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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 644 · 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 ₹440 and sells it for ₹330. What is his loss percent? (a) 26% (b) 25% (c) 30% (d) 20%
  2. 2.A shopkeeper buys a toy for ₹280 and sells it for ₹196. What is his loss percent? (a) 25% (b) 84% (c) 30% (d) 35%
  3. 3.What is 25% of 700? (a) 1750 (b) 350 (c) 175 (d) 525
  4. 4.A shopkeeper buys a toy for ₹740 and sells it for ₹888. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 21%
  5. 5.A shopkeeper buys a toy for ₹580 and sells it for ₹609. What is his profit percent? (a) 6% (b) 5% (c) 29% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹300 and sells it for ₹330. What is his profit percent? (a) 10% (b) 15% (c) 30% (d) 5%
  7. 7.A shopkeeper buys a toy for ₹800 and sells it for ₹840. What is his profit percent? (a) 10% (b) 6% (c) 5% (d) 40%
  8. 8.What is 15% of 540? (a) 810 (b) 459 (c) 81 (d) 162
  9. 9.A shopkeeper buys a toy for ₹620 and sells it for ₹465. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  10. 10.A shopkeeper buys a toy for ₹440 and sells it for ₹374. What is his loss percent? (a) 10% (b) 15% (c) 66% (d) 20%
  11. 11.A shopkeeper buys a toy for ₹400 and sells it for ₹600. What is his profit percent? (a) 45% (b) 55% (c) 51% (d) 50%
  12. 12.What is 10% of 900? (a) 900 (b) 810 (c) 90 (d) 180
  13. 13.A shopkeeper buys a toy for ₹380 and sells it for ₹418. What is his profit percent? (a) 15% (b) 38% (c) 5% (d) 10%
  14. 14.What is 60% of 200? (a) 120 (b) 1200 (c) 80 (d) 240
  15. 15.What is 30% of 180? (a) 540 (b) 54 (c) 126 (d) 108
  16. 16.A bag marked ₹1620 is sold at a 30% discount. What is its selling price? (a) ₹1134 (b) ₹486 (c) ₹2106 (d) ₹1590
  17. 17.What is 20% of 480? (a) 192 (b) 96 (c) 960 (d) 384
  18. 18.A shopkeeper buys a toy for ₹700 and sells it for ₹420. What is his loss percent? (a) 45% (b) 35% (c) 41% (d) 40%
  19. 19.A shopkeeper buys a toy for ₹840 and sells it for ₹924. What is his profit percent? (a) 10% (b) 15% (c) 84% (d) 5%
  20. 20.A bag marked ₹1620 is sold at a 50% discount. What is its selling price? (a) ₹2430 (b) ₹811 (c) ₹810 (d) ₹1570
  21. 21.A shopkeeper buys a toy for ₹460 and sells it for ₹483. What is his profit percent? (a) 10% (b) 23% (c) 5% (d) 6%
  22. 22.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 26% (b) 30% (c) 20% (d) 25%
  23. 23.A shopkeeper buys a toy for ₹720 and sells it for ₹936. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 31%
  24. 24.What is 20% of 800? (a) 1600 (b) 160 (c) 320 (d) 640
  25. 25.What is 25% of 1000? (a) 750 (b) 2500 (c) 250 (d) 500
  26. 26.A shopkeeper buys a toy for ₹540 and sells it for ₹594. What is his profit percent? (a) 10% (b) 15% (c) 5% (d) 54%
  27. 27.What is 5% of 80? (a) 76 (b) 8 (c) 40 (d) 4
  28. 28.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 5% (b) 20% (c) 10% (d) 15%
  29. 29.A bag marked ₹640 is sold at a 25% discount. What is its selling price? (a) ₹800 (b) ₹615 (c) ₹160 (d) ₹480
  30. 30.A shopkeeper buys a toy for ₹100 and sells it for ₹115. What is his profit percent? (a) 20% (b) 16% (c) 15% (d) 10%
  31. 31.A bag marked ₹960 is sold at a 40% discount. What is its selling price? (a) ₹920 (b) ₹576 (c) ₹1344 (d) ₹384
  32. 32.A shopkeeper buys a toy for ₹160 and sells it for ₹176. What is his profit percent? (a) 5% (b) 10% (c) 16% (d) 15%
  33. 33.What is 50% of 680? (a) 340 (b) 3400 (c) 341 (d) 680
  34. 34.What is 10% of 220? (a) 220 (b) 44 (c) 22 (d) 198
  35. 35.A shopkeeper buys a toy for ₹680 and sells it for ₹1020. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  36. 36.What is 20% of 240? (a) 96 (b) 48 (c) 480 (d) 192
  37. 37.A shopkeeper buys a toy for ₹260 and sells it for ₹195. What is his loss percent? (a) 30% (b) 25% (c) 65% (d) 20%
  38. 38.A shopkeeper buys a toy for ₹120 and sells it for ₹126. What is his profit percent? (a) 4% (b) 10% (c) 5% (d) 6%
  39. 39.A shopkeeper buys a toy for ₹980 and sells it for ₹1274. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  40. 40.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 5% (b) 6% (c) 10% (d) 38%

Answer key

  1. 25%
  2. 30%
  3. 175
  4. 20%
  5. 5%
  6. 10%
  7. 5%
  8. 81
  9. 25%
  10. 15%
  11. 50%
  12. 90
  13. 10%
  14. 120
  15. 54
  16. ₹1134
  17. 96
  18. 40%
  19. 10%
  20. ₹810
  21. 5%
  22. 25%
  23. 30%
  24. 160
  25. 250
  26. 10%
  27. 4
  28. 10%
  29. ₹480
  30. 15%
  31. ₹576
  32. 10%
  33. 340
  34. 22
  35. 50%
  36. 48
  37. 25%
  38. 5%
  39. 30%
  40. 5%

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