Multiple choice

A vessel contains 50 litres of pure milk. From these 10 litres of milk is replaced with water. The process is repeated one more time. Find the quantity of milk in the final solution.

  1. 32

  2. 31

  3. 30

  4. 29

  5. 28
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Initial milk = 50. After 1st replacement: 50 * (1 - 10/50) = 40. After 2nd replacement: 40 * (1 - 10/50) = 40 * 0.8 = 32.

AI explanation

Using the mixture replacement formula, the remaining quantity of pure milk is calculated as Initial Quantity multiplied by (1 minus Replaced Volume divided by Total Volume) raised to the power of n. Substituting the values gives 50 multiplied by (1 minus 10 divided by 50) squared, simplifying to 50 multiplied by 0.8 squared. This equals 50 multiplied by 0.64, resulting in 32 litres of milk.

Keep practicing — related questions