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  • Question
  • How many bananas at 5 for Re. 1·20 should be mixed with 300 bananas at 6 for Rs. 2·10, so that they should all be worth Rs. 3·60 a dozen?


  • Options
  • A. 350
  • B. 280
  • C. 320
  • D. 250

  • Correct Answer
  • 250 

    Explanation


  • Alligation or Mixture problems


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    • 1. 
      A milk seller pays Rs. 500 per kiloliter for his milk. He adds water to it and sells the mixture at 56 P a liter, thereby making altogether 40 % profit. Find the proportion of water to milk which his customers receive?

    • Options
    • A. 1 : 4
    • B. 2 : 3
    • C. 1 : 5
    • D. 4 : 1
    • Discuss
    • 2. 
      15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be ?

    • Options
    • A. 17
    • B. 16 2 3
    • C. 18 1 2
    • D. 15
    • Discuss
    • 3. 
      A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?

    • Options
    • A. 25
    • B. 10
    • C. 20
    • D. 21
    • Discuss
    • 4. 
      From a cask of wine, containing 64 liters, 8 liters are drawn out and the cask is filled up with water. If the same process is repeated a second, then a third time, what will be the number of liters of wine left in the cask?

    • Options
    • A. 42 1 kg 8
    • B. 42 3 kg 8
    • C. 48 7 kg 8
    • D. 42 7 kg 8
    • Discuss
    • 5. 
      3 glasses of capacity 2 liters, 5 liters and 9 liters contain mixture of milk and water with milk concentrations 90 %, 80 % and 70 % respectively. The contents of 3 glasses are emptied into a large vessel. Find the milk concentration and ratio of milk to water in the resultant mixture ?

    • Options
    • A. 121 : 39
    • B. 131 : 49
    • C. 39 : 121
    • D. 49 : 131
    • Discuss
    • 6. 
      Fresh fruit contains 72 % water and dry fruits contains 20 % water. How much dry fruit from 100 kg of fresh fruit can be obtained?

    • Options
    • A. 32 kg
    • B. 33 kg
    • C. 30 kg
    • D. 35 kg
    • Discuss
    • 7. 
      From a vessel filled with alcohol 1/5 of its contents is removed and the vessel is then filled up with water. If this be done 5 times in succession, what proportion of the alcohol originally contained in the vessel will have been removed from it?

    • Options
    • A. 1024 3125
    • B. 2101 3125
    • C. 1024 2101
    • D. None of these
    • Discuss
    • 8. 
      A solution of sugar syrup has 15 % sugar. Another solution has 5 % sugar. How many liter of the second solution must be added to 20 liters of the first solution to make a solution of 10 % sugar?

    • Options
    • A. 10
    • B. 5
    • C. 15
    • D. 20
    • Discuss
    • 9. 
      Two casks of 48 and 42 liters are filled with mixture of wine and water13 : 7 and 18 : 17. If the contents of the two casks be mixed and 20 liters of water added to the whole what will be the proportion of wine to water in the result?

    • Options
    • A. 13 : 12
    • B. 12 : 13
    • C. 21 : 31
    • D. 31 : 21
    • Discuss
    • 10. 
      729 ml of a mixture contains milk and water in the ratio 7 : 2. How much more water is to be added to get a new mixture containing milk and water in ratio 7 : 3?

    • Options
    • A. 600 ml
    • B. 710 ml
    • C. 520 ml
    • D. None of these
    • Discuss


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