question_answer

Two vessels are full of milk with milk-water ration 1 : 3 and 3 : 5 respectively. If both are mixed in the ratio 3 : 2, what is the ratio of milk and water in the new mixture?

A) 4 : 15               

B) 3: 7

C) 6: 7                              

D) None of these

Correct Answer: D

Solution :

By law of mixture, \[\therefore \]      \[\frac{\frac{3}{8}-x}{x-\frac{1}{4}}=\frac{3}{2}\] \[\Rightarrow \] \[\frac{3}{4}-2x=3x-\frac{3}{4}\] \[\Rightarrow \] \[5x=\frac{6}{4}=\frac{3}{2}\] \[\Rightarrow \] \[x=\frac{3}{10}\]