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Percentage and Profit Loss Worksheet for Olympiad

Maths Olympiad topic 15: Percentages, profit and loss · Set 107 · 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 ₹400 and sells it for ₹380. What is his loss percent? (a) 10% (b) 20% (c) 5% (d) 6%
  2. 2.What is 30% of 380? (a) 114 (b) 266 (c) 1140 (d) 228
  3. 3.What is 30% of 780? (a) 468 (b) 2340 (c) 546 (d) 234
  4. 4.A bag marked ₹1280 is sold at a 25% discount. What is its selling price? (a) ₹960 (b) ₹1600 (c) ₹320 (d) ₹1255
  5. 5.What is 25% of 500? (a) 375 (b) 1250 (c) 125 (d) 250
  6. 6.A shopkeeper buys a toy for ₹820 and sells it for ₹656. What is his loss percent? (a) 25% (b) 21% (c) 15% (d) 20%
  7. 7.A shopkeeper buys a toy for ₹900 and sells it for ₹540. What is his loss percent? (a) 40% (b) 45% (c) 41% (d) 35%
  8. 8.A bag marked ₹300 is sold at a 40% discount. What is its selling price? (a) ₹420 (b) ₹260 (c) ₹120 (d) ₹180
  9. 9.A shopkeeper buys a toy for ₹600 and sells it for ₹510. What is his loss percent? (a) 15% (b) 10% (c) 20% (d) 90%
  10. 10.A shopkeeper buys a toy for ₹420 and sells it for ₹462. What is his profit percent? (a) 5% (b) 42% (c) 15% (d) 10%
  11. 11.What is 30% of 920? (a) 276 (b) 552 (c) 644 (d) 2760
  12. 12.A bag marked ₹280 is sold at a 10% discount. What is its selling price? (a) ₹308 (b) ₹252 (c) ₹28 (d) ₹270
  13. 13.A shopkeeper buys a toy for ₹760 and sells it for ₹722. What is his loss percent? (a) 10% (b) 5% (c) 38% (d) 6%
  14. 14.A bag marked ₹1960 is sold at a 15% discount. What is its selling price? (a) ₹2254 (b) ₹1666 (c) ₹1945 (d) ₹294
  15. 15.What is 40% of 620? (a) 372 (b) 248 (c) 2480 (d) 496
  16. 16.What is 20% of 720? (a) 1440 (b) 288 (c) 576 (d) 144
  17. 17.A bag marked ₹2000 is sold at a 50% discount. What is its selling price? (a) ₹3000 (b) ₹1950 (c) ₹1001 (d) ₹1000
  18. 18.A shopkeeper buys a toy for ₹540 and sells it for ₹405. What is his loss percent? (a) 26% (b) 20% (c) 30% (d) 25%
  19. 19.A bag marked ₹1360 is sold at a 15% discount. What is its selling price? (a) ₹204 (b) ₹1345 (c) ₹1156 (d) ₹1564
  20. 20.A bag marked ₹1440 is sold at a 40% discount. What is its selling price? (a) ₹1400 (b) ₹2016 (c) ₹576 (d) ₹864
  21. 21.A shopkeeper buys a toy for ₹680 and sells it for ₹816. What is his profit percent? (a) 21% (b) 20% (c) 15% (d) 25%
  22. 22.A shopkeeper buys a toy for ₹380 and sells it for ₹399. What is his profit percent? (a) 10% (b) 19% (c) 6% (d) 5%
  23. 23.A shopkeeper buys a toy for ₹400 and sells it for ₹420. What is his profit percent? (a) 20% (b) 5% (c) 6% (d) 10%
  24. 24.A shopkeeper buys a toy for ₹540 and sells it for ₹513. What is his loss percent? (a) 10% (b) 5% (c) 27% (d) 6%
  25. 25.A shopkeeper buys a toy for ₹700 and sells it for ₹595. What is his loss percent? (a) 10% (b) 16% (c) 15% (d) 20%
  26. 26.A shopkeeper buys a toy for ₹460 and sells it for ₹506. What is his profit percent? (a) 15% (b) 10% (c) 46% (d) 5%
  27. 27.A bag marked ₹840 is sold at a 10% discount. What is its selling price? (a) ₹84 (b) ₹924 (c) ₹756 (d) ₹830
  28. 28.A shopkeeper buys a toy for ₹160 and sells it for ₹224. What is his profit percent? (a) 40% (b) 45% (c) 35% (d) 64%
  29. 29.A bag marked ₹440 is sold at a 25% discount. What is its selling price? (a) ₹415 (b) ₹330 (c) ₹110 (d) ₹550
  30. 30.What is 5% of 280? (a) 14 (b) 140 (c) 28 (d) 266
  31. 31.What is 15% of 960? (a) 1440 (b) 288 (c) 144 (d) 816
  32. 32.A shopkeeper buys a toy for ₹100 and sells it for ₹125. What is his profit percent? (a) 20% (b) 25% (c) 30% (d) 26%
  33. 33.A bag marked ₹2000 is sold at a 10% discount. What is its selling price? (a) ₹200 (b) ₹1990 (c) ₹2200 (d) ₹1800
  34. 34.A shopkeeper buys a toy for ₹260 and sells it for ₹182. What is his loss percent? (a) 30% (b) 25% (c) 78% (d) 35%
  35. 35.A shopkeeper buys a toy for ₹520 and sells it for ₹598. What is his profit percent? (a) 20% (b) 15% (c) 10% (d) 78%
  36. 36.A bag marked ₹1500 is sold at a 30% discount. What is its selling price? (a) ₹1470 (b) ₹450 (c) ₹1050 (d) ₹1950
  37. 37.A bag marked ₹1020 is sold at a 40% discount. What is its selling price? (a) ₹1428 (b) ₹612 (c) ₹408 (d) ₹980
  38. 38.A shopkeeper buys a toy for ₹880 and sells it for ₹968. What is his profit percent? (a) 10% (b) 88% (c) 15% (d) 5%
  39. 39.A shopkeeper buys a toy for ₹500 and sells it for ₹575. What is his profit percent? (a) 15% (b) 75% (c) 20% (d) 10%
  40. 40.A shopkeeper buys a toy for ₹180 and sells it for ₹198. What is his profit percent? (a) 10% (b) 5% (c) 18% (d) 15%

Answer key

  1. 5%
  2. 114
  3. 234
  4. ₹960
  5. 125
  6. 20%
  7. 40%
  8. ₹180
  9. 15%
  10. 10%
  11. 276
  12. ₹252
  13. 5%
  14. ₹1666
  15. 248
  16. 144
  17. ₹1000
  18. 25%
  19. ₹1156
  20. ₹864
  21. 20%
  22. 5%
  23. 5%
  24. 5%
  25. 15%
  26. 10%
  27. ₹756
  28. 40%
  29. ₹330
  30. 14
  31. 144
  32. 25%
  33. ₹1800
  34. 30%
  35. 15%
  36. ₹1050
  37. ₹612
  38. 10%
  39. 15%
  40. 10%

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