) 5%
  24. 24.A bag marked ₹560 is sold at a 25% discount. What is its selling price? (a) ₹535 (b) ₹700 (c) ₹420 (d) ₹140
  25. 25.What is 20% of 620? (a) 1240 (b) 496 (c) 124 (d) 248
  26. 26.A shopkeeper buys a toy for ₹580 and sells it for ₹522. What is his loss percent? (a) 5% (b) 10% (c) 58% (d) 15%
  27. 27.A bag marked ₹1560 is sold at a 20% discount. What is its selling price? (a) ₹1872 (b) ₹312 (c) ₹1248 (d) ₹1540
  28. 28.What is 20% of 140? (a) 280 (b) 56 (c) 28 (d) 112
  29. 29.What is 50% of 100? (a) 50 (b) 100 (c) 500 (d) 51
  30. 30.A shopkeeper buys a toy for ₹440 and sells it for ₹418. What is his loss percent? (a) 10% (b) 6% (c) 5% (d) 22%
  31. 31.A shopkeeper buys a toy for ₹320 and sells it for ₹288. What is his loss percent? (a) 32% (b) 15% (c) 5% (d) 10%
  32. 32.A shopkeeper buys a toy for ₹820 and sells it for ₹1066. What is his profit percent? (a) 25% (b) 35% (c) 30% (d) 31%
  33. 33.What is 5% of 720? (a) 72 (b) 684 (c) 36 (d) 360
  34. 34.A bag marked ₹280 is sold at a 30% discount. What is its selling price? (a) ₹364 (b) ₹250 (c) ₹84 (d) ₹196
  35. 35.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 66% (b) 10% (c) 5% (d) 15%
  36. 36.A shopkeeper buys a toy for ₹480 and sells it for ₹360. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
  37. 37.A bag marked ₹1520 is sold at a 30% discount. What is its selling price? (a) ₹1976 (b) ₹456 (c) ₹1490 (d) ₹1064
  38. 38.What is 15% of 260? (a) 390 (b) 221 (c) 78 (d) 39
  39. 39.A shopkeeper buys a toy for ₹800 and sells it for ₹880. What is his profit percent? (a) 5% (b) 10% (c) 80% (d) 15%
  40. 40.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 45% (b) 40% (c) 41% (d) 35%

Answer key

  1. ₹1520
  2. ₹850
  3. 5%
  4. 25%
  5. 15%
  6. 20%
  7. 10%
  8. 50%
  9. 20%
  10. 40%
  11. ₹1782
  12. 78
  13. 30%
  14. ₹315
  15. 30%
  16. ₹1488
  17. 40%
  18. 175
  19. ₹1044
  20. 30%
  21. 10%
  22. 4
  23. 5%
  24. ₹420
  25. 124
  26. 10%
  27. ₹1248
  28. 28
  29. 50
  30. 5%
  31. 10%
  32. 30%
  33. 36
  34. ₹196
  35. 10%
  36. 25%
  37. ₹1064
  38. 39
  39. 10%
  40. 40%

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