A container contains 80 kg. of milk. From this container, 8 kg. of milk was taken out and replaced b

M4maths Previous Puzzles

28 Jan 2016 Mixture

A container contains 80 kg. of milk. From this container, 8 kg. of milk was taken out and replaced by water. This process was further repeated two times. How much milk is now contained by the container?

OPtion

1) 56.55 kg
2) 50.50 kg
3) 46.80 kg
4) 58.34 kg
5) 62.86 kg
6) 72.4 kg
7) 64.40 kg
8) 62.24 kg
9) 54.38 kg
10)None of these

Solution

By using - Amount of liquid left after n operation, when the container originally contains x units of liquid, from which y units is taken out each time is
x ( 1 - y/x)^n units
Amount of milk left
80 (1 -1 8/80)^3 kg = 58.34 kg
Option 4)

Correct Option: 4 Best Solution (4)