question_answer

The vessels A and B contains acid and water in the ratio 4: 3 and 5: 3, respectively. Then, the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3 : 2 is

A) 5 : 8                 

B) 7 : 8  

C) 7 : 5                             

D) 4 : 7

Correct Answer: B

Solution :

In Vessel A, part of acid \[=\frac{4}{7}\]

In Vessel B, part of acid \[=\frac{5}{8}\]

In Vessel C, part of acid \[=\frac{3}{5}\]

By Alligation rule

\[\therefore \]Required ratio \[=\frac{1}{40}:\frac{1}{30}=35:40=7:8\]