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Discussion :: Alligation or Mixture

  1. Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs. 153 per kg, the price of the third variety per kg will be:

  2. A.

    Rs. 169.50

    B.

    Rs. 170

    C.

    Rs. 175.50

    D.

    Rs. 180

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    Answer : Option C

    Explanation :

    Since first and second varieties are mixed in equal proportions.

     so,their average price = Rs.  \([ \frac { 126+135 } { 2 } ]\) = Rs.130.50

    So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x.               

         

                x - 153 = 22.50

                x = 175.50


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