At a school building, there is an overhead tank. To fill this tank 50 buckets of water are required. Assume that the capacity of the bucket is reduced to two-fifth of the present. How many buckets of water are required to fill the same tank?

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Initially, 50 buckets of water fill the tank. Let the capacity of each bucket be C units. So, total volume of tank = 50 * C.

Now, the capacity of the bucket is reduced to two-fifth of the original capacity, i.e., new capacity = (2/5) * C.

Let the number of buckets required now be x.

Since the tank volume remains the same:
50 * C = x * (2/5) * C

Divide both sides by C:
50 = x * (2/5)

Multiply both sides by 5:
50 * 5 = x * 2

250 = 2x

x = 250 / 2 = 125

Therefore, 125 buckets are required to fill the tank when the bucket capacity is reduced to two-fifth.

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