Multiple choice

A vessel contains pure milk. 10% of the contents of the vessel are removed and replaced by water thrice. Find the final concentration of milk in the solution.

  1. 729%

  2. 72.9%

  3. 81%

  4. 72%
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The concentration of milk after n replacements is C = Initial * (1 - r/100)^n. Here, n=3 and r=10. C = 100 * (0.9)^3 = 100 * 0.729 = 72.9%.

AI explanation

The final concentration of milk is determined by multiplying the initial concentration by (1 minus R divided by 100) raised to the power of n, where R is the 10 percent removed and n is the 3 repetitions. The calculation is 100 multiplied by 0.9 cubed. This equals 100 multiplied by 0.729, giving a final concentration of 72.9 percent.

Keep practicing — related questions