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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 203 · 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 ₹560 and sells it for ₹784. What is his profit percent? (a) 41% (b) 35% (c) 40% (d) 45%
  2. 2.A shopkeeper buys a toy for ₹580 and sells it for ₹870. What is his profit percent? (a) 50% (b) 55% (c) 45% (d) 51%
  3. 3.What is 5% of 740? (a) 37 (b) 703 (c) 370 (d) 74
  4. 4.A shopkeeper buys a toy for ₹420 and sells it for ₹525. What is his profit percent? (a) 20% (b) 30% (c) 26% (d) 25%
  5. 5.What is 40% of 620? (a) 2480 (b) 372 (c) 248 (d) 496
  6. 6.What is 20% of 980? (a) 392 (b) 784 (c) 196 (d) 1960
  7. 7.What is 30% of 860? (a) 602 (b) 2580 (c) 516 (d) 258
  8. 8.A shopkeeper buys a toy for ₹160 and sells it for ₹144. What is his loss percent? (a) 10% (b) 5% (c) 16% (d) 15%
  9. 9.A bag marked ₹460 is sold at a 40% discount. What is its selling price? (a) ₹276 (b) ₹184 (c) ₹644 (d) ₹420
  10. 10.A shopkeeper buys a toy for ₹480 and sells it for ₹408. What is his loss percent? (a) 10% (b) 15% (c) 20% (d) 72%
  11. 11.A shopkeeper buys a toy for ₹300 and sells it for ₹345. What is his profit percent? (a) 15% (b) 20% (c) 45% (d) 10%
  12. 12.What is 50% of 340? (a) 171 (b) 1700 (c) 170 (d) 340
  13. 13.What is 40% of 420? (a) 168 (b) 252 (c) 336 (d) 1680
  14. 14.A shopkeeper buys a toy for ₹160 and sells it for ₹240. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 80%
  15. 15.A bag marked ₹520 is sold at a 15% discount. What is its selling price? (a) ₹505 (b) ₹598 (c) ₹78 (d) ₹442
  16. 16.A shopkeeper buys a toy for ₹980 and sells it for ₹735. What is his loss percent? (a) 30% (b) 26% (c) 25% (d) 20%
  17. 17.A shopkeeper buys a toy for ₹680 and sells it for ₹952. What is his profit percent? (a) 41% (b) 35% (c) 45% (d) 40%
  18. 18.A shopkeeper buys a toy for ₹240 and sells it for ₹192. What is his loss percent? (a) 48% (b) 25% (c) 15% (d) 20%
  19. 19.What is 30% of 560? (a) 336 (b) 1680 (c) 168 (d) 392
  20. 20.What is 5% of 560? (a) 56 (b) 532 (c) 28 (d) 280
  21. 21.A bag marked ₹1500 is sold at a 25% discount. What is its selling price? (a) ₹375 (b) ₹1875 (c) ₹1125 (d) ₹1475
  22. 22.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹1428 (b) ₹612 (c) ₹408 (d) ₹980
  23. 23.A bag marked ₹700 is sold at a 25% discount. What is its selling price? (a) ₹175 (b) ₹675 (c) ₹875 (d) ₹525
  24. 24.A shopkeeper buys a toy for ₹1000 and sells it for ₹1050. What is his profit percent? (a) 10% (b) 50% (c) 5% (d) 6%
  25. 25.A shopkeeper buys a toy for ₹920 and sells it for ₹690. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 26%
  26. 26.A shopkeeper buys a toy for ₹840 and sells it for ₹798. What is his loss percent? (a) 5% (b) 10% (c) 6% (d) 42%
  27. 27.A shopkeeper buys a toy for ₹280 and sells it for ₹266. What is his loss percent? (a) 10% (b) 6% (c) 14% (d) 5%
  28. 28.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 33%
  29. 29.What is 50% of 540? (a) 540 (b) 2700 (c) 270 (d) 271
  30. 30.A bag marked ₹660 is sold at a 25% discount. What is its selling price? (a) ₹495 (b) ₹635 (c) ₹825 (d) ₹165
  31. 31.What is 40% of 400? (a) 240 (b) 160 (c) 1600 (d) 320
  32. 32.A bag marked ₹1080 is sold at a 20% discount. What is its selling price? (a) ₹1060 (b) ₹216 (c) ₹1296 (d) ₹864
  33. 33.A shopkeeper buys a toy for ₹220 and sells it for ₹308. What is his profit percent? (a) 45% (b) 40% (c) 88% (d) 35%
  34. 34.A bag marked ₹440 is sold at a 40% discount. What is its selling price? (a) ₹616 (b) ₹400 (c) ₹264 (d) ₹176
  35. 35.What is 10% of 320? (a) 288 (b) 320 (c) 32 (d) 64
  36. 36.A bag marked ₹480 is sold at a 40% discount. What is its selling price? (a) ₹192 (b) ₹288 (c) ₹440 (d) ₹672
  37. 37.What is 60% of 560? (a) 3360 (b) 672 (c) 336 (d) 224
  38. 38.A shopkeeper buys a toy for ₹560 and sells it for ₹392. What is his loss percent? (a) 31% (b) 30% (c) 35% (d) 25%
  39. 39.What is 15% of 340? (a) 102 (b) 289 (c) 51 (d) 510
  40. 40.A shopkeeper buys a toy for ₹300 and sells it for ₹225. What is his loss percent? (a) 20% (b) 30% (c) 25% (d) 75%

Answer key

  1. 40%
  2. 50%
  3. 37
  4. 25%
  5. 248
  6. 196
  7. 258
  8. 10%
  9. ₹276
  10. 15%
  11. 15%
  12. 170
  13. 168
  14. 50%
  15. ₹442
  16. 25%
  17. 40%
  18. 20%
  19. 168
  20. 28
  21. ₹1125
  22. ₹612
  23. ₹525
  24. 5%
  25. 25%
  26. 5%
  27. 5%
  28. 15%
  29. 270
  30. ₹495
  31. 160
  32. ₹864
  33. 40%
  34. ₹264
  35. 32
  36. ₹288
  37. 336
  38. 30%
  39. 51
  40. 25%

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