A container has 30 litres of milk from which 3 litres of milk is taken out and replaced with water T...........

Quantitative Aptitude (MTS) Mixture and Alligation

A container has 30 litres of milk, from which 3 litres of milk is taken out and replaced with water. The process is done three

times. What is the final ratio of the water and the milk in the container?

This questions was previously asked in

SSC MTS 2nd Nov 2021 Shift-1

729 : 271

19 : 81

81 : 19

271 : 729

- The initial amount of milk in the container is 30 litres. Each time, 3 litres of milk is removed and replaced with water.

- After the first removal, the milk left is \((30 - 3) = 27\) litres.

- After 3 rounds, the amount of milk left can be calculated by:

\(30 \times \left(\frac{27}{30}\right)^3 = 30 \times \frac{19683}{27000} = 21.87\) litres approximately.

- Water added = Total volume - Milk remaining = \(30 - 21.87 = 8.13\) litres approximately.

- Final ratio, Water : Milk \(= 8.13 : 21.87 \approx 271 : 729\).

271 : 729 is the correct answer.

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