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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 586 · 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 ₹320 and sells it for ₹368. What is his profit percent? (a) 15% (b) 10% (c) 48% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹940 and sells it for ₹1081. What is his profit percent? (a) 10% (b) 20% (c) 16% (d) 15%
  3. 3.What is 50% of 440? (a) 440 (b) 220 (c) 221 (d) 2200
  4. 4.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  5. 5.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹1428 (b) ₹980 (c) ₹408 (d) ₹612
  6. 6.A shopkeeper buys a toy for ₹640 and sells it for ₹384. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  7. 7.A shopkeeper buys a toy for ₹800 and sells it for ₹760. What is his loss percent? (a) 40% (b) 5% (c) 6% (d) 10%
  8. 8.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹62 (b) ₹682 (c) ₹610 (d) ₹558
  9. 9.What is 5% of 240? (a) 24 (b) 12 (c) 120 (d) 228
  10. 10.A shopkeeper buys a toy for ₹160 and sells it for ₹192. What is his profit percent? (a) 25% (b) 32% (c) 15% (d) 20%
  11. 11.What is 20% of 300? (a) 600 (b) 120 (c) 240 (d) 60
  12. 12.What is 20% of 320? (a) 64 (b) 640 (c) 256 (d) 128
  13. 13.What is 30% of 160? (a) 48 (b) 480 (c) 112 (d) 96
  14. 14.What is 15% of 320? (a) 48 (b) 272 (c) 480 (d) 96
  15. 15.What is 60% of 460? (a) 2760 (b) 184 (c) 276 (d) 552
  16. 16.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 30% (b) 20% (c) 25% (d) 85%
  17. 17.A shopkeeper buys a toy for ₹880 and sells it for ₹1144. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  18. 18.A bag marked ₹280 is sold at a 25% discount. What is its selling price? (a) ₹210 (b) ₹70 (c) ₹255 (d) ₹350
  19. 19.What is 20% of 380? (a) 76 (b) 152 (c) 760 (d) 304
  20. 20.A shopkeeper buys a toy for ₹900 and sells it for ₹945. What is his profit percent? (a) 6% (b) 45% (c) 5% (d) 10%
  21. 21.What is 75% of 300? (a) 225 (b) 450 (c) 2250 (d) 75
  22. 22.A shopkeeper buys a toy for ₹260 and sells it for ₹312. What is his profit percent? (a) 25% (b) 52% (c) 20% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹920 and sells it for ₹828. What is his loss percent? (a) 15% (b) 92% (c) 5% (d) 10%
  24. 24.What is 5% of 180? (a) 171 (b) 90 (c) 18 (d) 9
  25. 25.What is 60% of 300? (a) 180 (b) 360 (c) 120 (d) 1800
  26. 26.A bag marked ₹1460 is sold at a 25% discount. What is its selling price? (a) ₹365 (b) ₹1435 (c) ₹1825 (d) ₹1095
  27. 27.A shopkeeper buys a toy for ₹640 and sells it for ₹672. What is his profit percent? (a) 10% (b) 32% (c) 5% (d) 6%
  28. 28.A bag marked ₹1700 is sold at a 20% discount. What is its selling price? (a) ₹1680 (b) ₹340 (c) ₹1360 (d) ₹2040
  29. 29.A bag marked ₹1400 is sold at a 25% discount. What is its selling price? (a) ₹1375 (b) ₹350 (c) ₹1750 (d) ₹1050
  30. 30.What is 75% of 120? (a) 900 (b) 180 (c) 30 (d) 90
  31. 31.What is 60% of 680? (a) 408 (b) 4080 (c) 816 (d) 272
  32. 32.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  33. 33.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  34. 34.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 5% (b) 54% (c) 15% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹320 and sells it for ₹240. What is his loss percent? (a) 80% (b) 30% (c) 25% (d) 20%
  36. 36.A shopkeeper buys a toy for ₹680 and sells it for ₹408. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  37. 37.A shopkeeper buys a toy for ₹380 and sells it for ₹266. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  38. 38.A shopkeeper buys a toy for ₹420 and sells it for ₹588. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  39. 39.A shopkeeper buys a toy for ₹420 and sells it for ₹546. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  40. 40.A bag marked ₹1440 is sold at a 30% discount. What is its selling price? (a) ₹432 (b) ₹1008 (c) ₹1872 (d) ₹1410

Answer key

  1. 15%
  2. 15%
  3. 220
  4. 25%
  5. ₹612
  6. 40%
  7. 5%
  8. ₹558
  9. 12
  10. 20%
  11. 60
  12. 64
  13. 48
  14. 48
  15. 276
  16. 25%
  17. 30%
  18. ₹210
  19. 76
  20. 5%
  21. 225
  22. 20%
  23. 10%
  24. 9
  25. 180
  26. ₹1095
  27. 5%
  28. ₹1360
  29. ₹1050
  30. 90
  31. 408
  32. 25%
  33. 25%
  34. 10%
  35. 25%
  36. 40%
  37. 30%
  38. 40%
  39. 30%
  40. ₹1008

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