Mixtures & Alligation · Question 28 · Hard
Mixtures & Alligation question 28
A vessel contains milk and water in the ratio 5 : 3. When 16 litres of the mixture is drawn off and replaced with water, the ratio becomes 3 : 5. How many litres did the vessel hold?
- 32 litres
- 48 litres
- 64 litres
- 40 litres
Answer and explanation
Answer: D. 40 litres
Explanation: After removal the remaining (T − 16) litres keep the 5 : 3 ratio; then 16 L water is added. 5 × (5/8)(T − 16) = 3 × [(3/8)(T − 16) + 16] gives (25 − 9)/8 × (T − 16) = 48, so T − 16 = 24 and T = 40 litres.
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