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

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}

Related Questions On Alligation

A. 2 : 5
B. 3 : 5
C. 5 : 3
D. 5 : 2

An alloy contains zinc, copper and tin in the ratio 2 : 3 : 1 and another contains copper, tin and lead in the ratio 5 : 4 : 3. If equal weights of both alloys are melted together to form a third alloy, then the weight of lead per kg in new alloy will be:

A. $\large\frac{1}{2} \mathrm{~kg}$
B. $\large\frac{1}{8} \mathrm{~kg}$
C. $\large\frac{3}{14} \mathrm{~kg}$
D. $\large\frac{7}{9} \mathrm{~kg}$

A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres