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CAT 2024 Slot 3 QA Question 14

Type-in-the-answer (no negative marking) · Arithmetic · Mixture & Alligation · Try it, then check the answer and solution below.

CAT 2024 Slot 3QAArithmetic • Mixture & AlligationModerate
A certain amount of water was poured into a 300 litre container and the remaining portion of the container was filled with milk. Then an amount of this solution was taken out from the container which was twice the volume of water that was earlier poured into it, and water was poured to refill the container again. If the resulting solution contains 72% milk, then the amount of water, in litres, that was initially poured into the container was
TITA Answer:
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Answer and solution

Answer: 30

📌 Core Concept
This problem involves mixtures and alligation. The key formula used is the concentration of a solution after mixing and removing portions.
🔢 Step-by-Step Solution
1
Define Variables:
Let ww be the initial amount of water in litres.
Initial milk volume = 300 - w$ litres.
2
Volume Removed:
Removed solution volume = 2w$ litres.
Milk removed = 2w × 300−w300\frac{300 - w}{300}$.
Water removed = 2w × w300\frac{w}{300}$.

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