Let, capacity of each bottle = x
Ratio of milk and water in first bottle = 2 ∶ 3
∴ Quantity of milk in first bottle = 2x/5
∴ Quantity of water in first bottle = 3x/5
Ratio of milk and water in second bottle = 3 ∶ 5
∴ Quantity of milk in second bottle = 3x/8
∴ Quantity of water in second bottle = 5x/8
Ratio of milk and water in third bottle = 4 ∶ 5
∴ Quantity of milk in third bottle = 4x/9
∴ Quantity of water in third bottle = 5x/9
∴ Total quantity of milk,
⇒ 2x/5 + 3x/8 + 4x/9
⇒ (144x + 135x + 160x)/360
⇒ 439x/360
∴ Total quantity of water,
⇒ 3x/5 + 5x/8 + 5x/9
⇒ (216x + 225x + 200x)/360
⇒ 641x/360
∴ the ratio of milk and water respectively in the large bottle,
⇒ 439x/360 ∶ 641x/360
⇒ 439 ∶ 641