Question

A container has a capacity of 20 gallons and is full of spirit. 4 gallons of spirit is drawn out and the container is again filled with water. This process is repeated 5 times. Find out how much spirit is left in the resulting mixture finall

Answer 1

Answer:

4^6/5^4

Step-by-step explanation:

When we remove 4 gallons of spirit, 1/5th of spirit is removed and we are left with 4/5th of the spirit.

Second time, when we remove 4 gallons again, 1/5th of spirit and 1/5th of water content will go. THat is 1/5th of remaining 4/5th of spirit is removd and we are left with 4/5th of 4/5th spirit.

So everytime, 1/5th of liquid is removed, we are left with 4/5th of spirit.

Hence 5 times we are left with = 20 (4/5)^5

= 4^6/5^4