The furniture store bought a new batch of sofas, and after adding 50% of the purchase price, they sold them with a "20% discount for big bargains". As a result, each set of sofas made a profit of 1,600 yuan. (20% off is 80% of the original price)
家具店新进一批沙发，按进价的50%加价后，再以"大酬宾八折优惠"售出，结果每套沙发获利1600元，这种沙发每套进价多少元？(八折就是原售价的80%)
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(3/2) * (4/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">(6/5) - 1</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1_600 / (1/5)</gadget>
<output>8_000</output>

<result>8_000</result>