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?

Question: 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?

Solution:
Let the initial capacity of each bucket be C.
Total capacity of the tank = 25 × C = 25C.
New capacity of each bucket = 2/5 of C = 2C/5.
Let the number of required buckets be n.

According to the question,
n × (2C/5) = 25C
⇒ n × (2/5) = 25
⇒ n = (25 × 5)/2
⇒ n = 125/2
∴ n = 62.5

So, 62.5 buckets of water will be required to fill the tank.