Question

A vessel contains 180 litres of milk , 60 litres are taken out of the vessel everyday & equal quantity of

water is added. What quantity of milk remains in the vessel at the end of 3 days ?

a. 59 5/7 litres b. 65 1/5 litres

c. 53 1/3 litres d. 61 7/9 litres

Answer 1

Assume a container contains x units of a milk. From the container, y units are taken out and replaced by water, n number of times. the quantity of pure milk remaining = x(1 - y/x)ⁿ

180(1 - 60/180)³ = 180(1 - 1/3)³ = 180 x (2/3)³ = 180 x 8/27 = 160/3 = 53  1/3 litres