There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it?

• A. 111:108
• B. 11:9
• C. 103:72
• D. None

Answer: (B)

From the given data,   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   Then,   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   Hence, the ratio of the mixture of honey and water in the third mixture is 11 : 9 .