A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?	Options.
A) $215,000 B) $365,000 C) $115,000 D) $240,000 E) $160,000
Lets start with looking at the options. All options are above 50,000 -&gt; Thus the total commission will be the sum of 15% of 50,000 and 10% of the rest of the amount.   Let's start with calculating 15% of 50,000 = 7,500.   So out of the total commission of 24000, 7500 was earned on the first 50,000. Commission remaining = 24,000 - 7500 = 16,500   16,500 is actually the 10% of the rest of the amount =&gt; 165,000   So total sales = 50,000 + 165,000 = 215,000   $215,000NSWER:$215,000
<result>A</result>
A departmental store charges the commission of 15 percent on the first sale of items worth $50,000 and then an additional 10 percent on any sale price that exceeds the initial $50,000. If the department store earned $24,000 in commissions for the sale of a series of diamonds, what was the sale price of the diamond set?