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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 438 · 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 ₹700 and sells it for ₹665. What is his loss percent? (a) 35% (b) 10% (c) 5% (d) 6%
  2. 2.A shopkeeper buys a toy for ₹980 and sells it for ₹1029. What is his profit percent? (a) 10% (b) 49% (c) 6% (d) 5%
  3. 3.A bag marked ₹1880 is sold at a 30% discount. What is its selling price? (a) ₹1850 (b) ₹1316 (c) ₹2444 (d) ₹564
  4. 4.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 15% (b) 45% (c) 20% (d) 10%
  5. 5.A shopkeeper buys a toy for ₹880 and sells it for ₹1100. What is his profit percent? (a) 20% (b) 25% (c) 26% (d) 30%
  6. 6.A shopkeeper buys a toy for ₹940 and sells it for ₹564. What is his loss percent? (a) 40% (b) 35% (c) 45% (d) 41%
  7. 7.A bag marked ₹380 is sold at a 40% discount. What is its selling price? (a) ₹152 (b) ₹532 (c) ₹228 (d) ₹340
  8. 8.A shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 10% (b) 19% (c) 6% (d) 5%
  9. 9.A shopkeeper buys a toy for ₹840 and sells it for ₹504. What is his loss percent? (a) 35% (b) 41% (c) 45% (d) 40%
  10. 10.What is 25% of 220? (a) 165 (b) 110 (c) 55 (d) 550
  11. 11.What is 60% of 180? (a) 108 (b) 216 (c) 72 (d) 1080
  12. 12.A bag marked ₹520 is sold at a 15% discount. What is its selling price? (a) ₹442 (b) ₹78 (c) ₹505 (d) ₹598
  13. 13.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 10% (b) 28% (c) 15% (d) 5%
  14. 14.A shopkeeper buys a toy for ₹700 and sells it for ₹1050. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  15. 15.A shopkeeper buys a toy for ₹260 and sells it for ₹390. What is his profit percent? (a) 55% (b) 50% (c) 51% (d) 45%
  16. 16.A shopkeeper buys a toy for ₹1000 and sells it for ₹1500. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  17. 17.A shopkeeper buys a toy for ₹560 and sells it for ₹784. What is his profit percent? (a) 35% (b) 41% (c) 40% (d) 45%
  18. 18.A shopkeeper buys a toy for ₹900 and sells it for ₹720. What is his loss percent? (a) 25% (b) 21% (c) 20% (d) 15%
  19. 19.A bag marked ₹1540 is sold at a 10% discount. What is its selling price? (a) ₹154 (b) ₹1694 (c) ₹1530 (d) ₹1386
  20. 20.A shopkeeper buys a toy for ₹780 and sells it for ₹663. What is his loss percent? (a) 15% (b) 20% (c) 16% (d) 10%
  21. 21.What is 15% of 480? (a) 720 (b) 144 (c) 408 (d) 72
  22. 22.What is 25% of 520? (a) 130 (b) 260 (c) 1300 (d) 390
  23. 23.A shopkeeper buys a toy for ₹260 and sells it for ₹234. What is his loss percent? (a) 26% (b) 15% (c) 5% (d) 10%
  24. 24.A shopkeeper buys a toy for ₹320 and sells it for ₹256. What is his loss percent? (a) 25% (b) 64% (c) 15% (d) 20%
  25. 25.A bag marked ₹1980 is sold at a 15% discount. What is its selling price? (a) ₹1965 (b) ₹2277 (c) ₹297 (d) ₹1683
  26. 26.What is 25% of 700? (a) 1750 (b) 525 (c) 350 (d) 175
  27. 27.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 51% (b) 45% (c) 50% (d) 55%
  28. 28.A shopkeeper buys a toy for ₹400 and sells it for ₹440. What is his profit percent? (a) 10% (b) 40% (c) 5% (d) 15%
  29. 29.A shopkeeper buys a toy for ₹960 and sells it for ₹1200. What is his profit percent? (a) 25% (b) 26% (c) 30% (d) 20%
  30. 30.A bag marked ₹1580 is sold at a 10% discount. What is its selling price? (a) ₹1738 (b) ₹158 (c) ₹1570 (d) ₹1422
  31. 31.A shopkeeper buys a toy for ₹200 and sells it for ₹210. What is his profit percent? (a) 6% (b) 10% (c) 4% (d) 5%
  32. 32.A shopkeeper buys a toy for ₹340 and sells it for ₹255. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 85%
  33. 33.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 25% (b) 32% (c) 15% (d) 20%
  34. 34.What is 5% of 560? (a) 532 (b) 56 (c) 280 (d) 28
  35. 35.What is 25% of 440? (a) 1100 (b) 110 (c) 330 (d) 220
  36. 36.A bag marked ₹1240 is sold at a 40% discount. What is its selling price? (a) ₹1200 (b) ₹1736 (c) ₹744 (d) ₹496
  37. 37.A shopkeeper buys a toy for ₹320 and sells it for ₹448. What is his profit percent? (a) 45% (b) 35% (c) 41% (d) 40%
  38. 38.A shopkeeper buys a toy for ₹400 and sells it for ₹320. What is his loss percent? (a) 15% (b) 80% (c) 25% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹220 and sells it for ₹308. What is his profit percent? (a) 88% (b) 45% (c) 35% (d) 40%
  40. 40.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 21% (b) 25% (c) 20% (d) 15%

Answer key

  1. 5%
  2. 5%
  3. ₹1316
  4. 15%
  5. 25%
  6. 40%
  7. ₹228
  8. 5%
  9. 40%
  10. 55
  11. 108
  12. ₹442
  13. 10%
  14. 50%
  15. 50%
  16. 50%
  17. 40%
  18. 20%
  19. ₹1386
  20. 15%
  21. 72
  22. 130
  23. 10%
  24. 20%
  25. ₹1683
  26. 175
  27. 50%
  28. 10%
  29. 25%
  30. ₹1422
  31. 5%
  32. 25%
  33. 20%
  34. 28
  35. 110
  36. ₹744
  37. 40%
  38. 20%
  39. 40%
  40. 20%

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