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  • Question
  • There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ?


  • Options
  • A. 111:108
  • B. 11:9
  • C. 103:72
  • D. None

  • Correct Answer
  • 11:9 

    Explanation

    From the given data,

     

    The part of honey in the first mixture = 1/4

     

    The part of honey in the second mixture = 3/4

     

    Let the part of honey in the third mixture = x

     

    Then,

     

    1/4             3/4

     

               x

     

    (3/4)-x     x-(1/4) 

     

    Given from mixtures 1 & 2 the ratio of mixture taken out is 2 : 3

     

    =>  3 4 - x x - 1 4 = 2 3

     

    => Solving we get the part of honey in the third mixture as 11/20

     

    => the remaining part of the mixture is water = 9/20

     

    Hence, the ratio of the mixture of honey and water in the third mixture is 11 : 9 .

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