A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3. If 12 litres of the solution are taken out and 71/2 litres of water are added to it, then what is the ratio of acid and water in the resulting solution?

Answer: Option A

Solution

Answer: Option A

Solution:

$$\begin{array}{rl}& \text{After removed 12L}\\ & \text{Acid}:\text{Water}\\ & \Rightarrow 12\times \frac{5}{8},12\times \frac{3}{8}\\ & \Rightarrow -7.5,-4.5\\ & \text{Acid}\text{Water}\\ & \text{20L }\text{ 12L}\\ & -7.5-4.5\\ & +7.5\\ & \overline{12.5:15}\\ & 5:6\end{array}$$