You are given a math word problem and you are supposed to make use of mathematical concepts like probability, combinatorics, linear equations, sequences/series, or simple operators like addition, subtraction, division, or multiplication to answer the given question. Choose the best option from the 5 given options and report that option.

Input: Consider Input: Question: The purchase price of an article is $48. In order to include 5% of cost for overhead and to provide $12 of net profit, the markup should be

 Option A: 15%

 Option B: 25%

 Option C: 30%

 Option D: 40%

 Option E: 45%

Output: Option C


Input: Consider Input: Question: Amit, Raju and Ram agree to pay their total electricity bill in the proportion 3 : 4 : 5. Amit pays first day's bill of Rs. 50, Raju pays second day's bill of Rs. 55 and Ram pays third day's bill of Rs. 75. How much amount should Amit pay to settle the accounts?

 Option A: Rs. 15.25

 Option B: Rs. 17

 Option C: Rs. 12

 Option D: Rs. 5

 Option E: NONE OF THE ABOVE

Output: Option D


Input: Consider Input: Question: A polling company reports that there is a 50% chance that a certain candidate will win the next election. If the candidate wins, there is a 60% chance that she will sign Bill X and no other bills. If she decides not to sign Bill X, she will sign either Bill Y or Bill Z, chosen randomly. What is the chance that the candidate will sign Bill Z?

 Option A: 11

 Option B: 10

 Option C: 6

 Option D: 4

 Option E: 5


Output: Option B