A vessel was containing 80 litres of pure milk. 16 litres of pure milk was taken out and replaced with equal amount of water. 16 litres of newly formed mixture of water and milk was taken out and then 24 litres of water was added to the mixture. What is the respective ratio between the quantity of milk and water in the final mixture ?

Quantity of pure milk in the vessel = 80 litres

After 16 litres of milk is taken out, and replaced with water

=> Milk left = 80 - 16 = 64 litres

Water left = 16 litres

Now, if 16 litres of mixture is taken out, i.e. $$(\frac{1}{5})^{th}$$ of the mixture

=> Milk left = $$64 - \frac{1}{5} \times 64 = 51.2$$ litres

Water left = $$16 - \frac{1}{5} \times 16 = 12.8$$ litres

Now, 24 litres of water is added, quantity of milk will remain unaffected.

=> Milk = 51.2 litres

Water = 12.8 + 24 = 36.8 litres

$$\therefore$$ Ratio = 51.2 : 36.8 = 32 : 23