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A milkman has a mixture of milk in which the ratio of milk and water is 7:4. He sells 55 litres of this…

Let the original mixture be 7k of milk and 4k of water. Selling 55 litres removes 35 litres of milk and 20 litres of water, and adding 20 litres of water restores water to…

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A milkman has a mixture of milk in which the ratio of milk and water is 7:4. He sells 55 litres of this mixture and then adds up 20 litres of pure water. Now the ratio of milk and water is 7:6. Find the new quantity of this mixture.

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Correct answer C

Let the original mixture be 7k of milk and 4k of water. Selling 55 litres removes 35 litres of milk and 20 litres of water, and adding 20 litres of water restores water to 4k. Then 7k−354k=76\frac{7k-35}{4k}=\frac{7}{6} gives k=15k=15, so the new mixture is 70 litres of milk and 60 litres of water, that is 130 litres.

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