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

Example Input: Problem: divide rs . 32000 in the ratio 3 : 5 ? 
Options: a ) 12000 , 20000 , b ) 12000 , 200098 , c ) 12000 , 20007 , d ) 12000 , 20006 , e ) 12000 , 20001
Example Output: a

Example Input: Problem: find the compound ratio of ( 1 : 2 ) , ( 1 : 3 ) and ( 3 : 5 ) is 
Options: a ) 1 : 10 , b ) 2 : 3 , c ) 3 : 4 , d ) 4 : 5 , e ) 3 : 2
Example Output: a

Example Input: Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people v who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500
Example Output:
d