###
**The respective ratio of milk and water in the mixture is 4 : 3. If 6 litres of water is added to this mixture, the respectively ratio of milk and water becomes 8 : 7. What is the quantity of milk in the original mixture ?**

A. 36 litres
B. 84 litres
C. 48 litres
D. None of these
**Answer: Option C**

## Show Answer

Solution(By Apex Team)

Let the quantity of milk and water in initial mixture be 4x and 3x litres.
Quantity of water = 3x litres
On adding 6 litres of water, we get
$\begin{aligned}&\Rightarrow\frac{4x}{3x+6}=\frac{8}{7}\\
&\Rightarrow28x=24x+48\\
&\Rightarrow28x-24x=48\\
&\Rightarrow4x=48\\
&\Rightarrow x=\frac{48}{4}\\
&\Rightarrow x=12\\
&\text{∴ Required quantity of milk}\\
&\text{= 4x}\\
&\text{= 4 × 12}\\
&\text{= 48 litres}\end{aligned}$

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