question_answer

Some milk and water in two vessels A and B are in the ratio of \[4:3\] and \[2:3\] respectively. In what ratio should the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting of half milk and half water?

A) \[8:3\]                           

B) \[7:5\]               

C) \[4:3\]                           

D) \[2:3\]               

E)  Other than those given as options

Correct Answer: B

Solution :

Milk in Vessel\[A=\frac{4}{7}\] Water in Vessel\[A=\frac{3}{7}\] Milk in Vessel\[B=\frac{2}{5}\] Water in Vessel\[B=\frac{3}{5}\] Now, By alligation method: \[\therefore \]Required ratio\[=7:5\]