product is priced at 20% profit, and then sold at a 8.2% discount, with a total profit of 70 yuan. How much is the cost of the product?
某商品按20%利润定价，然后8.8折售出，共获得了70元利润，问商品的成本是多少元？
<gadget id="calculator">88 / 100</gadget>
<output>22/25 = around 0.88</output>

<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">(1/5) * (22/25)</gadget>
<output>22/125 = around 0.176</output>

<gadget id="calculator">(22/125) - 1</gadget>
<output>-103/125 = around -0.824</output>

<gadget id="calculator">(22/25) + (-103/125)</gadget>
<output>7/125 = around 0.056</output>

<gadget id="calculator">70 / (7/125)</gadget>
<output>1_250</output>

<result>1_250</result>