There are two mixtures of honey and water in which the ratio of honey and water are as 1 3 and 3 1 r...........

Explanation:

The part of honey in the first mixture = 1/4

The part of honey in the second mixture = 3/4

Let the part of honey in the third mixture = x

1/4             3/4

           x

(3/4)-x     x-(1/4)

Given from mixtures 1 & 2 the ratio of mixture taken out is 2 : 3

=> 3/4−x /x−1/4 = 2/3

Solving we get the part of honey in the third mixture as 11/20

= the remaining part of the mixture is water = 9/20

The ratio of the mixture of honey and water in the third mixture is 11 : 9.

Hence, option 4 is the correct answer.