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 mixtures 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.

Quantity of milk in the first mixture = $$\frac{5}{8}$$

Another mixture, of the same volume as that of the former, contains water and milk in the ratio (by volume)1 : 3.

Quantity of milk in the second mixture = $$\frac{3}{4}$$

After mixing the ratio is 7:3.

Quantity of milk in the mixture after mixing = $$\frac{7}{10}$$

Now in the given information mixture and allegation can be applied which is given below in the diagram.

From this, we can obtain that the first and second mixtures were mixed in a ratio of 2:3.