Multiple choice

A vessel contains 1000 lts pure milk. 100 lts is removed and replaced by water. This process is repeated 2 more times. How many litres milk is now present in the solution?

  1. 700

  2. 810

  3. 729

  4. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Remaining milk = Initial * (1 - removed/total)^n = 1000 * (1 - 100/1000)^3 = 1000 * (0.9)^3 = 1000 * 0.729 = 729.

AI explanation

Using the formula for replacement, the final amount of milk is calculated as Initial Amount multiplied by (1 minus R divided by 100) raised to the power of n. Here, the remaining milk is 1000 multiplied by 0.9 cubed. This calculates to 1000 multiplied by 0.729, resulting in 729 litres.

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