question_answer

Two vessels A and 8 contain milk and water mixed in the ratio 5 : 2 and 8 : 5, respectively. Find the ratio in which these mixtures are to be mixed to get a new mixture containing milk and water in the ratio 9 : 4

A)  2 : 7                

B)  7 : 2

C)  7 : 2.7 

D)  2 : 7.2

Correct Answer: B

Solution :

Let the CP of milk be Rs. 1 per litre. Milk in 1 L mixture in A\[=\frac{5}{7}\]L Milk in 1 L mixture in B\[=\frac{8}{13}\]L Milk in 1 L mixture of A and B \[=\frac{9}{13}\]L CP of 1 L mix in A = Rs. \[\frac{5}{7}\] CP of 1 L mix in B = Rs.\[\frac{8}{13},\]Mean Price = Rs. \[\frac{9}{13}\] Required ratio\[=\frac{1}{13}:\frac{2}{91}=7:2\]