Raindrop

[Thorak]

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).

[Perhaps check it again]

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%