Question : A mixture contains milk and water in a ratio of 5 : 3, respectively. On adding 7 litres of water, the ratio of milk to water becomes 1 : 2. Find the quantity of milk in the mixture.
Option 1: 7 litres
Option 2: 10 litres
Option 3: 5 litres
Option 4: 3 litres
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Correct Answer: 5 litres
Solution :
Let the quantity of milk and water in the mixture be $5x$ and $3x$.
Quantity of water added $=$ 7 litres
The new quantity of water in the mixture $= 3x+7$ litres
According to the question,
$\frac{(5x)}{(3x+7)} = \frac{1}{2}$
⇒ $10x = 3x+7$
⇒ $7x=7$
⇒ $x=1$
So, the quantity of milk $= 5x =$ 5 litres
Hence, the correct answer is 5 litres.
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