In this task, you need to provide the correct option for a given problem from the provided options.

Input: Consider Input: Problem: the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: a ) 40 , b ) 60 , c ) 50 , d ) 30 , e ) 70

Output: b


Input: Consider Input: Problem: there are two positive numbers in the ratio 4 : 8 . if the larger number exceeds the smaller by 16 , then find the smaller number ? 
Options: a ) 25 , b ) 20 , c ) 77 , d ) 88 , e ) 44

Output: b


Input: Consider Input: Problem: of the female students at barkely university , 1 / 6 are on the honor roll . of the male students , 2 / 5 are on the honor roll . if 3 / 5 of the students are female , what is ratio of male to female students on honor roll ? 
Options: a ) 8 / 5 , b ) 3 / 15 , c ) 23 / 30 , d ) 43 / 60 , e ) 53 / 90


Output: a