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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 779 · 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 ₹960 and sells it for ₹912. What is his loss percent? (a) 5% (b) 6% (c) 48% (d) 10%
  2. 2.What is 15% of 560? (a) 84 (b) 476 (c) 840 (d) 168
  3. 3.A bag marked ₹260 is sold at a 20% discount. What is its selling price? (a) ₹208 (b) ₹52 (c) ₹312 (d) ₹240
  4. 4.A bag marked ₹660 is sold at a 15% discount. What is its selling price? (a) ₹645 (b) ₹561 (c) ₹99 (d) ₹759
  5. 5.A bag marked ₹1480 is sold at a 20% discount. What is its selling price? (a) ₹1776 (b) ₹1184 (c) ₹296 (d) ₹1460
  6. 6.A shopkeeper buys a toy for ₹140 and sells it for ₹210. What is his profit percent? (a) 50% (b) 45% (c) 70% (d) 55%
  7. 7.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 96% (b) 10% (c) 20% (d) 15%
  8. 8.A shopkeeper buys a toy for ₹360 and sells it for ₹468. What is his profit percent? (a) 30% (b) 31% (c) 35% (d) 25%
  9. 9.What is 30% of 660? (a) 462 (b) 396 (c) 198 (d) 1980
  10. 10.A shopkeeper buys a toy for ₹640 and sells it for ₹448. What is his loss percent? (a) 30% (b) 31% (c) 25% (d) 35%
  11. 11.What is 30% of 620? (a) 372 (b) 1860 (c) 186 (d) 434
  12. 12.What is 40% of 240? (a) 96 (b) 192 (c) 960 (d) 144
  13. 13.A bag marked ₹1660 is sold at a 40% discount. What is its selling price? (a) ₹996 (b) ₹1620 (c) ₹664 (d) ₹2324
  14. 14.A shopkeeper buys a toy for ₹740 and sells it for ₹925. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 26%
  15. 15.What is 15% of 100? (a) 30 (b) 15 (c) 85 (d) 150
  16. 16.A shopkeeper buys a toy for ₹940 and sells it for ₹705. What is his loss percent? (a) 20% (b) 30% (c) 26% (d) 25%
  17. 17.A shopkeeper buys a toy for ₹780 and sells it for ₹819. What is his profit percent? (a) 6% (b) 5% (c) 39% (d) 10%
  18. 18.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 16%
  19. 19.What is 60% of 220? (a) 264 (b) 132 (c) 88 (d) 1320
  20. 20.What is 60% of 660? (a) 792 (b) 3960 (c) 396 (d) 264
  21. 21.A bag marked ₹1560 is sold at a 10% discount. What is its selling price? (a) ₹156 (b) ₹1404 (c) ₹1550 (d) ₹1716
  22. 22.A shopkeeper buys a toy for ₹500 and sells it for ₹375. What is his loss percent? (a) 20% (b) 25% (c) 30% (d) 26%
  23. 23.A shopkeeper buys a toy for ₹600 and sells it for ₹630. What is his profit percent? (a) 30% (b) 6% (c) 10% (d) 5%
  24. 24.What is 25% of 60? (a) 30 (b) 150 (c) 15 (d) 45
  25. 25.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 22% (b) 6% (c) 5% (d) 10%
  26. 26.A shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 19% (b) 6% (c) 5% (d) 10%
  27. 27.A shopkeeper buys a toy for ₹580 and sells it for ₹667. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 87%
  28. 28.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 25% (b) 15% (c) 72% (d) 20%
  29. 29.What is 75% of 680? (a) 1020 (b) 5100 (c) 510 (d) 170
  30. 30.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 35% (b) 72% (c) 40% (d) 45%
  31. 31.A shopkeeper buys a toy for ₹980 and sells it for ₹1029. What is his profit percent? (a) 6% (b) 49% (c) 5% (d) 10%
  32. 32.What is 75% of 920? (a) 1380 (b) 230 (c) 690 (d) 6900
  33. 33.What is 20% of 320? (a) 128 (b) 64 (c) 640 (d) 256
  34. 34.A shopkeeper buys a toy for ₹220 and sells it for ₹176. What is his loss percent? (a) 44% (b) 15% (c) 25% (d) 20%
  35. 35.A bag marked ₹1020 is sold at a 50% discount. What is its selling price? (a) ₹970 (b) ₹510 (c) ₹1530 (d) ₹511
  36. 36.What is 20% of 1000? (a) 200 (b) 800 (c) 2000 (d) 400
  37. 37.A bag marked ₹1320 is sold at a 25% discount. What is its selling price? (a) ₹1650 (b) ₹990 (c) ₹330 (d) ₹1295
  38. 38.What is 75% of 360? (a) 90 (b) 2700 (c) 540 (d) 270
  39. 39.A shopkeeper buys a toy for ₹500 and sells it for ₹700. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  40. 40.A shopkeeper buys a toy for ₹180 and sells it for ₹162. What is his loss percent? (a) 15% (b) 5% (c) 18% (d) 10%

Answer key

  1. 5%
  2. 84
  3. ₹208
  4. ₹561
  5. ₹1184
  6. 50%
  7. 15%
  8. 30%
  9. 198
  10. 30%
  11. 186
  12. 96
  13. ₹996
  14. 25%
  15. 15
  16. 25%
  17. 5%
  18. 5%
  19. 132
  20. 396
  21. ₹1404
  22. 25%
  23. 5%
  24. 15
  25. 5%
  26. 5%
  27. 15%
  28. 20%
  29. 510
  30. 40%
  31. 5%
  32. 690
  33. 64
  34. 20%
  35. ₹510
  36. 200
  37. ₹990
  38. 270
  39. 40%
  40. 10%

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