Multiple choice

There is $1000$ litres milk in a pot. $100$ litres of milk is taken out and same amount of water is poured into it. Again $200$ litres of mixture is taken out and same amount of water is poured into it and finally $400$ litres of mixture is taken out and same amount of water is poured into it then what is the amount of milk in the resulting mixture?

  1. $432$
  2. $436$
  3. $425$
  4. $438$
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A Correct answer
Explanation

Initial milk = 1000. After 100 out, 900 left. After 200 out of mixture (20% of 1000), 20% of milk is removed: 900 - 180 = 720. After 400 out of mixture (40% of 1000), 40% of milk is removed: 720 - 288 = 432.

AI explanation

Using the formula for repeated replacement, the remaining milk is calculated as Initial Volume multiplied by the fractions of remaining volume after each operation. We calculate the milk as 1000 multiplied by (900/1000), then by (800/1000), and finally by (600/1000). This gives 1000 multiplied by 0.9, 0.8, and 0.6, resulting in 1000 multiplied by 0.432, which equals 432 litres of milk.

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