Ratio of milk and water in two mixtures A and B is 3 : 2 and 4 : 3 respectively. If A and B are mixed in the ratio of 1 : 2, then what is the ratio of milk and water in final mixture?

Correct option is A

Given:
Ratio of milk and water in A = 3 : 2
Ratio of milk and water in B = 4 : 3
A and B are mixed in the ratio of 1 : 2
Concept Used:
If A and B are mixed in ratio of x : y, then part of A in Mixture = x/(x + y)
Solution:
Let us equate the parts of mixture A and mixture B i.e., 35 parts = (3 + 2) × (4 + 3))
Then, Ratio of Milk and Water in mixture A = 21 : 14 and,
Ratio of Milk and Water in mixture B = 20 : 15
If mixture A and mixture B are mixed in ratio of 1 : 2 then,
Ratio of Milk and Water in mixture A = 21 : 14
Ratio of Milk and Water in mixture B = 40 : 30
Ratio of Milk and water in the new mixture = (21 + 40) : (14 + 30) = 61 : 44