If a commodity is sold at the fixed price, the profit can be 96 yuan. If it is sold at 80% of the fixed price, the loss will be 83.2 yuan. How much is the purchase price of this product.
某种商品按定价卖出可得利润96元，如按定价的80%出售，则亏损83.2元．该商品购入价是多少元．
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">96 * (4/5)</gadget>
<output>384/5 = around 76.8</output>

<gadget id="calculator">(384/5) + 83.2</gadget>
<output>160</output>

<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">160 / (1/5)</gadget>
<output>800</output>

<result>800</result>