A vessel contains 60 litres of milk. 12 litres of milk taken out from it and replaced with water. Then again from mixture, 12 litres is taken out and replaced with water. The ratio of milk and water in the resultant mixture is ?
A. 16 : 9 B. 15 : 10 C. 16 : 10 D. 9 : 5 Answer: Option AShow Answer
Solution(By Apex Team)
$\begin{aligned}&\text{Total milk = 60 litres}\\
&\text{Drawn off = 12 litres}\\
&\frac{\text{ Final quantity }}{\text{ Initial quantity }}=\left(1-\frac{x}{c}\right)^t\\
&\text{X = Replaced quantity}\\
&\text{C = Capacity}\\
&\text{T = Number of process}\\
&\frac{\text { Final quantity }}{\text { Initial quantity }}=\left(1-\frac{12}{60}\right)^{2} \\
&=\left(\frac{4}{5}\right)^{2} \\
&=\frac{16}{25}
\end{aligned}$
Ratio of milk and water in the resultant mixture :
= 16 : 9
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