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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 583 · 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 ₹280 and sells it for ₹252. What is his loss percent? (a) 5% (b) 28% (c) 15% (d) 10%
  2. 2.A shopkeeper buys a toy for ₹360 and sells it for ₹378. What is his profit percent? (a) 18% (b) 6% (c) 5% (d) 10%
  3. 3.A bag marked ₹1120 is sold at a 10% discount. What is its selling price? (a) ₹1008 (b) ₹112 (c) ₹1110 (d) ₹1232
  4. 4.A shopkeeper buys a toy for ₹780 and sells it for ₹897. What is his profit percent? (a) 20% (b) 16% (c) 10% (d) 15%
  5. 5.A shopkeeper buys a toy for ₹880 and sells it for ₹660. What is his loss percent? (a) 20% (b) 26% (c) 30% (d) 25%
  6. 6.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 39% (b) 15% (c) 20% (d) 10%
  7. 7.What is 20% of 700? (a) 560 (b) 1400 (c) 140 (d) 280
  8. 8.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 20% (b) 25% (c) 15% (d) 84%
  9. 9.What is 20% of 620? (a) 496 (b) 124 (c) 1240 (d) 248
  10. 10.A bag marked ₹1840 is sold at a 15% discount. What is its selling price? (a) ₹2116 (b) ₹1564 (c) ₹1825 (d) ₹276
  11. 11.What is 50% of 840? (a) 420 (b) 421 (c) 840 (d) 4200
  12. 12.What is 60% of 120? (a) 144 (b) 720 (c) 48 (d) 72
  13. 13.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 18%
  14. 14.A bag marked ₹1100 is sold at a 30% discount. What is its selling price? (a) ₹1070 (b) ₹1430 (c) ₹330 (d) ₹770
  15. 15.A shopkeeper buys a toy for ₹420 and sells it for ₹483. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 63%
  16. 16.What is 10% of 880? (a) 880 (b) 176 (c) 88 (d) 792
  17. 17.A shopkeeper buys a toy for ₹160 and sells it for ₹192. What is his profit percent? (a) 15% (b) 20% (c) 32% (d) 25%
  18. 18.What is 20% of 440? (a) 176 (b) 352 (c) 880 (d) 88
  19. 19.A shopkeeper buys a toy for ₹220 and sells it for ₹132. What is his loss percent? (a) 88% (b) 35% (c) 40% (d) 45%
  20. 20.What is 30% of 40? (a) 12 (b) 120 (c) 28 (d) 24
  21. 21.A bag marked ₹540 is sold at a 40% discount. What is its selling price? (a) ₹756 (b) ₹216 (c) ₹500 (d) ₹324
  22. 22.What is 40% of 700? (a) 560 (b) 2800 (c) 420 (d) 280
  23. 23.A bag marked ₹1520 is sold at a 40% discount. What is its selling price? (a) ₹2128 (b) ₹608 (c) ₹1480 (d) ₹912
  24. 24.A bag marked ₹240 is sold at a 15% discount. What is its selling price? (a) ₹225 (b) ₹36 (c) ₹204 (d) ₹276
  25. 25.A bag marked ₹600 is sold at a 25% discount. What is its selling price? (a) ₹450 (b) ₹150 (c) ₹750 (d) ₹575
  26. 26.What is 75% of 840? (a) 630 (b) 6300 (c) 210 (d) 1260
  27. 27.What is 10% of 560? (a) 504 (b) 112 (c) 560 (d) 56
  28. 28.A bag marked ₹720 is sold at a 40% discount. What is its selling price? (a) ₹432 (b) ₹680 (c) ₹288 (d) ₹1008
  29. 29.A shopkeeper buys a toy for ₹200 and sells it for ₹120. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 80%
  30. 30.A shopkeeper buys a toy for ₹240 and sells it for ₹216. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 24%
  31. 31.What is 10% of 820? (a) 82 (b) 164 (c) 738 (d) 820
  32. 32.What is 20% of 900? (a) 720 (b) 360 (c) 1800 (d) 180
  33. 33.What is 5% of 960? (a) 480 (b) 96 (c) 48 (d) 912
  34. 34.A shopkeeper buys a toy for ₹180 and sells it for ₹207. What is his profit percent? (a) 15% (b) 20% (c) 10% (d) 27%
  35. 35.A shopkeeper buys a toy for ₹240 and sells it for ₹264. What is his profit percent? (a) 15% (b) 24% (c) 5% (d) 10%
  36. 36.A shopkeeper buys a toy for ₹180 and sells it for ₹144. What is his loss percent? (a) 15% (b) 36% (c) 25% (d) 20%
  37. 37.A shopkeeper buys a toy for ₹960 and sells it for ₹1440. What is his profit percent? (a) 45% (b) 55% (c) 50% (d) 51%
  38. 38.What is 75% of 440? (a) 330 (b) 110 (c) 3300 (d) 660
  39. 39.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 25% (b) 30% (c) 35% (d) 78%
  40. 40.What is 5% of 320? (a) 32 (b) 304 (c) 16 (d) 160

Answer key

  1. 10%
  2. 5%
  3. ₹1008
  4. 15%
  5. 25%
  6. 15%
  7. 140
  8. 20%
  9. 124
  10. ₹1564
  11. 420
  12. 72
  13. 10%
  14. ₹770
  15. 15%
  16. 88
  17. 20%
  18. 88
  19. 40%
  20. 12
  21. ₹324
  22. 280
  23. ₹912
  24. ₹204
  25. ₹450
  26. 630
  27. 56
  28. ₹432
  29. 40%
  30. 10%
  31. 82
  32. 180
  33. 48
  34. 15%
  35. 10%
  36. 20%
  37. 50%
  38. 330
  39. 30%
  40. 16

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