A product is sold at a reduced price according to the season. If the price is reduced by 10% according to the current price, a profit of 32 yuan can still be made; if the price is reduced by 20%, a loss of 48 yuan will be incurred. How much is the purchase price of this item.
一件商品随季节变化降价出售．如果按现价降价10%，仍可获利32元；如果降价20%就要亏损48元．这件商品的进价为多少元．
<gadget id="calculator">32 + 48</gadget>
<output>80</output>

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

<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">(1/5) - (1/10) - 1</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">80 / (1/10)</gadget>
<output>800</output>

<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">800 * (9/10)</gadget>
<output>720</output>

<gadget id="calculator">720 - 32</gadget>
<output>688</output>

<result>688</result>