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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 77 · 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 bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹415 (b) ₹550 (c) ₹110 (d) ₹330
  2. 2.What is 10% of 660? (a) 66 (b) 594 (c) 660 (d) 132
  3. 3.A bag marked ₹280 is sold at a 10% discount. What is its selling price? (a) ₹28 (b) ₹270 (c) ₹308 (d) ₹252
  4. 4.What is 30% of 100? (a) 60 (b) 70 (c) 300 (d) 30
  5. 5.A bag marked ₹1520 is sold at a 15% discount. What is its selling price? (a) ₹228 (b) ₹1505 (c) ₹1748 (d) ₹1292
  6. 6.What is 5% of 860? (a) 86 (b) 43 (c) 430 (d) 817
  7. 7.A shopkeeper buys a toy for ₹600 and sells it for ₹720. What is his profit percent? (a) 15% (b) 25% (c) 21% (d) 20%
  8. 8.A shopkeeper buys a toy for ₹940 and sells it for ₹705. What is his loss percent? (a) 26% (b) 30% (c) 25% (d) 20%
  9. 9.A bag marked ₹420 is sold at a 15% discount. What is its selling price? (a) ₹357 (b) ₹483 (c) ₹63 (d) ₹405
  10. 10.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 35% (b) 45% (c) 41% (d) 40%
  11. 11.A bag marked ₹1200 is sold at a 50% discount. What is its selling price? (a) ₹601 (b) ₹1150 (c) ₹1800 (d) ₹600
  12. 12.What is 10% of 420? (a) 378 (b) 84 (c) 42 (d) 420
  13. 13.A shopkeeper buys a toy for ₹520 and sells it for ₹494. What is his loss percent? (a) 26% (b) 10% (c) 6% (d) 5%
  14. 14.A bag marked ₹1200 is sold at a 20% discount. What is its selling price? (a) ₹1440 (b) ₹960 (c) ₹1180 (d) ₹240
  15. 15.A shopkeeper buys a toy for ₹660 and sells it for ₹924. What is his profit percent? (a) 41% (b) 40% (c) 45% (d) 35%
  16. 16.What is 75% of 700? (a) 1050 (b) 5250 (c) 175 (d) 525
  17. 17.A shopkeeper buys a toy for ₹180 and sells it for ₹108. What is his loss percent? (a) 40% (b) 72% (c) 45% (d) 35%
  18. 18.A shopkeeper buys a toy for ₹180 and sells it for ₹135. What is his loss percent? (a) 20% (b) 25% (c) 45% (d) 30%
  19. 19.A bag marked ₹1880 is sold at a 25% discount. What is its selling price? (a) ₹2350 (b) ₹1855 (c) ₹1410 (d) ₹470
  20. 20.A shopkeeper buys a toy for ₹660 and sells it for ₹594. What is his loss percent? (a) 5% (b) 15% (c) 66% (d) 10%
  21. 21.A shopkeeper buys a toy for ₹380 and sells it for ₹342. What is his loss percent? (a) 15% (b) 38% (c) 5% (d) 10%
  22. 22.A shopkeeper buys a toy for ₹540 and sells it for ₹810. What is his profit percent? (a) 55% (b) 51% (c) 45% (d) 50%
  23. 23.A shopkeeper buys a toy for ₹760 and sells it for ₹1064. What is his profit percent? (a) 45% (b) 35% (c) 40% (d) 41%
  24. 24.A bag marked ₹320 is sold at a 25% discount. What is its selling price? (a) ₹400 (b) ₹295 (c) ₹80 (d) ₹240
  25. 25.A bag marked ₹780 is sold at a 10% discount. What is its selling price? (a) ₹78 (b) ₹770 (c) ₹858 (d) ₹702
  26. 26.A shopkeeper buys a toy for ₹340 and sells it for ₹306. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 34%
  27. 27.A shopkeeper buys a toy for ₹140 and sells it for ₹161. What is his profit percent? (a) 20% (b) 10% (c) 21% (d) 15%
  28. 28.A shopkeeper buys a toy for ₹260 and sells it for ₹299. What is his profit percent? (a) 15% (b) 39% (c) 10% (d) 20%
  29. 29.A shopkeeper buys a toy for ₹260 and sells it for ₹338. What is his profit percent? (a) 35% (b) 78% (c) 30% (d) 25%
  30. 30.A bag marked ₹220 is sold at a 25% discount. What is its selling price? (a) ₹55 (b) ₹275 (c) ₹195 (d) ₹165
  31. 31.A bag marked ₹1100 is sold at a 10% discount. What is its selling price? (a) ₹1210 (b) ₹990 (c) ₹110 (d) ₹1090
  32. 32.A shopkeeper buys a toy for ₹500 and sells it for ₹750. What is his profit percent? (a) 51% (b) 55% (c) 50% (d) 45%
  33. 33.A shopkeeper buys a toy for ₹220 and sells it for ₹264. What is his profit percent? (a) 25% (b) 15% (c) 20% (d) 44%
  34. 34.What is 10% of 860? (a) 774 (b) 860 (c) 86 (d) 172
  35. 35.A bag marked ₹880 is sold at a 20% discount. What is its selling price? (a) ₹176 (b) ₹860 (c) ₹704 (d) ₹1056
  36. 36.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 35% (b) 30% (c) 31% (d) 25%
  37. 37.A shopkeeper buys a toy for ₹980 and sells it for ₹1274. What is his profit percent? (a) 35% (b) 30% (c) 31% (d) 25%
  38. 38.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 6% (b) 10% (c) 27% (d) 5%
  39. 39.What is 40% of 60? (a) 24 (b) 240 (c) 36 (d) 48
  40. 40.A shopkeeper buys a toy for ₹320 and sells it for ₹336. What is his profit percent? (a) 16% (b) 5% (c) 6% (d) 10%

Answer key

  1. ₹330
  2. 66
  3. ₹252
  4. 30
  5. ₹1292
  6. 43
  7. 20%
  8. 25%
  9. ₹357
  10. 40%
  11. ₹600
  12. 42
  13. 5%
  14. ₹960
  15. 40%
  16. 525
  17. 40%
  18. 25%
  19. ₹1410
  20. 10%
  21. 10%
  22. 50%
  23. 40%
  24. ₹240
  25. ₹702
  26. 10%
  27. 15%
  28. 15%
  29. 30%
  30. ₹165
  31. ₹990
  32. 50%
  33. 20%
  34. 86
  35. ₹704
  36. 30%
  37. 30%
  38. 5%
  39. 24
  40. 5%

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