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: paul ' s income is 40 % less than rex ' s income, quentin ' s income is 20 % less than paul ' s income, and sam ' s income is 40 % less than paul ' s income. if rex gave 60 % of his income to sam and 40 % of his income to quentin, quentin ' s new income would be what fraction of sam ' s new income ?
Options: a. 11 / 12, b. 13 / 17, c. 13 / 19, d. 12 / 19, e. 11 / 19
A:
a