Alligations or Mixtures
Aptitude

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Q.

The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel c consisting half milk and half water?

 A.

8 : 3

 B.

7 : 5

 C.

4 : 3

 D.

2 : 3

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Solution:
Option(B) is correct

Milk in 1 litre mixture of A = 4/7 litre.
Milk in 1 litre mixture of B = 2/5 litre.
Milk in 1 litre mixture of C = 1/2 litre.
By rule of alligation we have required ratio X:Y 

   X                  :                 Y

 4/7                                2/5

 

           \                      /

            (Mean ratio)
                  (1/2)

           /                      \

(1/2 – 2/5)     :       (4/7 – 1/2)

      1/10                      1/1 4

 

So Required ratio = X : Y = 1/10 : 1/14 = 7:5


(2) Comment(s)


Saurabh
 ()

why is the mean ratio 1/2 because it is said that both milk and water needs to be half but dint mention anywere that the sum of both are half.


Dibya Ranjan
 ()

it has said vessel c containing half milk and half water that means mean is 1/2 

take average concept here