Question : A bottle holds 8 litres of a mixture of milk and water in a ratio of 3 : 1. 3 litres of water is added to the given mixture. Find the new ratio of milk and water in the mixture.
Option 1: 3 : 2
Option 2: 1 : 3
Option 3: 2 : 3
Option 4: 6 : 5
Correct Answer: 6 : 5
Solution :
The mixture has a ratio of milk to water of 3 : 1, which means for every 3 parts of milk, there is 1 part of water
⇒ Total number of parts is 3 (milk) + 1 (water) = 4
⇒ Value of 1 part in volume of 8 litres = $\frac{8}{4}$ = 2 litres
So, volume of Milk = 3 parts × 2 litres = 6 litres
and volume of Water = 1 part × 2 litres = 2 litres
After adding 3 litres of water
⇒ Volume of water = 2 litres + 3 litres = 5 litres
So, the new ratio of milk to water = 6 : 5
Hence, the correct answer is 6 : 5.
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