Given a math problem with context and a question and 5 answer choices, the task is to provide the correct answer choice based on the problem. You must choose one of the given answer choices by letter: a, b, c, d, or e; anything else is invalid.

[EX Q]: Problem: the salary of a person was reduced by 14 %. by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Options: a. 10 %, b. 16.3 %, c. 13.7 %, d. 15.1 %, e. 12.3 %
[EX A]: b

[EX Q]: Problem: a can give b 50 meters start and c 100 meters start in a kilometer race. how much start can b give c in a kilometer race ?
Options: a. 111.12, b. 111.67, c. 111.64, d. 52.63, e. 101.12
[EX A]: d

[EX Q]: Problem: mary and mike enter into a partnership by investing $ 550 and $ 450 respectively. at the end of one year, they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business. if mary received $ 1000 more than mike did, what was the profit made by their business in that year ?
Options: a. $ 8000, b. $ 10000, c. $ 15000, d. $ 12000, e. $ 12500
[EX A]:
c