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A mixture contains milk and water in the ratio (by volume) 5 : 3 and another mixture of the same volume as that of the former, contains water and milk in the ratio (by volume) 1 : 3. In what ratio, two mixture be mixed in order to obtain a new mixture consisting of milk and water in the ratio (by volume) 7 : 3?

A mixture contains milk and water in the ratio (by volume) 5 : 3 and another mixture of the same volume as that of the former, contains water and milk in the ratio (by volume) 1 : 3. In what ratio, two mixture be mixed in order to obtain a new mixture consisting of milk and water in the ratio (by volume) 7 : 3? Correct Answer 2 : 3

Amount of milk in first mixture = 5/8

⇒ Amount of milk in second mixture = 3/4

⇒ Amount of milk in the required solution = 7/10

By allegation method,

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∴ The required ratio = 2/40 : 6/80 = 2 : 3

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