Alligation–Mixture (Adjusting Ratio by Adding Water): A 25-L mixture has milk:water = 4:1. After adding 3 L water, what is the new milk:water ratio?
Aptitude
Alligation or Mixture
Difficulty: Easy
Choose an option
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A5:1
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B5:2
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C5:3
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D5:4
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ENone of these
Answer
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