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.

Example Input: Problem: ms. harris invested in fund x and fund b. the total amount she invested, in both funds combined, was $ 100000. in one year, fund x paid 23 % and fund b paid 17 %. the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x. how much did ms. morris invest in fund x ?
Options: a. $ 32000, b. $ 36000, c. $ 40000, d. $ 42000, e. $ 45,000
Example Output: d

Example Input: Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm. what is the area of the triangle ?
Options: a. 87 cm 2, b. 28 cm 2, c. 98 cm 2, d. 26 cm 2, e. 50 cm 2
Example Output: e

Example Input: Problem: in an examination, 300 students appeared. out of these students; 30 % got first division, 54 % got second division and the remaining just passed. assuming that no student failed; find the number of students who just passed.
Options: a. 33, b. 37, c. 54, d. 99, e. 48
Example Output:
e