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

348 views

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 ?

posted Oct 13, 2014

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.

Similar Puzzles

Three friends decide to distribute the soda cans they had among them. When all of them had drunk four cans each, the total number of cans that remained were equal to the cans each one of them had after they had divided the cans.

Can you calculate the total number of cans before distribution ?