A clothing store re-prices a jacket due to changing seasons. First, it is priced at a 20% interest rate, and then sold at a 25% discount. The result is a loss of 50 yuan. How much is the cost of this jacket?
某服装店因换季重新对一件上衣定价，先按20%的利率定价，然后按75折出售，结果亏50元，这件上衣的成本是多少元？
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">(6/5) * (3/4)</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">1 - (9/10)</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">50 / (1/10)</gadget>
<output>500</output>

<result>500</result>