question_answer

Milk and water are mixed in a vessel A in the proportion 5: 2 and in vessel B in the proportion 8: 5. In what proportion should quantities be taken from the two vessel, so as to form a mixture in which milk and water will be in the proportion of 9: 4?

A) 7 : 2     

B) 3 : 5  

C) 3 : 4                             

D) 4 : 9

Correct Answer: A

Solution :

In vessel A,

Quantity of milk \[=\frac{5}{7}\]of the weight of mixture.

In vessel B,

Quantity of milk \[=\frac{8}{13}\]of the weight of mixture.

Average weight of milk in the mixture \[=\frac{9}{13}\]

\[\therefore \]Required ratio \[=\frac{1}{13}:\frac{2}{91}=7:2\]