A certain product is marked up after the purchase price is increased by 40%, and sold at a 20% discount. As a result, each product can still make a profit of 15 yuan, so what is the purchase price of each product?
某种商品按进价提高40%后标价，又以八折优惠售出，结果每件商品仍可获利15元，那么该商品每件的进价是多少？
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>

<gadget id="calculator">(4/5) * (2/5)</gadget>
<output>8/25 = around 0.32</output>

<gadget id="calculator">(8/25) - 1</gadget>
<output>-17/25 = around -0.68</output>

<gadget id="calculator">(4/5) + (-17/25)</gadget>
<output>3/25 = around 0.12</output>

<gadget id="calculator">15 / (3/25)</gadget>
<output>125</output>

<result>125</result>