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: a textile manufacturing firm employees 100 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 100 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
Options: a. 13000, b. 7000, c. 10000, d. 3500, e. none of these
[A]: d


[Q]: Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × z, what is the value of z ?
Options: a. 35, b. 42, c. 45, d. 49, e. 54
[A]: d


[Q]: Problem: a can do a half of certain work in 70 days and b one third of the same in 35 days. they together will do the whole work in ?
Options: a. 1 / 65, b. 1 / 62, c. 1 / 63, d. 1 / 60, e. 1 / 61
[A]:
d