Question

If a bucket is $80\%$ full, then it contains $2$ litres more water than when it is $66\frac{2}{3}\%$ full. What is the capacity of the bucket?

• A. $12$ litres
• B. $18$ litres
• C. $15$ litres
• D. $13$ litres

Answer 1

Answer: (C)

$15$ litres

Let the capacity of the bucket be $x.$

$\left(\begin{array}{c}80-66\frac{2}{3}\end{array}\right)\%$ of $x=2$ litres.

$\Rightarrow \frac{40}{3}\%$ of $x$ $=2$ litres
Therefore, capacity of the bucket $=\frac{2}{\frac{40}{3}}\times 100=\frac{600}{40}=15$ litres.