Multiple choice

From a container having pure milk in it, Sukhiram removed 𝑛% of it and replenished it with an equal amount of water. He repeated the process one more time after which, he observed that, the container using which he was removing the liquid actually accommodated (𝑛 + 5)% of the solution, owing to which, the ratio of the concentration of milk which he was supposed to get after performing the process twice to the concentration that he actually got was 256 : 225. What percentage of the solution, to the nearest integer, should he remove on the third attempt so as to obtain the desired concentration of milk that he had planned to achieve?

  1. 9

  2. 15

  3. 12

  4. 5
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

The problem involves successive dilution. The concentration after two steps is (1 - n/100)^2. The problem states the actual concentration is affected by the container size (n+5). Solving the ratio 256:225 leads to n=20. Calculating the third step to reach the target requires a 9% removal.

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