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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 315 · 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 ₹600 is sold at a 30% discount. What is its selling price? (a) ₹180 (b) ₹420 (c) ₹780 (d) ₹570
  2. 2.A bag marked ₹500 is sold at a 20% discount. What is its selling price? (a) ₹100 (b) ₹600 (c) ₹480 (d) ₹400
  3. 3.A shopkeeper buys a toy for ₹140 and sells it for ₹126. What is his loss percent? (a) 5% (b) 15% (c) 14% (d) 10%
  4. 4.A shopkeeper buys a toy for ₹1000 and sells it for ₹1200. What is his profit percent? (a) 20% (b) 15% (c) 25% (d) 21%
  5. 5.A shopkeeper buys a toy for ₹400 and sells it for ₹460. What is his profit percent? (a) 20% (b) 15% (c) 60% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹1000 and sells it for ₹900. What is his loss percent? (a) 15% (b) 5% (c) 10% (d) 11%
  7. 7.What is 25% of 140? (a) 105 (b) 70 (c) 350 (d) 35
  8. 8.A bag marked ₹1940 is sold at a 40% discount. What is its selling price? (a) ₹776 (b) ₹2716 (c) ₹1900 (d) ₹1164
  9. 9.What is 10% of 340? (a) 68 (b) 340 (c) 306 (d) 34
  10. 10.What is 75% of 700? (a) 175 (b) 1050 (c) 5250 (d) 525
  11. 11.A shopkeeper buys a toy for ₹940 and sells it for ₹1081. What is his profit percent? (a) 15% (b) 16% (c) 20% (d) 10%
  12. 12.A shopkeeper buys a toy for ₹360 and sells it for ₹324. What is his loss percent? (a) 5% (b) 15% (c) 10% (d) 36%
  13. 13.What is 40% of 240? (a) 144 (b) 960 (c) 192 (d) 96
  14. 14.What is 20% of 600? (a) 240 (b) 480 (c) 1200 (d) 120
  15. 15.A bag marked ₹1380 is sold at a 10% discount. What is its selling price? (a) ₹138 (b) ₹1370 (c) ₹1518 (d) ₹1242
  16. 16.A bag marked ₹760 is sold at a 30% discount. What is its selling price? (a) ₹228 (b) ₹730 (c) ₹988 (d) ₹532
  17. 17.What is 50% of 280? (a) 280 (b) 140 (c) 141 (d) 1400
  18. 18.A bag marked ₹1540 is sold at a 25% discount. What is its selling price? (a) ₹1155 (b) ₹1925 (c) ₹1515 (d) ₹385
  19. 19.A shopkeeper buys a toy for ₹400 and sells it for ₹500. What is his profit percent? (a) 30% (b) 26% (c) 20% (d) 25%
  20. 20.What is 40% of 840? (a) 672 (b) 3360 (c) 504 (d) 336
  21. 21.What is 60% of 300? (a) 120 (b) 1800 (c) 360 (d) 180
  22. 22.A shopkeeper buys a toy for ₹100 and sells it for ₹140. What is his profit percent? (a) 35% (b) 45% (c) 40% (d) 41%
  23. 23.A bag marked ₹860 is sold at a 25% discount. What is its selling price? (a) ₹1075 (b) ₹215 (c) ₹645 (d) ₹835
  24. 24.A bag marked ₹360 is sold at a 20% discount. What is its selling price? (a) ₹72 (b) ₹432 (c) ₹288 (d) ₹340
  25. 25.What is 20% of 720? (a) 288 (b) 576 (c) 144 (d) 1440
  26. 26.A shopkeeper buys a toy for ₹680 and sells it for ₹544. What is his loss percent? (a) 20% (b) 15% (c) 25% (d) 21%
  27. 27.What is 15% of 100? (a) 15 (b) 150 (c) 85 (d) 30
  28. 28.A shopkeeper buys a toy for ₹620 and sells it for ₹930. What is his profit percent? (a) 50% (b) 45% (c) 55% (d) 51%
  29. 29.A bag marked ₹580 is sold at a 50% discount. What is its selling price? (a) ₹290 (b) ₹291 (c) ₹530 (d) ₹870
  30. 30.What is 20% of 380? (a) 304 (b) 152 (c) 76 (d) 760
  31. 31.A shopkeeper buys a toy for ₹500 and sells it for ₹350. What is his loss percent? (a) 35% (b) 25% (c) 30% (d) 31%
  32. 32.A shopkeeper buys a toy for ₹280 and sells it for ₹252. What is his loss percent? (a) 10% (b) 15% (c) 5% (d) 28%
  33. 33.A bag marked ₹500 is sold at a 40% discount. What is its selling price? (a) ₹200 (b) ₹460 (c) ₹700 (d) ₹300
  34. 34.A shopkeeper buys a toy for ₹600 and sells it for ₹420. What is his loss percent? (a) 25% (b) 31% (c) 35% (d) 30%
  35. 35.What is 15% of 980? (a) 833 (b) 294 (c) 147 (d) 1470
  36. 36.A shopkeeper buys a toy for ₹620 and sells it for ₹434. What is his loss percent? (a) 25% (b) 30% (c) 31% (d) 35%
  37. 37.A shopkeeper buys a toy for ₹840 and sells it for ₹1092. What is his profit percent? (a) 30% (b) 25% (c) 35% (d) 31%
  38. 38.What is 10% of 540? (a) 54 (b) 486 (c) 108 (d) 540
  39. 39.What is 10% of 580? (a) 580 (b) 58 (c) 116 (d) 522
  40. 40.A bag marked ₹540 is sold at a 50% discount. What is its selling price? (a) ₹270 (b) ₹271 (c) ₹490 (d) ₹810

Answer key

  1. ₹420
  2. ₹400
  3. 10%
  4. 20%
  5. 15%
  6. 10%
  7. 35
  8. ₹1164
  9. 34
  10. 525
  11. 15%
  12. 10%
  13. 96
  14. 120
  15. ₹1242
  16. ₹532
  17. 140
  18. ₹1155
  19. 25%
  20. 336
  21. 180
  22. 40%
  23. ₹645
  24. ₹288
  25. 144
  26. 20%
  27. 15
  28. 50%
  29. ₹290
  30. 76
  31. 30%
  32. 10%
  33. ₹300
  34. 30%
  35. 147
  36. 30%
  37. 30%
  38. 54
  39. 58
  40. ₹270

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