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

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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
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## 1 Answer

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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.

answer Oct 14, 2014

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My life is often a volume of grief,
your help is needed to turn a new leaf.
Stiff is my spine and my body is pale,
but I’m always ready to tell a tale.
What am I?