Can you calculate the total percentage of loss from the initial volume when the drop has fallen to the last leaf ?

Question

A rain drop fell from one leaf to another leaf and lost 1/4th of its volume. It then fell to another leaf and lost 1/5th of the volume. It again fell on another leaf and lost 1/5th of the volume.

This process kept repeating till it fell on the last leaf losing 1/75th of its volume.

Can you calculate the total percentage of loss from the initial volume when the drop has fallen to the last leaf ?

Answer 1

4%

Let us assume that the initial volume of the water drop was k.

k - (1/4) k = (3/4) k

(3/4) k - (1/5) [(3/4) k] = (3/4) k * [1 - (1/5)] = (3/4) k * (4/5) = (3/5) k

(3/75) k = (1/25) k

1/25 = 4%

Thus, the answer is four percent.