Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Numbers, Quantification and Numerical Applications

Question:

A container contains 100 liters of milk. From this container, 10 liters of milk is taken out and replaced by water. This process is repeated two more times. The amount of milk left in the container now is:

Options:

85 liters

70 liters

67.1 liters

72.9 liters

Correct Answer:

72.9 liters

Explanation:

The correct answer is Option (4) → 72.9 liters

Total volume of container = 100 liters

Milk taken out each time = 10 liters

Fraction of milk left after each operation = $\frac{100-10}{100}=\frac{90}{100}=\frac{9}{10}$

After 3 repetitions, amount of milk left = $100\left(\frac{9}{10}\right)^3$

$=100\cdot\frac{729}{1000}$

$=72.9$ liters

Milk left = 72.9 liters