A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price w of the machine? Choose the correct answer:
A) 81
B) 100
C) 120
D) 135
E) 160
Since the wholesale price was $90 and the profit was 20% of the wholesale price ([.2][90] = $18), the retail price would have to be above $108, but not that much greater than that.   Let's start by TESTing Answer C: $120....   If.....   Retail Price w= $120   10% discount off = $120 - (.1)(120) = 120 - 12= 
<gadget id="calculator">120 - 12</gadget>
<output>108</output>
108   20% profit on wholesale price= 90 + (.2)(90) = 90 + 18= 
<gadget id="calculator">90 + 18</gadget>
<output>108</output>
108   These two numbers MAT120H, so this MUST be the answer!   Final Answer:   [Reveal]Spoiler:   120
<result>C</result>
A retailer bought a machine at a wholesale price of $90 and later on sold it after a 10% discount of the retail price. If the retailer made a profit equivalent to 20% of the whole price, what is the retail price w of the machine?