In this task, you need to answer the given multiple-choice question on the general math. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

Input: Consider Input: Problem: a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 400 when the rate to profit rises from 5 to 7 percent . find the capital of c ? 
Options: a ) 3377 , b ) 2899 , c ) 5000 , d ) 2778 , e ) 1991

Output: c


Input: Consider Input: Problem: how many 3 - digit positive integers are there , where each digit is positive , and no 3 adjacent digits are same ? 
Options: a ) 1236 , b ) 504 , c ) 4096 , d ) 4608 , e ) 6561

Output: b


Input: Consider Input: Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 150 , what is the value of a − c ? 
Options: a ) − 220 , b ) − 100 , c ) 100 , d ) − 80 , e ) it can not be determined from the information given


Output: d