Correct Answer - Option 1 : 3 : 4

**Given:**

Ratio of water and milk in P is 4 : 5

Ratio of water and milk in Q is 1 : 2

**Calculations:**

Taking the ratio of water and milk in P and Q in the equal unit,

Ratio of water and milk in P = 4 : 5

Ratio of water and milk in Q = 3 : 6

Ratio of water and milk in the mixture = (4x + 3y)/(5x + 6y)

⇒ (4x + 3y)/(5x + 6y) = 8/13

⇒ 52x + 39y = 40x + 48y

⇒ 12x = 9y

⇒ x/y = 9/12

⇒ x/y = 3/4

**∴**** The ratio of x and y is 3 :**** 4**