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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 182 · 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 ₹300 is sold at a 15% discount. What is its selling price? (a) ₹285 (b) ₹345 (c) ₹255 (d) ₹45
  2. 2.A bag marked ₹1980 is sold at a 15% discount. What is its selling price? (a) ₹297 (b) ₹2277 (c) ₹1683 (d) ₹1965
  3. 3.A bag marked ₹1180 is sold at a 15% discount. What is its selling price? (a) ₹1357 (b) ₹1165 (c) ₹177 (d) ₹1003
  4. 4.What is 50% of 920? (a) 461 (b) 4600 (c) 920 (d) 460
  5. 5.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 20% (b) 25% (c) 15% (d) 64%
  7. 7.A shopkeeper buys a toy for ₹440 and sells it for ₹506. What is his profit percent? (a) 15% (b) 10% (c) 20% (d) 66%
  8. 8.What is 20% of 560? (a) 224 (b) 112 (c) 448 (d) 1120
  9. 9.A bag marked ₹280 is sold at a 20% discount. What is its selling price? (a) ₹56 (b) ₹224 (c) ₹260 (d) ₹336
  10. 10.A shopkeeper buys a toy for ₹520 and sells it for ₹390. What is his loss percent? (a) 26% (b) 25% (c) 20% (d) 30%
  11. 11.A shopkeeper buys a toy for ₹840 and sells it for ₹1260. What is his profit percent? (a) 50% (b) 55% (c) 51% (d) 45%
  12. 12.A bag marked ₹1960 is sold at a 20% discount. What is its selling price? (a) ₹2352 (b) ₹1940 (c) ₹392 (d) ₹1568
  13. 13.A bag marked ₹680 is sold at a 20% discount. What is its selling price? (a) ₹136 (b) ₹544 (c) ₹816 (d) ₹660
  14. 14.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 10% (b) 30% (c) 20% (d) 15%
  15. 15.What is 10% of 320? (a) 288 (b) 32 (c) 64 (d) 320
  16. 16.A shopkeeper buys a toy for ₹800 and sells it for ₹720. What is his loss percent? (a) 15% (b) 80% (c) 5% (d) 10%
  17. 17.What is 20% of 320? (a) 640 (b) 64 (c) 128 (d) 256
  18. 18.A shopkeeper buys a toy for ₹280 and sells it for ₹168. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
  19. 19.A shopkeeper buys a toy for ₹440 and sells it for ₹572. What is his profit percent? (a) 30% (b) 25% (c) 31% (d) 35%
  20. 20.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 15% (b) 14% (c) 5% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹580 and sells it for ₹522. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 58%
  22. 22.A shopkeeper buys a toy for ₹640 and sells it for ₹800. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  23. 23.What is 40% of 240? (a) 960 (b) 144 (c) 192 (d) 96
  24. 24.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 22% (b) 10% (c) 15% (d) 5%
  25. 25.A bag marked ₹1300 is sold at a 40% discount. What is its selling price? (a) ₹1260 (b) ₹520 (c) ₹1820 (d) ₹780
  26. 26.A shopkeeper buys a toy for ₹800 and sells it for ₹480. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  27. 27.What is 25% of 80? (a) 40 (b) 200 (c) 20 (d) 60
  28. 28.A shopkeeper buys a toy for ₹420 and sells it for ₹399. What is his loss percent? (a) 21% (b) 10% (c) 5% (d) 6%
  29. 29.What is 15% of 1000? (a) 1500 (b) 850 (c) 300 (d) 150
  30. 30.A bag marked ₹1440 is sold at a 15% discount. What is its selling price? (a) ₹1425 (b) ₹1656 (c) ₹1224 (d) ₹216
  31. 31.A bag marked ₹460 is sold at a 50% discount. What is its selling price? (a) ₹690 (b) ₹231 (c) ₹230 (d) ₹410
  32. 32.A bag marked ₹400 is sold at a 40% discount. What is its selling price? (a) ₹360 (b) ₹160 (c) ₹560 (d) ₹240
  33. 33.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 35% (b) 40% (c) 41% (d) 45%
  34. 34.What is 50% of 240? (a) 120 (b) 240 (c) 1200 (d) 121
  35. 35.What is 15% of 100? (a) 15 (b) 150 (c) 30 (d) 85
  36. 36.What is 50% of 700? (a) 351 (b) 700 (c) 3500 (d) 350
  37. 37.A shopkeeper buys a toy for ₹540 and sells it for ₹324. What is his loss percent? (a) 45% (b) 35% (c) 40% (d) 41%
  38. 38.A shopkeeper buys a toy for ₹260 and sells it for ₹273. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 13%
  39. 39.A shopkeeper buys a toy for ₹840 and sells it for ₹1050. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  40. 40.A shopkeeper buys a toy for ₹200 and sells it for ₹250. What is his profit percent? (a) 25% (b) 30% (c) 20% (d) 50%

Answer key

  1. ₹255
  2. ₹1683
  3. ₹1003
  4. 460
  5. 30%
  6. 20%
  7. 15%
  8. 112
  9. ₹224
  10. 25%
  11. 50%
  12. ₹1568
  13. ₹544
  14. 15%
  15. 32
  16. 10%
  17. 64
  18. 40%
  19. 30%
  20. 10%
  21. 10%
  22. 25%
  23. 96
  24. 10%
  25. ₹780
  26. 40%
  27. 20
  28. 5%
  29. 150
  30. ₹1224
  31. ₹230
  32. ₹240
  33. 40%
  34. 120
  35. 15
  36. 350
  37. 40%
  38. 5%
  39. 25%
  40. 25%

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