Detailed Instructions: 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.
Q: Problem: tom opened a shop investing rs. 3000. jose joined him 2 months later, investing rs. 4500. they earned a profit of rs. 5400 after completion of one year. what will be jose ' s share of profit ?
Options: a. 3000, b. 2200, c. 2309, d. 2400, e. 3200
A:
a