Teacher: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.
Teacher: Now, understand the problem? Solve this instance: 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
Student:
c