To fill a tank, 25 buckets of water is required. How many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two-fifth of its present?
(a)10
(b)35
(c)$62 \frac{1}{2}$
(d)Cannot be determined
(e)None of these
Answer
Answer (as printed): C
Explanation
Let the capacity of 1 bucket $=x$. Then, capacity of tank $=25 x$. New capacity of bucket $=\frac{2}{5} x$. $$\begin{aligned} \therefore & \text { Required number of buckets }=\frac{25 x}{(2 x / 5)} \\ & =\left(25 x \times \frac{5}{2 x}\right)=\frac{125}{2}=62 \frac{1}{2} . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.