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# Raindrop

## Question

Raindrop has fallen from leaf to another leaf, and lost 1/4 of its volume.
Next, raindrop has fallen to another leaf, and lost 1/5 of its volume.
And next to another leaf, and lost 1/6 of its volume.
...
etc.
...
Finally, it has fallen to last leaf, and lost 1/75 of its volume.

Question is, how many per cent of initial volume raindrop had after all fallings (Enter answer with accurate to 2 decimal places).

## Recommended Posts

• 0

Let k = its volume

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%

Answer:  4.00%

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