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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 678 · 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 ₹440 is sold at a 20% discount. What is its selling price? (a) ₹352 (b) ₹420 (c) ₹528 (d) ₹88
  2. 2.A shopkeeper buys a toy for ₹840 and sells it for ₹1260. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  3. 3.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 34% (b) 5% (c) 10% (d) 6%
  4. 4.A bag marked ₹560 is sold at a 15% discount. What is its selling price? (a) ₹644 (b) ₹84 (c) ₹545 (d) ₹476
  5. 5.A shopkeeper buys a toy for ₹240 and sells it for ₹192. What is his loss percent? (a) 25% (b) 15% (c) 48% (d) 20%
  6. 6.A shopkeeper buys a toy for ₹680 and sells it for ₹612. What is his loss percent? (a) 10% (b) 5% (c) 68% (d) 15%
  7. 7.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 35% (b) 78% (c) 25% (d) 30%
  8. 8.A shopkeeper buys a toy for ₹640 and sells it for ₹608. What is his loss percent? (a) 10% (b) 32% (c) 6% (d) 5%
  9. 9.A shopkeeper buys a toy for ₹960 and sells it for ₹1248. What is his profit percent? (a) 30% (b) 35% (c) 31% (d) 25%
  10. 10.A shopkeeper buys a toy for ₹960 and sells it for ₹816. What is his loss percent? (a) 15% (b) 20% (c) 16% (d) 10%
  11. 11.A shopkeeper buys a toy for ₹400 and sells it for ₹600. What is his profit percent? (a) 50% (b) 45% (c) 51% (d) 55%
  12. 12.A shopkeeper buys a toy for ₹600 and sells it for ₹690. What is his profit percent? (a) 20% (b) 15% (c) 90% (d) 10%
  13. 13.A shopkeeper buys a toy for ₹860 and sells it for ₹688. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  14. 14.What is 5% of 620? (a) 310 (b) 31 (c) 589 (d) 62
  15. 15.A bag marked ₹1580 is sold at a 30% discount. What is its selling price? (a) ₹1550 (b) ₹474 (c) ₹2054 (d) ₹1106
  16. 16.A bag marked ₹940 is sold at a 50% discount. What is its selling price? (a) ₹471 (b) ₹470 (c) ₹890 (d) ₹1410
  17. 17.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 66%
  18. 18.A shopkeeper buys a toy for ₹760 and sells it for ₹950. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  19. 19.A shopkeeper buys a toy for ₹360 and sells it for ₹216. What is his loss percent? (a) 40% (b) 41% (c) 45% (d) 35%
  20. 20.What is 25% of 660? (a) 495 (b) 165 (c) 1650 (d) 330
  21. 21.A shopkeeper buys a toy for ₹280 and sells it for ₹350. What is his profit percent? (a) 25% (b) 70% (c) 20% (d) 30%
  22. 22.A bag marked ₹840 is sold at a 50% discount. What is its selling price? (a) ₹790 (b) ₹420 (c) ₹1260 (d) ₹421
  23. 23.A shopkeeper buys a toy for ₹840 and sells it for ₹882. What is his profit percent? (a) 6% (b) 10% (c) 42% (d) 5%
  24. 24.A shopkeeper buys a toy for ₹940 and sells it for ₹893. What is his loss percent? (a) 5% (b) 47% (c) 6% (d) 10%
  25. 25.A bag marked ₹1860 is sold at a 40% discount. What is its selling price? (a) ₹2604 (b) ₹1820 (c) ₹744 (d) ₹1116
  26. 26.A bag marked ₹1620 is sold at a 25% discount. What is its selling price? (a) ₹1215 (b) ₹1595 (c) ₹2025 (d) ₹405
  27. 27.A shopkeeper buys a toy for ₹960 and sells it for ₹1104. What is his profit percent? (a) 16% (b) 20% (c) 15% (d) 10%
  28. 28.A bag marked ₹1140 is sold at a 40% discount. What is its selling price? (a) ₹1100 (b) ₹1596 (c) ₹456 (d) ₹684
  29. 29.What is 30% of 460? (a) 322 (b) 1380 (c) 276 (d) 138
  30. 30.A bag marked ₹1360 is sold at a 15% discount. What is its selling price? (a) ₹1564 (b) ₹1345 (c) ₹1156 (d) ₹204
  31. 31.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 35% (b) 25% (c) 72% (d) 30%
  32. 32.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 72% (b) 25% (c) 15% (d) 20%
  33. 33.A bag marked ₹920 is sold at a 25% discount. What is its selling price? (a) ₹230 (b) ₹690 (c) ₹1150 (d) ₹895
  34. 34.What is 10% of 740? (a) 148 (b) 74 (c) 666 (d) 740
  35. 35.What is 60% of 180? (a) 216 (b) 72 (c) 1080 (d) 108
  36. 36.What is 60% of 80? (a) 32 (b) 480 (c) 96 (d) 48
  37. 37.What is 10% of 460? (a) 460 (b) 414 (c) 92 (d) 46
  38. 38.A shopkeeper buys a toy for ₹700 and sells it for ₹665. What is his loss percent? (a) 5% (b) 6% (c) 10% (d) 35%
  39. 39.A shopkeeper buys a toy for ₹1000 and sells it for ₹850. What is his loss percent? (a) 20% (b) 15% (c) 16% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹980 and sells it for ₹1176. What is his profit percent? (a) 21% (b) 20% (c) 25% (d) 15%

Answer key

  1. ₹352
  2. 50%
  3. 5%
  4. ₹476
  5. 20%
  6. 10%
  7. 30%
  8. 5%
  9. 30%
  10. 15%
  11. 50%
  12. 15%
  13. 20%
  14. 31
  15. ₹1106
  16. ₹470
  17. 15%
  18. 25%
  19. 40%
  20. 165
  21. 25%
  22. ₹420
  23. 5%
  24. 5%
  25. ₹1116
  26. ₹1215
  27. 15%
  28. ₹684
  29. 138
  30. ₹1156
  31. 30%
  32. 20%
  33. ₹690
  34. 74
  35. 108
  36. 48
  37. 46
  38. 5%
  39. 15%
  40. 20%

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