A bookstore buys a batch of books at 40% off the original book price, sells them at 20% of the original book price, and then pays tax at 5% of the sales. The actual book payment is 3800 yuan. How much did the bookstore make from selling these books?
某书店以原书定价的六折购进一批书，再加原书定价的二成出售，然后按销售额的5%缴税，实得书款3800元．书店卖这批书赚了多少钱？
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>

<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">3_800 / (19/20) / (6/5)</gadget>
<output>10_000/3 = around 3_333.333333</output>

<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>

<gadget id="calculator">(10_000/3) * (3/5)</gadget>
<output>2_000</output>

<gadget id="calculator">3_800 - 2_000</gadget>
<output>1_800</output>

<result>1_800</result>