Question : Two vessels of equal capacity contain juice and water in the ratio of 3 : 5 and 3 : 1 respectively. The mixture of both vessels is mixed and transferred into a bigger vessel. What is the ratio of juice and water in the new mixture?
Option 1: 13 : 9
Option 2: 9 : 7
Option 3: 8 : 9
Option 4: 7 : 3
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Correct Answer: 9 : 7
Solution :
Let the capacity of each vessel be 8 litres.
The ratio of juice and water in the first vessel = 3 : 5
So, the quantity of juice in the first vessel = 3 litres
The quantity of water in the first vessel = 5 litres
The ratio of juice and water in the second vessel = 3 : 1
So, the quantity of juice in the first vessel = 6 litres
The quantity of water in the first vessel = 2 litres
⇒ Juice to water in final mixture = $\frac{3+6}{5+2}$
⇒ Juice to water in final mixture = 9 : 7
Therefore, the ratio of juice to water in the new mixture is 9 : 7
Hence, the correct answer is 9 : 7.
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