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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 151 · 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 ₹160 and sells it for ₹136. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 24%
  2. 2.A shopkeeper buys a toy for ₹120 and sells it for ₹72. What is his loss percent? (a) 48% (b) 40% (c) 45% (d) 35%
  3. 3.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 15% (b) 21% (c) 25% (d) 20%
  4. 4.What is 20% of 960? (a) 384 (b) 1920 (c) 192 (d) 768
  5. 5.A bag marked ₹1460 is sold at a 10% discount. What is its selling price? (a) ₹1606 (b) ₹146 (c) ₹1450 (d) ₹1314
  6. 6.What is 5% of 120? (a) 114 (b) 6 (c) 60 (d) 12
  7. 7.A shopkeeper buys a toy for ₹240 and sells it for ₹168. What is his loss percent? (a) 35% (b) 72% (c) 30% (d) 25%
  8. 8.What is 75% of 80? (a) 60 (b) 600 (c) 20 (d) 120
  9. 9.A shopkeeper buys a toy for ₹720 and sells it for ₹1080. What is his profit percent? (a) 51% (b) 50% (c) 45% (d) 55%
  10. 10.A shopkeeper buys a toy for ₹960 and sells it for ₹576. What is his loss percent? (a) 41% (b) 45% (c) 40% (d) 35%
  11. 11.What is 25% of 220? (a) 550 (b) 165 (c) 55 (d) 110
  12. 12.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%
  13. 13.What is 5% of 440? (a) 44 (b) 418 (c) 220 (d) 22
  14. 14.A shopkeeper buys a toy for ₹460 and sells it for ₹345. What is his loss percent? (a) 25% (b) 26% (c) 30% (d) 20%
  15. 15.A bag marked ₹1700 is sold at a 25% discount. What is its selling price? (a) ₹425 (b) ₹2125 (c) ₹1675 (d) ₹1275
  16. 16.A shopkeeper buys a toy for ₹280 and sells it for ₹392. What is his profit percent? (a) 45% (b) 41% (c) 40% (d) 35%
  17. 17.A bag marked ₹1940 is sold at a 50% discount. What is its selling price? (a) ₹970 (b) ₹2910 (c) ₹971 (d) ₹1890
  18. 18.What is 10% of 640? (a) 128 (b) 640 (c) 64 (d) 576
  19. 19.What is 5% of 480? (a) 240 (b) 48 (c) 24 (d) 456
  20. 20.A bag marked ₹1900 is sold at a 10% discount. What is its selling price? (a) ₹1710 (b) ₹2090 (c) ₹190 (d) ₹1890
  21. 21.A shopkeeper buys a toy for ₹340 and sells it for ₹510. What is his profit percent? (a) 45% (b) 50% (c) 51% (d) 55%
  22. 22.A bag marked ₹580 is sold at a 20% discount. What is its selling price? (a) ₹464 (b) ₹560 (c) ₹116 (d) ₹696
  23. 23.What is 5% of 160? (a) 16 (b) 80 (c) 8 (d) 152
  24. 24.A bag marked ₹320 is sold at a 15% discount. What is its selling price? (a) ₹368 (b) ₹48 (c) ₹272 (d) ₹305
  25. 25.What is 30% of 260? (a) 78 (b) 156 (c) 780 (d) 182
  26. 26.A shopkeeper buys a toy for ₹800 and sells it for ₹960. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 21%
  27. 27.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  28. 28.A shopkeeper buys a toy for ₹440 and sells it for ₹308. What is his loss percent? (a) 35% (b) 31% (c) 25% (d) 30%
  29. 29.A shopkeeper buys a toy for ₹640 and sells it for ₹832. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  30. 30.A bag marked ₹960 is sold at a 25% discount. What is its selling price? (a) ₹720 (b) ₹935 (c) ₹1200 (d) ₹240
  31. 31.A shopkeeper buys a toy for ₹900 and sells it for ₹855. What is his loss percent? (a) 5% (b) 10% (c) 45% (d) 6%
  32. 32.What is 75% of 120? (a) 900 (b) 30 (c) 90 (d) 180
  33. 33.A shopkeeper buys a toy for ₹140 and sells it for ₹119. What is his loss percent? (a) 20% (b) 21% (c) 15% (d) 10%
  34. 34.What is 25% of 920? (a) 460 (b) 2300 (c) 690 (d) 230
  35. 35.A shopkeeper buys a toy for ₹400 and sells it for ₹460. What is his profit percent? (a) 20% (b) 10% (c) 15% (d) 60%
  36. 36.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 14% (b) 15% (c) 5% (d) 10%
  37. 37.A shopkeeper buys a toy for ₹660 and sells it for ₹594. What is his loss percent? (a) 10% (b) 5% (c) 66% (d) 15%
  38. 38.A shopkeeper buys a toy for ₹340 and sells it for ₹425. What is his profit percent? (a) 30% (b) 25% (c) 85% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹600 and sells it for ₹480. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  40. 40.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 15% (b) 88% (c) 5% (d) 10%

Answer key

  1. 15%
  2. 40%
  3. 20%
  4. 192
  5. ₹1314
  6. 6
  7. 30%
  8. 60
  9. 50%
  10. 40%
  11. 55
  12. 10%
  13. 22
  14. 25%
  15. ₹1275
  16. 40%
  17. ₹970
  18. 64
  19. 24
  20. ₹1710
  21. 50%
  22. ₹464
  23. 8
  24. ₹272
  25. 78
  26. 20%
  27. 40%
  28. 30%
  29. 30%
  30. ₹720
  31. 5%
  32. 90
  33. 15%
  34. 230
  35. 15%
  36. 10%
  37. 10%
  38. 25%
  39. 20%
  40. 10%

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