Correct Answer - Option 3 : 12 liters
Given:
Old ratio of apple juice to orange juice = 2 : 3
New ratio = 1 : 2
Orange juice added = 2 liters
Calculations:
Here, assume X to be initial quantity of mixture
⇒ Quantity of apple juice in old mixture = (2 / 5) × X
⇒ Quantity of orange juice in old mixture = (3 / 5) × X
Now, 2 liters is added
⇒ ((2/5) × X)/(((3/5) × X) + 2) = 1 : 2
⇒ 2X/(3X + 10) = 1 : 2
⇒ 4X = 3X + 10
⇒ X = 10 liters
⇒ New mixture = 10 + 2
∴ Quantity of new mixture is 12 liters