Question

$38\text{liters}$ of milk was poured into a tub and the tub was found to be $5\%$ empty. To completely fill the tub, what amount of additional milk must be poured?

• A. $1\text{liters}$
• B. $2\text{liters}$
• C. $3\text{liters}$
• D. $4\text{liters}$

Answer 1

The correct option is B $2\text{liters}$

After pouring $38\text{liters}$ of milk, $5\%$ is found empty.

This means $95\%$ of the capacity of the tub is equal to $38\text{liters}.$

Let the capacity of the tub be $x.$

Then, the capacity of the tub is,

$\begin{array}{cc}\frac{95}{100}\times x& =38\\ x& =\frac{100}{95}\times 38\\ & =40\text{liters}\end{array}$

Thus additional milk to be poured $(40-38)=2\text{liters}.$