Question

$15$ litres of a mixture contain $20\%$ milk and the rest water. If $3$ litres of water be mixed in it, the percentage of milk in the new mixture will be ..............

• A. $17\%$
• B. $16\frac{2}{3}\%$
• C. $18\frac{1}{2}\%$
• D. $15\%$

Answer 1

The correct option is B $16\frac{2}{3}\%$

$15$ litres of a mixture contain $20\%$ milk. So,

Quantity of milk in the mixture $=15\times \frac{20}{100}$

$=3$ litres

After adding $3$ litres of water in the mixture now, the total amount of the mixture will be,

$15+3=18$ litres

$\%\text{of milk}=\frac{3}{18}\times 100$

$=\frac{100}{6}$

$=16\frac{2}{3}$

Hence, option $B$ is correct.