An auction house charges a commission of 20% 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?  Choose the correct choice from the following choices
A) $115,000  B) $190,000  C) $215,000  D) $240,000  E) $365,000
Say the price of the house was $x, then 0.2*50,000+0.1*(x-50,000)=24,000 --&gt; x=$190,000 (20% of $50,000 plus 10% of the amount in excess of $50,000, which is x-50,000, should equal to total commission of $24,000).   Answer: $190,000.
<result>B</result>
An auction house charges a commission of 20% 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?