In this task, you need to answer the given multiple-choice question on the gain. Gain is the value by which to multiply the input. Classify your answers into 'a', 'b', 'c', 'd', and 'e'.

[Q]: Problem: a ladder 14 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 5 feet from the base of the wall . if the top of the ladder slips down 4 feet , how many feet will the bottom of the ladder slip ? 
Options: a ) 4 , b ) 5 , c ) 8 , d ) 10.72 , e ) 15
[A]: d


[Q]: Problem: in a recent election , geoff received 1 percent of the 6,000 votes cast . to win the election , a candidate needed to receive more than x % of the vote . if geoff needed exactly 3,571 more votes to win the election , what is the value of x ? 
Options: a ) 50 , b ) 54 , c ) 56 , d ) 60 , e ) 60.5
[A]: e


[Q]: Problem: a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 16 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ? 
Options: a ) $ 20 , b ) $ 21 , c ) $ 22 , d ) $ 23 , e ) $ 24
[A]:
e