question_answer

Alcohol and water in two vessels A and B are in the ratio 5: 3 and 5: 4, respectively. In what ratio, the liquids in both the vessels be mixed to obtain a new mixture in vessel C is the ratio 7: 5?                                          [SSC (10+2) 2011]

A) 2 : 3     

B) 3 : 2

C) 3 : 5                             

D) 2 : 5

Correct Answer: A

Solution :

First of all we write the fraction of alcohol present in three mixtures.

In \[A:\frac{5}{8}\]and in \[B:\frac{5}{9}\]

In combination of A and B\[=\frac{7}{2}.\]

Now, apply alligation rule,

So, the required ratio \[=\frac{1}{36}:\frac{1}{24}=2:3\]