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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 285 · 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 ₹340 and sells it for ₹408. What is his profit percent? (a) 15% (b) 20% (c) 68% (d) 25%
  2. 2.A shopkeeper buys a toy for ₹260 and sells it for ₹247. What is his loss percent? (a) 10% (b) 13% (c) 5% (d) 6%
  3. 3.A bag marked ₹480 is sold at a 15% discount. What is its selling price? (a) ₹72 (b) ₹408 (c) ₹552 (d) ₹465
  4. 4.A bag marked ₹580 is sold at a 25% discount. What is its selling price? (a) ₹145 (b) ₹555 (c) ₹725 (d) ₹435
  5. 5.What is 10% of 140? (a) 126 (b) 14 (c) 140 (d) 28
  6. 6.A shopkeeper buys a toy for ₹840 and sells it for ₹630. What is his loss percent? (a) 30% (b) 25% (c) 20% (d) 26%
  7. 7.A shopkeeper buys a toy for ₹500 and sells it for ₹450. What is his loss percent? (a) 10% (b) 50% (c) 5% (d) 15%
  8. 8.What is 15% of 740? (a) 222 (b) 111 (c) 1110 (d) 629
  9. 9.What is 15% of 200? (a) 300 (b) 30 (c) 60 (d) 170
  10. 10.A shopkeeper buys a toy for ₹280 and sells it for ₹336. What is his profit percent? (a) 15% (b) 25% (c) 20% (d) 56%
  11. 11.A bag marked ₹260 is sold at a 25% discount. What is its selling price? (a) ₹325 (b) ₹235 (c) ₹65 (d) ₹195
  12. 12.A bag marked ₹600 is sold at a 25% discount. What is its selling price? (a) ₹150 (b) ₹450 (c) ₹575 (d) ₹750
  13. 13.A bag marked ₹780 is sold at a 40% discount. What is its selling price? (a) ₹468 (b) ₹1092 (c) ₹312 (d) ₹740
  14. 14.A shopkeeper buys a toy for ₹820 and sells it for ₹738. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 82%
  15. 15.A bag marked ₹620 is sold at a 10% discount. What is its selling price? (a) ₹610 (b) ₹682 (c) ₹62 (d) ₹558
  16. 16.What is 25% of 160? (a) 80 (b) 120 (c) 40 (d) 400
  17. 17.What is 50% of 620? (a) 311 (b) 3100 (c) 310 (d) 620
  18. 18.A bag marked ₹2000 is sold at a 15% discount. What is its selling price? (a) ₹1700 (b) ₹300 (c) ₹2300 (d) ₹1985
  19. 19.A shopkeeper buys a toy for ₹960 and sells it for ₹864. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 96%
  20. 20.A shopkeeper buys a toy for ₹980 and sells it for ₹1274. What is his profit percent? (a) 25% (b) 30% (c) 31% (d) 35%
  21. 21.A bag marked ₹1000 is sold at a 20% discount. What is its selling price? (a) ₹800 (b) ₹980 (c) ₹200 (d) ₹1200
  22. 22.A bag marked ₹740 is sold at a 15% discount. What is its selling price? (a) ₹725 (b) ₹851 (c) ₹629 (d) ₹111
  23. 23.A shopkeeper buys a toy for ₹340 and sells it for ₹204. What is his loss percent? (a) 40% (b) 45% (c) 35% (d) 41%
  24. 24.A shopkeeper buys a toy for ₹160 and sells it for ₹128. What is his loss percent? (a) 25% (b) 20% (c) 32% (d) 15%
  25. 25.A bag marked ₹1780 is sold at a 30% discount. What is its selling price? (a) ₹2314 (b) ₹1750 (c) ₹1246 (d) ₹534
  26. 26.A shopkeeper buys a toy for ₹940 and sells it for ₹1081. What is his profit percent? (a) 20% (b) 10% (c) 16% (d) 15%
  27. 27.A shopkeeper buys a toy for ₹820 and sells it for ₹779. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 41%
  28. 28.What is 60% of 400? (a) 160 (b) 240 (c) 2400 (d) 480
  29. 29.A shopkeeper buys a toy for ₹200 and sells it for ₹160. What is his loss percent? (a) 25% (b) 15% (c) 20% (d) 40%
  30. 30.What is 40% of 60? (a) 240 (b) 48 (c) 24 (d) 36
  31. 31.What is 10% of 440? (a) 88 (b) 396 (c) 440 (d) 44
  32. 32.A shopkeeper buys a toy for ₹400 and sells it for ₹600. What is his profit percent? (a) 55% (b) 45% (c) 51% (d) 50%
  33. 33.What is 40% of 840? (a) 672 (b) 3360 (c) 504 (d) 336
  34. 34.A shopkeeper buys a toy for ₹440 and sells it for ₹418. What is his loss percent? (a) 22% (b) 10% (c) 5% (d) 6%
  35. 35.What is 40% of 540? (a) 216 (b) 324 (c) 2160 (d) 432
  36. 36.What is 5% of 720? (a) 684 (b) 72 (c) 36 (d) 360
  37. 37.A shopkeeper buys a toy for ₹960 and sells it for ₹720. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  38. 38.A shopkeeper buys a toy for ₹760 and sells it for ₹608. What is his loss percent? (a) 15% (b) 21% (c) 25% (d) 20%
  39. 39.A shopkeeper buys a toy for ₹720 and sells it for ₹576. What is his loss percent? (a) 20% (b) 15% (c) 21% (d) 25%
  40. 40.What is 10% of 600? (a) 120 (b) 60 (c) 600 (d) 540

Answer key

  1. 20%
  2. 5%
  3. ₹408
  4. ₹435
  5. 14
  6. 25%
  7. 10%
  8. 111
  9. 30
  10. 20%
  11. ₹195
  12. ₹450
  13. ₹468
  14. 10%
  15. ₹558
  16. 40
  17. 310
  18. ₹1700
  19. 10%
  20. 30%
  21. ₹800
  22. ₹629
  23. 40%
  24. 20%
  25. ₹1246
  26. 15%
  27. 5%
  28. 240
  29. 20%
  30. 24
  31. 44
  32. 50%
  33. 336
  34. 5%
  35. 216
  36. 36
  37. 25%
  38. 20%
  39. 20%
  40. 60

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