Today's Puzzle No.12

Thursday, December 23, 2010

Question:

1/3 rd of the contents of a container evaporated on the 1st day. 3/4th of the
remaining contents of the container evaporated on the second day.
What part of the contents of the container is left at the end of the second day?

Answer:
Assume that contents of the container is X
On the first day 1/3rd is evaporated.
(1 - 1/3) of X is remaining i.e. (2/3)X
On the Second day 3/4th is evaporated. Hence,
(1- 3/4) of (2/3)X is remaining
i.e. (1/4)(2/3)X = (1/6) X
Hence 1/6th of the contents of the container is remaining