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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 313 · 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 ₹700 is sold at a 20% discount. What is its selling price? (a) ₹840 (b) ₹140 (c) ₹560 (d) ₹680
  2. 2.What is 60% of 940? (a) 564 (b) 1128 (c) 376 (d) 5640
  3. 3.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 20% (b) 25% (c) 26% (d) 30%
  4. 4.A shopkeeper buys a toy for ₹960 and sells it for ₹768. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  5. 5.What is 20% of 400? (a) 320 (b) 160 (c) 800 (d) 80
  6. 6.A shopkeeper buys a toy for ₹480 and sells it for ₹624. What is his profit percent? (a) 31% (b) 30% (c) 35% (d) 25%
  7. 7.A shopkeeper buys a toy for ₹520 and sells it for ₹442. What is his loss percent? (a) 10% (b) 20% (c) 15% (d) 78%
  8. 8.What is 75% of 760? (a) 190 (b) 570 (c) 5700 (d) 1140
  9. 9.What is 15% of 720? (a) 1080 (b) 612 (c) 216 (d) 108
  10. 10.A bag marked ₹1620 is sold at a 15% discount. What is its selling price? (a) ₹1605 (b) ₹243 (c) ₹1863 (d) ₹1377
  11. 11.What is 60% of 780? (a) 468 (b) 4680 (c) 312 (d) 936
  12. 12.What is 25% of 140? (a) 70 (b) 350 (c) 105 (d) 35
  13. 13.A shopkeeper buys a toy for ₹220 and sells it for ₹242. What is his profit percent? (a) 10% (b) 5% (c) 15% (d) 22%
  14. 14.What is 10% of 800? (a) 800 (b) 80 (c) 720 (d) 160
  15. 15.A shopkeeper buys a toy for ₹300 and sells it for ₹360. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 60%
  16. 16.A shopkeeper buys a toy for ₹980 and sells it for ₹784. What is his loss percent? (a) 21% (b) 15% (c) 25% (d) 20%
  17. 17.A bag marked ₹1200 is sold at a 50% discount. What is its selling price? (a) ₹1150 (b) ₹600 (c) ₹601 (d) ₹1800
  18. 18.A bag marked ₹720 is sold at a 10% discount. What is its selling price? (a) ₹710 (b) ₹72 (c) ₹648 (d) ₹792
  19. 19.A bag marked ₹480 is sold at a 40% discount. What is its selling price? (a) ₹440 (b) ₹192 (c) ₹672 (d) ₹288
  20. 20.A bag marked ₹1440 is sold at a 15% discount. What is its selling price? (a) ₹216 (b) ₹1425 (c) ₹1656 (d) ₹1224
  21. 21.What is 30% of 900? (a) 270 (b) 630 (c) 540 (d) 2700
  22. 22.A shopkeeper buys a toy for ₹760 and sells it for ₹988. What is his profit percent? (a) 35% (b) 31% (c) 25% (d) 30%
  23. 23.A shopkeeper buys a toy for ₹160 and sells it for ₹152. What is his loss percent? (a) 8% (b) 10% (c) 5% (d) 6%
  24. 24.A shopkeeper buys a toy for ₹840 and sells it for ₹588. What is his loss percent? (a) 30% (b) 31% (c) 35% (d) 25%
  25. 25.A bag marked ₹1540 is sold at a 50% discount. What is its selling price? (a) ₹1490 (b) ₹771 (c) ₹770 (d) ₹2310
  26. 26.A bag marked ₹920 is sold at a 50% discount. What is its selling price? (a) ₹870 (b) ₹461 (c) ₹1380 (d) ₹460
  27. 27.A shopkeeper buys a toy for ₹340 and sells it for ₹323. What is his loss percent? (a) 10% (b) 17% (c) 6% (d) 5%
  28. 28.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 10% (b) 5% (c) 6% (d) 14%
  29. 29.A shopkeeper buys a toy for ₹220 and sells it for ₹198. What is his loss percent? (a) 5% (b) 10% (c) 15% (d) 22%
  30. 30.A shopkeeper buys a toy for ₹520 and sells it for ₹650. What is his profit percent? (a) 26% (b) 25% (c) 30% (d) 20%
  31. 31.What is 15% of 80? (a) 68 (b) 120 (c) 24 (d) 12
  32. 32.A shopkeeper buys a toy for ₹320 and sells it for ₹400. What is his profit percent? (a) 80% (b) 30% (c) 20% (d) 25%
  33. 33.A bag marked ₹260 is sold at a 40% discount. What is its selling price? (a) ₹104 (b) ₹156 (c) ₹364 (d) ₹220
  34. 34.A shopkeeper buys a toy for ₹300 and sells it for ₹420. What is his profit percent? (a) 35% (b) 41% (c) 45% (d) 40%
  35. 35.A shopkeeper buys a toy for ₹300 and sells it for ₹255. What is his loss percent? (a) 45% (b) 15% (c) 10% (d) 20%
  36. 36.A shopkeeper buys a toy for ₹620 and sells it for ₹806. What is his profit percent? (a) 31% (b) 35% (c) 30% (d) 25%
  37. 37.A shopkeeper buys a toy for ₹740 and sells it for ₹1110. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  38. 38.What is 15% of 320? (a) 96 (b) 272 (c) 48 (d) 480
  39. 39.A shopkeeper buys a toy for ₹160 and sells it for ₹112. What is his loss percent? (a) 25% (b) 30% (c) 48% (d) 35%
  40. 40.A shopkeeper buys a toy for ₹400 and sells it for ₹280. What is his loss percent? (a) 35% (b) 25% (c) 31% (d) 30%

Answer key

  1. ₹560
  2. 564
  3. 25%
  4. 20%
  5. 80
  6. 30%
  7. 15%
  8. 570
  9. 108
  10. ₹1377
  11. 468
  12. 35
  13. 10%
  14. 80
  15. 20%
  16. 20%
  17. ₹600
  18. ₹648
  19. ₹288
  20. ₹1224
  21. 270
  22. 30%
  23. 5%
  24. 30%
  25. ₹770
  26. ₹460
  27. 5%
  28. 5%
  29. 10%
  30. 25%
  31. 12
  32. 25%
  33. ₹156
  34. 40%
  35. 15%
  36. 30%
  37. 50%
  38. 48
  39. 30%
  40. 30%

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