A certain commodity is sold at a fixed price for a profit of 45 yuan. If you sell 8 at a 15% discount, you will get as much profit as if you sell 12 at a discount of 35 yuan each. So how much is the price of this product?
某种商品，按定价卖每个获利45元．如果打八五折卖出8个获得的利润和按每个减价35元卖出12个获得利润一样多．那么该商品定价多少元？
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>

<gadget id="calculator">45 * (17/20) * 8</gadget>
<output>306</output>

<gadget id="calculator">35 * 12</gadget>
<output>420</output>

<gadget id="calculator">45 * 12</gadget>
<output>540</output>

<gadget id="calculator">420 - 540</gadget>
<output>-120</output>

<gadget id="calculator">306 + (-120)</gadget>
<output>186</output>

<gadget id="calculator">(17/20) * 8</gadget>
<output>34/5 = around 6.8</output>

<gadget id="calculator">8 - (34/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">186 / (6/5)</gadget>
<output>155</output>

<gadget id="calculator">155 + 45</gadget>
<output>200</output>

<result>200</result>