Multiple choice

A container contains 100 L of milk. From this container 10 L of milk was taken out and replaced by water. This process was further repeated three times. How much milk does the container have now?

  1. 72.9 L

  2. 65.61 L

  3. 34.39 L3

  4. 81 L
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The formula for remaining amount is A = P * (1 - r/P)^n. Here P=100, r=10, n=4. A = 100 * (0.9)^4 = 100 * 0.6561 = 65.61 L.

AI explanation

Using the replacement formula, the final amount of milk equals the initial amount multiplied by (1 minus the replacement volume divided by the total volume) raised to the power of the number of operations. The process is repeated a total of 4 times, giving 100 multiplied by (1 minus 10 divided by 100) to the power of 4. This evaluates to 100 multiplied by 0.9 to the power of 4, resulting in 100 multiplied by 0.6561, which is 65.61 L.

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