Alligation–Mixture (Adjusting Ratio by Adding Water):\nA 25-L mixture has milk:water = 4:1. After adding 3 L water, what is the new milk:water ratio?

Difficulty: Easy

Correct Answer: 5:2

Explanation:


Introduction / Context:
Adding a component changes ratios while keeping the other component constant.



Given Data / Assumptions:

  • Total initial = 25 L with milk:water = 4:1.
  • Add 3 L water; milk unchanged.


Concept / Approach:
Compute actual amounts from the ratio, then add water and simplify the new ratio.



Step-by-Step Solution:
1) Milk = 25 * (4/5) = 20 L; Water = 5 L.2) Add 3 L water ⇒ new water = 8 L.3) New ratio = 20 : 8 = 5 : 2.



Verification / Alternative check:
Scaling by common factor 4 confirms 5:2.



Why Other Options Are Wrong:
5:1 ignores added water; 5:3, 5:4 do not match computed amounts.



Common Pitfalls:
Changing milk amount when only water is added.



Final Answer:
5:2

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