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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 172 · 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 ₹940 and sells it for ₹752. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  2. 2.A bag marked ₹1740 is sold at a 15% discount. What is its selling price? (a) ₹2001 (b) ₹1479 (c) ₹1725 (d) ₹261
  3. 3.A bag marked ₹1640 is sold at a 20% discount. What is its selling price? (a) ₹1312 (b) ₹1968 (c) ₹328 (d) ₹1620
  4. 4.A shopkeeper buys a toy for ₹780 and sells it for ₹624. What is his loss percent? (a) 25% (b) 15% (c) 21% (d) 20%
  5. 5.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 15% (b) 5% (c) 10% (d) 56%
  6. 6.What is 50% of 460? (a) 460 (b) 2300 (c) 230 (d) 231
  7. 7.What is 60% of 300? (a) 180 (b) 360 (c) 120 (d) 1800
  8. 8.What is 75% of 840? (a) 630 (b) 1260 (c) 210 (d) 6300
  9. 9.A bag marked ₹1560 is sold at a 30% discount. What is its selling price? (a) ₹468 (b) ₹2028 (c) ₹1092 (d) ₹1530
  10. 10.A shopkeeper buys a toy for ₹440 and sells it for ₹660. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  11. 11.A shopkeeper buys a toy for ₹980 and sells it for ₹882. What is his loss percent? (a) 15% (b) 5% (c) 98% (d) 10%
  12. 12.What is 40% of 920? (a) 3680 (b) 736 (c) 368 (d) 552
  13. 13.A shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 10% (b) 5% (c) 19% (d) 6%
  14. 14.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 10% (b) 5% (c) 48% (d) 15%
  15. 15.What is 75% of 700? (a) 175 (b) 5250 (c) 1050 (d) 525
  16. 16.A shopkeeper buys a toy for ₹400 and sells it for ₹520. What is his profit percent? (a) 31% (b) 30% (c) 25% (d) 35%
  17. 17.A shopkeeper buys a toy for ₹700 and sells it for ₹735. What is his profit percent? (a) 10% (b) 6% (c) 35% (d) 5%
  18. 18.A shopkeeper buys a toy for ₹620 and sells it for ₹775. What is his profit percent? (a) 30% (b) 26% (c) 25% (d) 20%
  19. 19.A shopkeeper buys a toy for ₹480 and sells it for ₹504. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 24%
  20. 20.A shopkeeper buys a toy for ₹660 and sells it for ₹594. What is his loss percent? (a) 15% (b) 66% (c) 10% (d) 5%
  21. 21.What is 50% of 100? (a) 51 (b) 100 (c) 500 (d) 50
  22. 22.A shopkeeper buys a toy for ₹120 and sells it for ₹114. What is his loss percent? (a) 6% (b) 5% (c) 10% (d) 4%
  23. 23.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  24. 24.A shopkeeper buys a toy for ₹800 and sells it for ₹560. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  25. 25.A shopkeeper buys a toy for ₹360 and sells it for ₹414. What is his profit percent? (a) 10% (b) 15% (c) 20% (d) 54%
  26. 26.A shopkeeper buys a toy for ₹440 and sells it for ₹330. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  27. 27.A shopkeeper buys a toy for ₹500 and sells it for ₹625. What is his profit percent? (a) 26% (b) 20% (c) 25% (d) 30%
  28. 28.A shopkeeper buys a toy for ₹680 and sells it for ₹476. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  29. 29.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 20% (b) 25% (c) 72% (d) 15%
  30. 30.A shopkeeper buys a toy for ₹420 and sells it for ₹357. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 63%
  31. 31.A shopkeeper buys a toy for ₹560 and sells it for ₹728. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  32. 32.A bag marked ₹1280 is sold at a 15% discount. What is its selling price? (a) ₹1265 (b) ₹192 (c) ₹1472 (d) ₹1088
  33. 33.What is 15% of 400? (a) 340 (b) 60 (c) 600 (d) 120
  34. 34.A bag marked ₹900 is sold at a 25% discount. What is its selling price? (a) ₹675 (b) ₹225 (c) ₹1125 (d) ₹875
  35. 35.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 35% (b) 45% (c) 41% (d) 40%
  36. 36.A shopkeeper buys a toy for ₹220 and sells it for ₹275. What is his profit percent? (a) 20% (b) 55% (c) 30% (d) 25%
  37. 37.A shopkeeper buys a toy for ₹140 and sells it for ₹175. What is his profit percent? (a) 30% (b) 35% (c) 25% (d) 20%
  38. 38.A shopkeeper buys a toy for ₹540 and sells it for ₹459. What is his loss percent? (a) 10% (b) 15% (c) 81% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 15% (b) 21% (c) 20% (d) 25%
  40. 40.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 22% (b) 5% (c) 10% (d) 6%

Answer key

  1. 20%
  2. ₹1479
  3. ₹1312
  4. 20%
  5. 10%
  6. 230
  7. 180
  8. 630
  9. ₹1092
  10. 50%
  11. 10%
  12. 368
  13. 5%
  14. 10%
  15. 525
  16. 30%
  17. 5%
  18. 25%
  19. 5%
  20. 10%
  21. 50
  22. 5%
  23. 40%
  24. 30%
  25. 15%
  26. 25%
  27. 25%
  28. 30%
  29. 20%
  30. 15%
  31. 30%
  32. ₹1088
  33. 60
  34. ₹675
  35. 40%
  36. 25%
  37. 25%
  38. 15%
  39. 20%
  40. 5%

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