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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 104 · 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 ₹460 and sells it for ₹690. What is his profit percent? (a) 51% (b) 55% (c) 45% (d) 50%
  2. 2.A shopkeeper buys a toy for ₹520 and sells it for ₹780. What is his profit percent? (a) 45% (b) 51% (c) 50% (d) 55%
  3. 3.A shopkeeper buys a toy for ₹720 and sells it for ₹1008. What is his profit percent? (a) 45% (b) 41% (c) 35% (d) 40%
  4. 4.A bag marked ₹720 is sold at a 30% discount. What is its selling price? (a) ₹216 (b) ₹936 (c) ₹690 (d) ₹504
  5. 5.A shopkeeper buys a toy for ₹320 and sells it for ₹304. What is his loss percent? (a) 16% (b) 6% (c) 5% (d) 10%
  6. 6.A shopkeeper buys a toy for ₹800 and sells it for ₹920. What is his profit percent? (a) 10% (b) 16% (c) 15% (d) 20%
  7. 7.What is 15% of 520? (a) 442 (b) 780 (c) 78 (d) 156
  8. 8.A bag marked ₹1580 is sold at a 20% discount. What is its selling price? (a) ₹316 (b) ₹1896 (c) ₹1264 (d) ₹1560
  9. 9.A bag marked ₹1900 is sold at a 10% discount. What is its selling price? (a) ₹190 (b) ₹1890 (c) ₹2090 (d) ₹1710
  10. 10.A shopkeeper buys a toy for ₹860 and sells it for ₹817. What is his loss percent? (a) 10% (b) 43% (c) 5% (d) 6%
  11. 11.What is 75% of 440? (a) 110 (b) 660 (c) 330 (d) 3300
  12. 12.A shopkeeper buys a toy for ₹160 and sells it for ₹184. What is his profit percent? (a) 24% (b) 20% (c) 10% (d) 15%
  13. 13.A bag marked ₹1680 is sold at a 15% discount. What is its selling price? (a) ₹1932 (b) ₹1428 (c) ₹1665 (d) ₹252
  14. 14.A shopkeeper buys a toy for ₹680 and sells it for ₹646. What is his loss percent? (a) 34% (b) 5% (c) 6% (d) 10%
  15. 15.A shopkeeper buys a toy for ₹900 and sells it for ₹630. What is his loss percent? (a) 35% (b) 31% (c) 30% (d) 25%
  16. 16.What is 25% of 480? (a) 120 (b) 240 (c) 1200 (d) 360
  17. 17.A shopkeeper buys a toy for ₹200 and sells it for ₹210. What is his profit percent? (a) 4% (b) 5% (c) 10% (d) 6%
  18. 18.What is 10% of 380? (a) 380 (b) 76 (c) 38 (d) 342
  19. 19.A shopkeeper buys a toy for ₹300 and sells it for ₹180. What is his loss percent? (a) 45% (b) 41% (c) 35% (d) 40%
  20. 20.A shopkeeper buys a toy for ₹420 and sells it for ₹504. What is his profit percent? (a) 25% (b) 84% (c) 20% (d) 15%
  21. 21.A shopkeeper buys a toy for ₹220 and sells it for ₹253. What is his profit percent? (a) 10% (b) 20% (c) 15% (d) 33%
  22. 22.What is 5% of 300? (a) 30 (b) 150 (c) 285 (d) 15
  23. 23.A bag marked ₹360 is sold at a 10% discount. What is its selling price? (a) ₹324 (b) ₹396 (c) ₹350 (d) ₹36
  24. 24.A shopkeeper buys a toy for ₹180 and sells it for ₹171. What is his loss percent? (a) 6% (b) 5% (c) 9% (d) 10%
  25. 25.A shopkeeper buys a toy for ₹520 and sells it for ₹468. What is his loss percent? (a) 10% (b) 52% (c) 5% (d) 15%
  26. 26.What is 30% of 240? (a) 144 (b) 720 (c) 168 (d) 72
  27. 27.A shopkeeper buys a toy for ₹300 and sells it for ₹450. What is his profit percent? (a) 45% (b) 50% (c) 55% (d) 51%
  28. 28.A shopkeeper buys a toy for ₹440 and sells it for ₹462. What is his profit percent? (a) 5% (b) 22% (c) 10% (d) 6%
  29. 29.A shopkeeper buys a toy for ₹760 and sells it for ₹570. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  30. 30.A bag marked ₹620 is sold at a 15% discount. What is its selling price? (a) ₹93 (b) ₹527 (c) ₹605 (d) ₹713
  31. 31.A bag marked ₹200 is sold at a 30% discount. What is its selling price? (a) ₹170 (b) ₹60 (c) ₹260 (d) ₹140
  32. 32.A bag marked ₹380 is sold at a 25% discount. What is its selling price? (a) ₹355 (b) ₹285 (c) ₹475 (d) ₹95
  33. 33.A bag marked ₹540 is sold at a 40% discount. What is its selling price? (a) ₹500 (b) ₹756 (c) ₹324 (d) ₹216
  34. 34.A bag marked ₹460 is sold at a 30% discount. What is its selling price? (a) ₹322 (b) ₹598 (c) ₹430 (d) ₹138
  35. 35.A shopkeeper buys a toy for ₹500 and sells it for ₹425. What is his loss percent? (a) 10% (b) 75% (c) 20% (d) 15%
  36. 36.A shopkeeper buys a toy for ₹340 and sells it for ₹238. What is his loss percent? (a) 31% (b) 30% (c) 25% (d) 35%
  37. 37.What is 30% of 740? (a) 518 (b) 222 (c) 2220 (d) 444
  38. 38.What is 10% of 580? (a) 580 (b) 522 (c) 116 (d) 58
  39. 39.A shopkeeper buys a toy for ₹360 and sells it for ₹342. What is his loss percent? (a) 18% (b) 5% (c) 6% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹800 and sells it for ₹560. What is his loss percent? (a) 30% (b) 35% (c) 25% (d) 31%

Answer key

  1. 50%
  2. 50%
  3. 40%
  4. ₹504
  5. 5%
  6. 15%
  7. 78
  8. ₹1264
  9. ₹1710
  10. 5%
  11. 330
  12. 15%
  13. ₹1428
  14. 5%
  15. 30%
  16. 120
  17. 5%
  18. 38
  19. 40%
  20. 20%
  21. 15%
  22. 15
  23. ₹324
  24. 5%
  25. 10%
  26. 72
  27. 50%
  28. 5%
  29. 25%
  30. ₹527
  31. ₹140
  32. ₹285
  33. ₹324
  34. ₹322
  35. 15%
  36. 30%
  37. 222
  38. 58
  39. 5%
  40. 30%

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