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: by selling 20 pencils for a rupee a man loses 30 %. how many for a rupee should he sell in order to gain 30 % ?
Options: a. 8.56, b. 10.75, c. 14.5, d. 16.5, e. 11.4

SOLUTION: b

PROBLEM: Problem: find large number from below question the difference of two numbers is 1000. on dividing the larger number by the smaller, we get 10 as quotient and the 10 as remainder
Options: a. 1234, b. 1110, c. 1456, d. 1200, e. 1600

SOLUTION: b

PROBLEM: Problem: in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 80 more candidates got selected than a. what was the number of candidates appeared from each state ?
Options: a. 7000, b. 8000, c. 8800, d. 8900, e. 9000

SOLUTION:
b