TASK DEFINITION: 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.
PROBLEM: Problem: the diagonal of a rectangle is 41 cm and its area is 20 sq. cm. the perimeter of the rectangle must be :
Options: ['a. 18', 'b. 28', 'c. 38', 'd. 48', 'e. 58']

SOLUTION: a

PROBLEM: Problem: a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store, at the end of one month the number of total items sold increases 15 %. their gross income from sales for one month increases by what percent ?
Options: a. 1.5 %, b. 2.5 %, c. 3.5 %, d. 4.5 %, e. 5.5 %

SOLUTION: c

PROBLEM: Problem: a invested $ 100 in a business after 6 months b invested $ 200 in the business. end of the year if they got $ 100 as profit. find a shares ?
Options: a. $ 100, b. $ 75, c. $ 20, d. $ 120, e. $ 50

SOLUTION:
e