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A milkman adds 10 litres of water to 90 litres of milk. After selling \(\frac{1}{5}\) of the total…

The new proportion of water to milk is 28 : 72. The 100-litre mixture is 10% water, so selling one-fifth (20 litres) removes 2 litres of water and 18 litres of milk, leaving…

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A milkman adds 10 litres of water to 90 litres of milk. After selling 15\frac{1}{5} of the total quantity, he adds water equal to the quantity he sold. The proportion of water to milk he sells now would be:

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The new proportion of water to milk is 28 : 72. The 100-litre mixture is 10% water, so selling one-fifth (20 litres) removes 2 litres of water and 18 litres of milk, leaving 8 litres of water and 72 litres of milk. Adding 20 litres of water gives 28 litres of water and 72 litres of milk. 72 : 28 is the same pair taken as milk to water; 30 : 70 treats the 20 litres sold as pure milk, and 20 : 80 counts only the water added after the sale.

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