question_answer

Two vessels contain milk and water in the ratio 3: 2 and 7: 3. Find the ratio in which the contents of the two vessels have to be mixed to get a new mixture in which the ratio of milk and water 2: 1        [SSC (CGL) 2012]

A) 2 : 1                             

B) 1 : 2

C) 4 : 1                             

D) 1 : 4

Correct Answer: B

Solution :

Given, ratio of milk and water in first vessel\[=3:2\]

\[\therefore \]Part of milk in first vessel \[=\frac{3}{5}\]       \[\left( by\frac{a}{a+b} \right)\]

and ratio of milk and water in second vessel\[=7:3\]

\[\therefore \]Part of milk in second vessel \[=\frac{7}{10}\]

and new mixture ratio \[=2:1\]

By alligation rule,

\[\therefore \]Required ratio \[=\frac{1}{30}:\frac{1}{15}=1:2\]