Question : A mixture contains milk and water in the ratio 5 : 2. If 4 liters of water is added to the mixture, the ratio becomes 5 : 4. What is the quantity of milk in the given mixture?
Option 1: 2 litres
Option 2: 8 litres
Option 3: 5 litres
Option 4: 10 litres
Correct Answer: 10 litres
Solution :
Let the initial milk be $5k$ and water be $2k$ litres
Amount of water added = 4 litres
Now,
$\frac{5k}{2k+4}=\frac{5}{4}$
⇒ $20k=10k+20$
⇒$10K=20$
⇒ $k=2$
⇒ Amount of milk =$5k=5\times 2$= 10 litres
Hence, the correct answer is 10 litres.
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