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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 776 · 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 ₹550. What is his profit percent? (a) 20% (b) 26% (c) 30% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹580 and sells it for ₹406. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%
  3. 3.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 10% (b) 5% (c) 15% (d) 22%
  4. 4.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 10% (b) 15% (c) 94% (d) 5%
  5. 5.What is 5% of 180? (a) 171 (b) 9 (c) 18 (d) 90
  6. 6.What is 15% of 440? (a) 132 (b) 66 (c) 660 (d) 374
  7. 7.A bag marked ₹740 is sold at a 40% discount. What is its selling price? (a) ₹296 (b) ₹444 (c) ₹1036 (d) ₹700
  8. 8.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 15% (b) 20% (c) 45% (d) 10%
  9. 9.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 80%
  10. 10.What is 60% of 440? (a) 2640 (b) 176 (c) 528 (d) 264
  11. 11.A shopkeeper buys a toy for ₹200 and sells it for ₹170. What is his loss percent? (a) 20% (b) 10% (c) 15% (d) 30%
  12. 12.A shopkeeper buys a toy for ₹640 and sells it for ₹768. What is his profit percent? (a) 20% (b) 21% (c) 15% (d) 25%
  13. 13.A shopkeeper buys a toy for ₹260 and sells it for ₹325. What is his profit percent? (a) 20% (b) 30% (c) 25% (d) 65%
  14. 14.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 5% (b) 42% (c) 10% (d) 6%
  15. 15.What is 10% of 700? (a) 140 (b) 70 (c) 700 (d) 630
  16. 16.A bag marked ₹1980 is sold at a 40% discount. What is its selling price? (a) ₹1188 (b) ₹792 (c) ₹1940 (d) ₹2772
  17. 17.A bag marked ₹720 is sold at a 10% discount. What is its selling price? (a) ₹72 (b) ₹710 (c) ₹648 (d) ₹792
  18. 18.What is 40% of 600? (a) 2400 (b) 240 (c) 360 (d) 480
  19. 19.A shopkeeper buys a toy for ₹580 and sells it for ₹696. What is his profit percent? (a) 25% (b) 20% (c) 21% (d) 15%
  20. 20.A bag marked ₹1080 is sold at a 20% discount. What is its selling price? (a) ₹1060 (b) ₹216 (c) ₹1296 (d) ₹864
  21. 21.A shopkeeper buys a toy for ₹880 and sells it for ₹836. What is his loss percent? (a) 44% (b) 10% (c) 5% (d) 6%
  22. 22.A shopkeeper buys a toy for ₹100 and sells it for ₹85. What is his loss percent? (a) 20% (b) 10% (c) 16% (d) 15%
  23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹324. What is his loss percent? (a) 36% (b) 5% (c) 15% (d) 10%
  24. 24.A bag marked ₹1820 is sold at a 20% discount. What is its selling price? (a) ₹1800 (b) ₹2184 (c) ₹1456 (d) ₹364
  25. 25.What is 10% of 980? (a) 882 (b) 980 (c) 196 (d) 98
  26. 26.What is 30% of 80? (a) 240 (b) 48 (c) 24 (d) 56
  27. 27.A shopkeeper buys a toy for ₹340 and sells it for ₹323. What is his loss percent? (a) 10% (b) 5% (c) 17% (d) 6%
  28. 28.A bag marked ₹560 is sold at a 25% discount. What is its selling price? (a) ₹420 (b) ₹140 (c) ₹700 (d) ₹535
  29. 29.What is 75% of 900? (a) 6750 (b) 675 (c) 225 (d) 1350
  30. 30.A bag marked ₹1720 is sold at a 50% discount. What is its selling price? (a) ₹861 (b) ₹2580 (c) ₹1670 (d) ₹860
  31. 31.A shopkeeper buys a toy for ₹160 and sells it for ₹136. What is his loss percent? (a) 24% (b) 15% (c) 10% (d) 20%
  32. 32.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹400 (b) ₹295 (c) ₹240 (d) ₹80
  33. 33.A bag marked ₹1220 is sold at a 25% discount. What is its selling price? (a) ₹1525 (b) ₹1195 (c) ₹305 (d) ₹915
  34. 34.What is 25% of 900? (a) 450 (b) 2250 (c) 225 (d) 675
  35. 35.A shopkeeper buys a toy for ₹960 and sells it for ₹1056. What is his profit percent? (a) 15% (b) 10% (c) 5% (d) 96%
  36. 36.A shopkeeper buys a toy for ₹600 and sells it for ₹780. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  37. 37.A bag marked ₹1660 is sold at a 30% discount. What is its selling price? (a) ₹1630 (b) ₹2158 (c) ₹498 (d) ₹1162
  38. 38.A bag marked ₹1480 is sold at a 40% discount. What is its selling price? (a) ₹592 (b) ₹888 (c) ₹1440 (d) ₹2072
  39. 39.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 6% (b) 5% (c) 26% (d) 10%
  40. 40.A bag marked ₹1140 is sold at a 40% discount. What is its selling price? (a) ₹1100 (b) ₹684 (c) ₹1596 (d) ₹456

Answer key

  1. 25%
  2. 30%
  3. 10%
  4. 10%
  5. 9
  6. 66
  7. ₹444
  8. 15%
  9. 20%
  10. 264
  11. 15%
  12. 20%
  13. 25%
  14. 5%
  15. 70
  16. ₹1188
  17. ₹648
  18. 240
  19. 20%
  20. ₹864
  21. 5%
  22. 15%
  23. 10%
  24. ₹1456
  25. 98
  26. 24
  27. 5%
  28. ₹420
  29. 675
  30. ₹860
  31. 15%
  32. ₹240
  33. ₹915
  34. 225
  35. 10%
  36. 30%
  37. ₹1162
  38. ₹888
  39. 5%
  40. ₹684

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