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

Example Input: Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is 
Options: a ) 7000 , b ) 9000 , c ) 8000 , d ) 9900 , e ) 7900
Example Output: b

Example Input: Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 11 and 12 . what is the largest number . 
Options: a ) 462 , b ) 450 , c ) 480 , d ) 504 , e ) 555
Example Output: d

Example Input: Problem: if all 6 are replaced by 9 , the algebric sum of all numbers from 1 to 100 ( both inclusive ) varies by , 
Options: a ) 980 , b ) 330 , c ) 660 , d ) 990 , e ) 300
Example Output:
b