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  • Question
  • 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

  • Correct Answer
  • 21 

    Explanation


  • Alligation or Mixture problems


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    • 1. 
      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
    • 2. 
      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
    • 3. 
      A man buys milk at Rs. 5 a litre and mixes it with water. By selling the mixture at Rs. 4 a litre he gains 121/2 % on his outlay. How much water did each litre of the mixture contain?

    • Options
    • A. 32 litre 45
    • B. 13 litre 45
    • C. 32 litre 13
    • D. None of these
    • Discuss
    • 4. 
      A man has whisky worth Rs. 22 a liter and another lot worth Rs. 18 a liter. Equal quantities of these are mixed with water to obtain a mixture of 50 liters worth Rs. 16 a liter. Find how much water the mixture contains?

    • Options
    • A. 5 litre
    • B. 10 litre
    • C. 15 litre
    • D. 20 litre
    • Discuss
    • 5. 
      Rs. 1000 is lent out in two parts, one at 6 % simple interest and the other at 8 % simple interest. The yearly income is Rs. 75. The sum lent at 8 % is ?

    • Options
    • A. Rs. 250
    • B. Rs. 500
    • C. Rs. 750
    • D. Rs. 600
    • Discuss
    • 6. 
      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
    • 7. 
      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
    • 8. 
      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
    • Discuss
    • 9. 
      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
    • 10. 
      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


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