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.

Input: Consider Input: Problem: income and expenditure of a person are in the ratio 7: 6. if the income of the person is rs. 14000, then find his savings ?
Options: a. 500, b. 1000, c. 1500, d. 2000, e. 2500

Output: d


Input: Consider Input: Problem: the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 22 years. find the average age of the women ?
Options: a. 87, b. 98, c. 30, d. 29, e. 37

Output: d


Input: Consider Input: Problem: points a, b, and, c have xy - coordinates ( 2,0 ), ( 8,12 ), and ( 14,0 ), respectively. points x, y, and z have xy - coordinates ( 6,0 ), ( 8,4 ), and ( 10,0 ), respectively. what fraction q of the area of triangle abc is the area of triangle xyz ?
Options: a. 1 / 9, b. 1 / 8, c. 1 / 6, d. 1 / 5, e. 1 / 3


Output: a