### A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ratio becomes 4 : 5. The quantity of alcohol in the given mixture is –

A. 3 litres B. 4 litres C. 15 litres D. 10 litres Answer: Option D

### Solution(By Apex Team)

Let the quantity of alcohol and water be 4x litres and 3x litres respectively $\begin{array}{l}\Large\frac{4x}{(3x+5)}=\frac{4}{5}\\ \Rightarrow20x=4(3x+5)\\ \Rightarrow8x=20\\ \Rightarrow x=2.5\\ \text{Quantity of alcohol}\\ \text{= (4 × 2.5) litres}\\ \text{= 10 litres.}\end{array}$

## 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