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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 125 · 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 ₹820 and sells it for ₹615. What is his loss percent? (a) 30% (b) 20% (c) 26% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹660 and sells it for ₹759. What is his profit percent? (a) 15% (b) 10% (c) 99% (d) 20%
  3. 3.A bag marked ₹920 is sold at a 30% discount. What is its selling price? (a) ₹276 (b) ₹890 (c) ₹644 (d) ₹1196
  4. 4.What is 40% of 160? (a) 96 (b) 128 (c) 640 (d) 64
  5. 5.What is 5% of 220? (a) 110 (b) 209 (c) 11 (d) 22
  6. 6.A shopkeeper buys a toy for ₹1000 and sells it for ₹950. What is his loss percent? (a) 50% (b) 10% (c) 5% (d) 6%
  7. 7.A shopkeeper buys a toy for ₹920 and sells it for ₹1058. What is his profit percent? (a) 16% (b) 20% (c) 15% (d) 10%
  8. 8.A shopkeeper buys a toy for ₹820 and sells it for ₹1066. What is his profit percent? (a) 31% (b) 25% (c) 30% (d) 35%
  9. 9.A shopkeeper buys a toy for ₹640 and sells it for ₹544. What is his loss percent? (a) 10% (b) 96% (c) 15% (d) 20%
  10. 10.A shopkeeper buys a toy for ₹200 and sells it for ₹180. What is his loss percent? (a) 15% (b) 5% (c) 20% (d) 10%
  11. 11.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 31% (b) 35% (c) 25% (d) 30%
  12. 12.A shopkeeper buys a toy for ₹200 and sells it for ₹150. What is his loss percent? (a) 30% (b) 20% (c) 50% (d) 25%
  13. 13.A bag marked ₹340 is sold at a 15% discount. What is its selling price? (a) ₹289 (b) ₹391 (c) ₹325 (d) ₹51
  14. 14.What is 10% of 480? (a) 96 (b) 48 (c) 432 (d) 480
  15. 15.A shopkeeper buys a toy for ₹460 and sells it for ₹690. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  16. 16.A bag marked ₹1900 is sold at a 15% discount. What is its selling price? (a) ₹1615 (b) ₹1885 (c) ₹285 (d) ₹2185
  17. 17.A bag marked ₹740 is sold at a 15% discount. What is its selling price? (a) ₹111 (b) ₹851 (c) ₹725 (d) ₹629
  18. 18.What is 10% of 120? (a) 120 (b) 108 (c) 12 (d) 24
  19. 19.What is 25% of 540? (a) 135 (b) 405 (c) 1350 (d) 270
  20. 20.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 23% (b) 6% (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 ₹380 and sells it for ₹399. What is his profit percent? (a) 10% (b) 5% (c) 19% (d) 6%
  23. 23.A bag marked ₹1720 is sold at a 40% discount. What is its selling price? (a) ₹1680 (b) ₹688 (c) ₹1032 (d) ₹2408
  24. 24.What is 20% of 680? (a) 544 (b) 1360 (c) 136 (d) 272
  25. 25.A shopkeeper buys a toy for ₹120 and sells it for ₹126. What is his profit percent? (a) 6% (b) 10% (c) 5% (d) 4%
  26. 26.What is 5% of 780? (a) 741 (b) 78 (c) 390 (d) 39
  27. 27.A bag marked ₹620 is sold at a 40% discount. What is its selling price? (a) ₹580 (b) ₹372 (c) ₹248 (d) ₹868
  28. 28.What is 40% of 980? (a) 784 (b) 588 (c) 3920 (d) 392
  29. 29.What is 20% of 140? (a) 56 (b) 28 (c) 280 (d) 112
  30. 30.What is 30% of 980? (a) 588 (b) 2940 (c) 294 (d) 686
  31. 31.A bag marked ₹1340 is sold at a 40% discount. What is its selling price? (a) ₹536 (b) ₹1300 (c) ₹1876 (d) ₹804
  32. 32.A bag marked ₹1740 is sold at a 50% discount. What is its selling price? (a) ₹1690 (b) ₹2610 (c) ₹871 (d) ₹870
  33. 33.What is 5% of 960? (a) 96 (b) 48 (c) 912 (d) 480
  34. 34.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 15% (b) 30% (c) 5% (d) 10%
  35. 35.A shopkeeper buys a toy for ₹760 and sells it for ₹912. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  36. 36.A shopkeeper buys a toy for ₹140 and sells it for ₹133. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 7%
  37. 37.A bag marked ₹640 is sold at a 40% discount. What is its selling price? (a) ₹896 (b) ₹600 (c) ₹256 (d) ₹384
  38. 38.What is 75% of 600? (a) 900 (b) 4500 (c) 450 (d) 150
  39. 39.What is 5% of 160? (a) 16 (b) 8 (c) 80 (d) 152
  40. 40.A bag marked ₹1300 is sold at a 40% discount. What is its selling price? (a) ₹780 (b) ₹1260 (c) ₹1820 (d) ₹520

Answer key

  1. 25%
  2. 15%
  3. ₹644
  4. 64
  5. 11
  6. 5%
  7. 15%
  8. 30%
  9. 15%
  10. 10%
  11. 30%
  12. 25%
  13. ₹289
  14. 48
  15. 50%
  16. ₹1615
  17. ₹629
  18. 12
  19. 135
  20. 5%
  21. 225
  22. 5%
  23. ₹1032
  24. 136
  25. 5%
  26. 39
  27. ₹372
  28. 392
  29. 28
  30. 294
  31. ₹804
  32. ₹870
  33. 48
  34. 10%
  35. 20%
  36. 5%
  37. ₹384
  38. 450
  39. 8
  40. ₹780

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