An algebra problem by ashutosh mahapatra

Algebra Level 3

In a vessel full of 5 liters of milk, 250 ml is withdrawn five times and replaced with an equal volume of water, each time. What is the concentration of milk left in the vessel (volume to volume), in percentage?


The answer is 77.2.

Ashutosh Mahapatra by ashutosh mahapatra , 22, India

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2 solutions

it can be solved by simple formula after nth operation milk left in the vessel =x[1-y/x]^n where x is the initial amount of milk and y is the quantity that is taken out. after calculation milk left =3.86 and The concentration is 3.86/5*100=77.3%

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Ashwin K
Feb 2, 2016

This problem is part of allegation:

To find the concentration of milk in the vessel in percentage, we need,

Quantity removed = 250ml

Initial Quantity = 5000ml

Number of times withdrawn = 5

Formula: (1-(250/5000))^5*100 = 77.3%

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