A commodity can be sold at a price of 65 yuan for a profit. If the price is discounted by 20, selling 10 is the same as selling 16 at a price of 45 yuan. How much was the original price of each item?
一种商品按定价出售一个可得利润65元，如果按定价打八折，出售10个与按定价减价45元出售16个所获得利润一样．这种商品原来每个定价是多少元？
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">65 * (4/5) * 10</gadget>
<output>520</output>

<gadget id="calculator">45 * 16</gadget>
<output>720</output>

<gadget id="calculator">65 * 16</gadget>
<output>1_040</output>

<gadget id="calculator">720 - 1_040</gadget>
<output>-320</output>

<gadget id="calculator">520 + (-320)</gadget>
<output>200</output>

<gadget id="calculator">(4/5) * 10</gadget>
<output>8</output>

<gadget id="calculator">10 - 8</gadget>
<output>2</output>

<gadget id="calculator">200 / 2</gadget>
<output>100</output>

<gadget id="calculator">100 + 65</gadget>
<output>165</output>

<result>165</result>