Question

To a sugar solution of $3$ liters containing $40\%$ sugar, one liter of water is added. The percentage of sugar in the new solution is :

• A. $13\frac{1}{3}\%$
• B. $15\%$
• C. $30\%$
• D. $33\%$

Answer 1

The correct option is C $30\%$

Given that, $3$ litres solution contains $40$% sugar

$\Rightarrow Sugar=\frac{40}{100}\times 3$

$\Rightarrow Sugar=\frac{40}{100}\times 3$

$\Rightarrow Sugar=1.2l$

Percentage of sugar in new solution:

$\Rightarrow NewSugar=\frac{1.2}{4}\times 100$

$\Rightarrow NewSugar=30\%$