question_answer

Vessels A and B contain mixtures of milk and water in the ratios 4: 5 and 5: 1, respectively. In what ratio should quantities of mixture be taken from A and B to form a mixture in which milk to water is in the ratio 5: 4?

A) 2 : 5                 

B) 4 : 3  

C) 5 : 2                 

D) 2 : 3

Correct Answer: C

Solution :

In A, fraction of milk \[=\frac{4}{9}\]

In 8, fraction of milk \[=\frac{5}{6}\]

In mixture of A and B \[=\frac{5}{9}\]

By Alligation rule,

\[\therefore \]Required ratio \[=\frac{\frac{5}{18}}{\frac{1}{9}}=\frac{5}{18}\times 9=5:2\]