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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 595 · 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 ₹760 and sells it for ₹1140. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  2. 2.What is 30% of 940? (a) 2820 (b) 564 (c) 282 (d) 658
  3. 3.A shopkeeper buys a toy for ₹1000 and sells it for ₹800. What is his loss percent? (a) 20% (b) 21% (c) 25% (d) 15%
  4. 4.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹1985 (b) ₹1700 (c) ₹300 (d) ₹2300
  5. 5.A shopkeeper buys a toy for ₹660 and sells it for ₹726. What is his profit percent? (a) 66% (b) 10% (c) 15% (d) 5%
  6. 6.A shopkeeper buys a toy for ₹200 and sells it for ₹300. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  7. 7.What is 40% of 300? (a) 1200 (b) 120 (c) 180 (d) 240
  8. 8.A shopkeeper buys a toy for ₹700 and sells it for ₹910. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  9. 9.A shopkeeper buys a toy for ₹200 and sells it for ₹220. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 5%
  10. 10.A shopkeeper buys a toy for ₹440 and sells it for ₹528. What is his profit percent? (a) 15% (b) 20% (c) 25% (d) 88%
  11. 11.A shopkeeper buys a toy for ₹940 and sells it for ₹846. What is his loss percent? (a) 94% (b) 5% (c) 10% (d) 15%
  12. 12.A shopkeeper buys a toy for ₹680 and sells it for ₹476. What is his loss percent? (a) 35% (b) 30% (c) 25% (d) 31%
  13. 13.A bag marked ₹1540 is sold at a 15% discount. What is its selling price? (a) ₹231 (b) ₹1771 (c) ₹1309 (d) ₹1525
  14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹168. What is his profit percent? (a) 5% (b) 6% (c) 8% (d) 10%
  15. 15.A shopkeeper buys a toy for ₹160 and sells it for ₹208. What is his profit percent? (a) 35% (b) 30% (c) 48% (d) 25%
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹1250. What is his profit percent? (a) 26% (b) 25% (c) 20% (d) 30%
  17. 17.A shopkeeper buys a toy for ₹400 and sells it for ₹240. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  18. 18.A shopkeeper buys a toy for ₹400 and sells it for ₹440. What is his profit percent? (a) 5% (b) 40% (c) 15% (d) 10%
  19. 19.A bag marked ₹1980 is sold at a 20% discount. What is its selling price? (a) ₹2376 (b) ₹1960 (c) ₹396 (d) ₹1584
  20. 20.A shopkeeper buys a toy for ₹480 and sells it for ₹528. What is his profit percent? (a) 5% (b) 48% (c) 10% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 34% (b) 15% (c) 10% (d) 5%
  22. 22.A shopkeeper buys a toy for ₹760 and sells it for ₹798. What is his profit percent? (a) 6% (b) 5% (c) 10% (d) 38%
  23. 23.A shopkeeper buys a toy for ₹360 and sells it for ₹288. What is his loss percent? (a) 25% (b) 72% (c) 15% (d) 20%
  24. 24.A shopkeeper buys a toy for ₹280 and sells it for ₹238. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 42%
  25. 25.A shopkeeper buys a toy for ₹920 and sells it for ₹874. What is his loss percent? (a) 6% (b) 46% (c) 10% (d) 5%
  26. 26.A shopkeeper buys a toy for ₹420 and sells it for ₹336. What is his loss percent? (a) 84% (b) 20% (c) 25% (d) 15%
  27. 27.A bag marked ₹1660 is sold at a 50% discount. What is its selling price? (a) ₹831 (b) ₹2490 (c) ₹1610 (d) ₹830
  28. 28.What is 20% of 920? (a) 1840 (b) 736 (c) 184 (d) 368
  29. 29.A shopkeeper buys a toy for ₹1000 and sells it for ₹1300. What is his profit percent? (a) 25% (b) 35% (c) 31% (d) 30%
  30. 30.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹1200 (b) ₹200 (c) ₹800 (d) ₹980
  31. 31.A bag marked ₹1740 is sold at a 25% discount. What is its selling price? (a) ₹1715 (b) ₹435 (c) ₹2175 (d) ₹1305
  32. 32.What is 30% of 140? (a) 84 (b) 98 (c) 42 (d) 420
  33. 33.A shopkeeper buys a toy for ₹640 and sells it for ₹960. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  34. 34.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 10% (b) 5% (c) 14% (d) 6%
  35. 35.A bag marked ₹820 is sold at a 15% discount. What is its selling price? (a) ₹123 (b) ₹805 (c) ₹697 (d) ₹943
  36. 36.A shopkeeper buys a toy for ₹220 and sells it for ₹231. What is his profit percent? (a) 5% (b) 11% (c) 6% (d) 10%
  37. 37.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹215 (b) ₹645 (c) ₹1075 (d) ₹835
  38. 38.A shopkeeper buys a toy for ₹780 and sells it for ₹858. What is his profit percent? (a) 5% (b) 78% (c) 15% (d) 10%
  39. 39.What is 50% of 60? (a) 60 (b) 30 (c) 31 (d) 300
  40. 40.A shopkeeper buys a toy for ₹560 and sells it for ₹616. What is his profit percent? (a) 5% (b) 15% (c) 10% (d) 56%

Answer key

  1. 50%
  2. 282
  3. 20%
  4. ₹1700
  5. 10%
  6. 50%
  7. 120
  8. 30%
  9. 10%
  10. 20%
  11. 10%
  12. 30%
  13. ₹1309
  14. 5%
  15. 30%
  16. 25%
  17. 40%
  18. 10%
  19. ₹1584
  20. 10%
  21. 10%
  22. 5%
  23. 20%
  24. 15%
  25. 5%
  26. 20%
  27. ₹830
  28. 184
  29. 30%
  30. ₹800
  31. ₹1305
  32. 42
  33. 50%
  34. 5%
  35. ₹697
  36. 5%
  37. ₹645
  38. 10%
  39. 30
  40. 10%

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