For a commodity, store A’s purchase price is 10% cheaper than store B’s. Store A’s price is based on 20% of the profit, and store B’s price is based on 15% of the profit. As a result, the price of store A is still 11.2 yuan cheaper than store B’s. How much is the purchase price of the store?
一种商品，甲店的进价比乙店便宜10%，甲店按20%的利润定价，乙店按15%的利润定价，结果甲店的售价仍比乙店便宜11.2元，求甲店的进价是多少元？
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

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

<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>

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

<gadget id="calculator">(1/10) * (1/5)</gadget>
<output>1/50 = around 0.02</output>

<gadget id="calculator">(1/50) - 1 - (1/5)</gadget>
<output>-59/50 = around -1.18</output>

<gadget id="calculator">1 + (3/20) + (1/10) + (-59/50)</gadget>
<output>7/100 = around 0.07</output>

<gadget id="calculator">11.2 / (7/100)</gadget>
<output>160</output>

<gadget id="calculator">(9/10) * 160</gadget>
<output>144</output>

<result>144</result>