Successive Replacement of Liquid

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Mixtures and Alligations

A vessel has 500 litres of milk. 50 litres of milk is replaced with 50 litres of water in this vessel. If this operation is repeated another 2 more times, what is the percentage of milk in the vessel at the end?

  1. A.

    70.0

  2. B.

    72.9

  3. C.

    80.0

  4. D.

    81.0

Answer

B

Explanation

Total operations n=3n = 3. Remaining milk fraction = (1−50500)3=(910)3=0.729\left(1 - \frac{50}{500}\right)^3 = \left(\frac{9}{10}\right)^3 = 0.729. In percentage, milk remaining = 72.9%72.9\%.

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