Alligations or Mixtures
Aptitude

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Q.

Two vessels A and B contain spirit and water mixed in the ratio 5:2 and 7:6 respectively. Find the ratio in which these mixture be mixed to obtain a new mixture in vessel c containing spirit and water in the ratio 8:5?

 A.

1 : 7

 B.

2 : 9

 C.

7 : 9

 D.

3 : 8

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Solution:
Option(C) is correct

Spirit in 1 litre mix of A = 5/7 litre.
Spirit in 1 litre mix of B = 7/13 litre.
Spirit in 1 litre mix of C = 8/13 litre. 
By rule of alligation we have required ratio X:Y

   X         :       Y

 5/7              7/13

 

       \          /
          (8/13)

       /          \


(1/13)     :     (9/91)

  7                      9

Therefore required ratio = 1/13 : 9/91 

= 7:9


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