Question : In a 255-litre mixture of milk and water, the ratio of milk and water is 4 : 1. Find the quantity of water required to make the ratio of milk and water 4 : 3.
Option 1: 94 litres
Option 2: 51 litres
Option 3: 102 litres
Option 4: 55 litres
Correct Answer: 102 litres
Solution :
Given: In a 255-litre mixture of milk & water, the ratio of milk and water is $4:1$.
Quantity of milk in mixture = $255\times\frac{4}{5}=204$ litres
Quantity of water in mixture = $255\times\frac{1}{5}=51$ litres
The ratio of milk and water in the new mixture = 4 : 3
Let the required amount of water be $x$ litres.
According to the question,
$\frac{204}{51+x}=\frac{4}{3}$
⇒ $204+4x=612$
⇒ $4x=408$
$\therefore x=102$ litres
Hence, the correct answer is 102 litres.
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