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Discussion :: Alligation or Mixture

  1. A milk vendor has 2 cans of milk. The first contains 25% water and the rest milk. The second contains 50% water. How much milk should he mix from each of the containers so as to get 12 litres of milk such that the ratio of water to milk is 3 : 5?

  2. A.

    4 litres, 8 litres

    B.

    6 litres, 6 litres

    C.

    5 litres, 7 litres

    D.

    7 litres, 5 litres

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    Answer : Option B

    Explanation :

    Let the cost of 1 litre milk be Re. 1 

    Milk in 1 litre mix. in 1st can  =  \(\frac { 3 } { 4 } \) litre, C.P. of 1 litre mix. in 1st can Re. \(\frac { 3 } { 4 } \)

    Milk in 1 litre mix. in 2nd can  =  \( \frac { 1 } { 2 }\) litre,C.P. of 1 litre mix. in 2 nd can Re. \( \frac { 1 } { 2 }\)

    Milk in 1 litre of final mix. = \( \frac { 5 } { 8 }\) litre, Mean price = Re. \( \frac { 5 } { 8 }\)

    By the rule of alligation, we have 

                                                                                    


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