1)

A pot contains 81 litres of pure milk.$\frac{1}{3}$ of milk is replaced by the same amount of water.Again $\frac{1}{3}$ of the mixture is replaced by the same amount of water.Find the ratio of milk to water in the new mixture?


A) 5 : 4

B) 4 : 5

C) 2 : 3

D) 3 : 2

Answer:

Option B

Explanation:

Amountof milk=81 l

$\frac{1}{3}$ of whole milk $=\frac{81}{3}=27l$

Quality of milk left after first operation =81-27=54

Again amount of water $=\frac{54}{3}=18$

Quality of milk left after 2nd opertaion =54-18=36

Ratio of milk to water =36 ; (81-36) =36 : 45=4 : 5