Quantity of water in the mixture = 120/3 = 40 liters
Quantity of milk in the mixture = 120 - 40 = 80 liters
Ratio of water and milk = 1 : 2
Water removed = 30 * 1/3 = 10 liters
Milk removed = 30 - 10 = 20 liters
Milk added = 10 liters
Quantity of water in the remaining mixture = 40 - 10 = 30 liters
Quantity of milk in the remaining mixture = 80 - 20 + 10 = 70 liters
Required ratio = 70 : 30 = 7 : 3
Express method :
Quantity of water in the mixture = 120/3 = 40 liters
Quantity of milk in the mixture = 120 - 40 = 80 liters
Required ratio = (80 - 30 * 2/3 + 10) : (40 - 30 * 1/3) = 70 : 30 = 7 : 3