There is a milk sample with 50% water in it. If 1/3rd of this milk is added to equal amount of pure milk, then water in the new mixture will fall down to

Here's a brief explanation:

1. Initial Sample: A milk sample has 50% water. This means if you take any amount of this sample, half of it is water and half is pure milk.

2. 1/3rd of the Sample: Let's assume we take 100 units of this original sample. It will contain 50 units of water and 50 units of pure milk.

3. Adding Pure Milk: This 100 units (from step 2) is added to an "equal amount" of pure milk. So, we add another 100 units of pure milk (which contains 0 water).

4. New Mixture Composition:

   • Total volume of the new mixture = 100 units (from sample) + 100 units (pure milk) = 200 units.
   • Total water in the new mixture = 50 units (from sample) + 0 units (from pure milk) = 50 units.

5. Water Percentage: The percentage of water in the new mixture is (Total water / Total volume) * 100 = (50 / 200) * 100 = (1/4) * 100 = 25%.

Therefore, the water in the new mixture will fall down to 25%.

Option Analysis:

• A) 25%: This is the correct percentage calculated.
• B) 30%: Incorrect.
• C) 35%: Incorrect.
• D) 40%: Incorrect.