1. 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 ?






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  • By: anil on 05 May 2019 01.40 am
    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 = $$64 - frac{1}{5} imes 64 = 51.2$$ litres Water left = $$16 - frac{1}{5} imes 16 = 12.8$$ 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 $$ herefore$$ Ratio = 51.2 : 36.8 = 32 : 23
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