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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


Team Careers360 24th Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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