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

[Q]: Problem: the ratio between the sale price and the cost price of an article is 6 : 5 . what is the ratio between the profit and the cost price of that article ? 
Options: a ) 2 : 9 , b ) 1 : 5 , c ) 3 : 6 , d ) 2 : 0 , e ) 2 : 1
[A]: b


[Q]: Problem: there are 10 girls and 20 boys in a classroom . what is the ratio of girls to boys ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 10 / 30 , e ) 2 / 5
[A]: a


[Q]: Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 12 and 13 . the larger of the two numbers is : 
Options: a ) 299 , b ) 278 , c ) 322 , d ) 231 , e ) 121
[A]:
a