Exams › IBPS PO › Quantitative Aptitude
A vessel with a capacity of 108 litres is full of pure milk. \(X\) litres of milk is taken out and replaced with water. Again, \(X\) litres of the mixture is taken out and replaced with water. Now the vessel contains only 48 litres of milk. What is the value of \(X\)?
- 36 litres
- 24 litres
- 30 litres
- 40 litres
Correct answer: 36 litres
Solution
After the first replacement, milk left is \(108\left(1-\frac{X}{108}\right)\). After the second replacement, it becomes \(108\left(1-\frac{X}{108}\right)^2\). Equating this to 48 and solving gives \(X=36\) litres.
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