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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 199 · 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 ₹860 and sells it for ₹1118. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  2. 2.A bag marked ₹260 is sold at a 25% discount. What is its selling price? (a) ₹235 (b) ₹195 (c) ₹65 (d) ₹325
  3. 3.A shopkeeper buys a toy for ₹220 and sells it for ₹187. What is his loss percent? (a) 33% (b) 20% (c) 15% (d) 10%
  4. 4.A shopkeeper buys a toy for ₹920 and sells it for ₹644. What is his loss percent? (a) 30% (b) 25% (c) 31% (d) 35%
  5. 5.A bag marked ₹700 is sold at a 25% discount. What is its selling price? (a) ₹675 (b) ₹175 (c) ₹875 (d) ₹525
  6. 6.What is 75% of 680? (a) 170 (b) 1020 (c) 5100 (d) 510
  7. 7.A bag marked ₹320 is sold at a 10% discount. What is its selling price? (a) ₹310 (b) ₹352 (c) ₹32 (d) ₹288
  8. 8.A shopkeeper buys a toy for ₹500 and sells it for ₹400. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 21%
  9. 9.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  10. 10.A bag marked ₹280 is sold at a 10% discount. What is its selling price? (a) ₹28 (b) ₹270 (c) ₹252 (d) ₹308
  11. 11.A bag marked ₹1260 is sold at a 15% discount. What is its selling price? (a) ₹1245 (b) ₹189 (c) ₹1449 (d) ₹1071
  12. 12.A bag marked ₹1260 is sold at a 10% discount. What is its selling price? (a) ₹126 (b) ₹1386 (c) ₹1250 (d) ₹1134
  13. 13.A bag marked ₹840 is sold at a 25% discount. What is its selling price? (a) ₹1050 (b) ₹815 (c) ₹210 (d) ₹630
  14. 14.A bag marked ₹1720 is sold at a 20% discount. What is its selling price? (a) ₹1376 (b) ₹2064 (c) ₹1700 (d) ₹344
  15. 15.A shopkeeper buys a toy for ₹980 and sells it for ₹588. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  16. 16.A shopkeeper buys a toy for ₹740 and sells it for ₹1036. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  17. 17.A shopkeeper buys a toy for ₹460 and sells it for ₹391. What is his loss percent? (a) 20% (b) 69% (c) 15% (d) 10%
  18. 18.What is 15% of 180? (a) 270 (b) 153 (c) 54 (d) 27
  19. 19.What is 30% of 300? (a) 90 (b) 900 (c) 180 (d) 210
  20. 20.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 41%
  21. 21.What is 50% of 280? (a) 140 (b) 141 (c) 280 (d) 1400
  22. 22.What is 50% of 240? (a) 121 (b) 120 (c) 240 (d) 1200
  23. 23.A shopkeeper buys a toy for ₹160 and sells it for ₹112. What is his loss percent? (a) 48% (b) 30% (c) 25% (d) 35%
  24. 24.What is 15% of 480? (a) 144 (b) 408 (c) 72 (d) 720
  25. 25.A shopkeeper buys a toy for ₹120 and sells it for ₹96. What is his loss percent? (a) 15% (b) 20% (c) 25% (d) 24%
  26. 26.What is 20% of 480? (a) 192 (b) 960 (c) 96 (d) 384
  27. 27.What is 40% of 700? (a) 420 (b) 560 (c) 280 (d) 2800
  28. 28.What is 75% of 220? (a) 330 (b) 165 (c) 55 (d) 1650
  29. 29.What is 15% of 540? (a) 810 (b) 162 (c) 459 (d) 81
  30. 30.What is 50% of 60? (a) 31 (b) 30 (c) 300 (d) 60
  31. 31.What is 10% of 660? (a) 132 (b) 66 (c) 660 (d) 594
  32. 32.A bag marked ₹900 is sold at a 40% discount. What is its selling price? (a) ₹1260 (b) ₹860 (c) ₹540 (d) ₹360
  33. 33.A shopkeeper buys a toy for ₹600 and sells it for ₹660. What is his profit percent? (a) 10% (b) 60% (c) 5% (d) 15%
  34. 34.A bag marked ₹340 is sold at a 25% discount. What is its selling price? (a) ₹255 (b) ₹425 (c) ₹85 (d) ₹315
  35. 35.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 15% (b) 88% (c) 5% (d) 10%
  36. 36.What is 60% of 460? (a) 2760 (b) 276 (c) 184 (d) 552
  37. 37.A bag marked ₹1900 is sold at a 20% discount. What is its selling price? (a) ₹1520 (b) ₹2280 (c) ₹1880 (d) ₹380
  38. 38.What is 40% of 140? (a) 56 (b) 560 (c) 84 (d) 112
  39. 39.A shopkeeper buys a toy for ₹600 and sells it for ₹720. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
  40. 40.What is 50% of 780? (a) 3900 (b) 780 (c) 390 (d) 391

Answer key

  1. 30%
  2. ₹195
  3. 15%
  4. 30%
  5. ₹525
  6. 510
  7. ₹288
  8. 20%
  9. 50%
  10. ₹252
  11. ₹1071
  12. ₹1134
  13. ₹630
  14. ₹1376
  15. 40%
  16. 40%
  17. 15%
  18. 27
  19. 90
  20. 40%
  21. 140
  22. 120
  23. 30%
  24. 72
  25. 20%
  26. 96
  27. 280
  28. 165
  29. 81
  30. 30
  31. 66
  32. ₹540
  33. 10%
  34. ₹255
  35. 10%
  36. 276
  37. ₹1520
  38. 56
  39. 20%
  40. 390

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