Subject: mathqa
Question: an auction house charges a commission of 17 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?
Option: 
A: $ 115,000
B: $ 160,000
C: $ 205,000
D: $ 365,000
Answer: C