Question

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

• A. 5$Ltr$
• B. 7.5$Ltr$
• C. 10$Ltr$
• D. 12$Ltr$

Answer 1

Answer: (C)

10$Ltr$

Let us assume that quantity of alcohol $=4x$ and quantity of water$=3x$

Now he added 5 litres of water

So $\frac{4x}{3x+5}=\frac{4}{5}$

$\frac{x}{3x+5}=\frac{1}{5}$

$5x=3x+5$

$2x=5$

Quantity of alcohol$=4x=2\times 2x=2\times 5=10l$

Hence the correct option is (C).