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
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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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