Two batches of fruits were bought into Longlong’s mother’s store, both of which were sold for 120 yuan. The mother said: “The first batch of fruits is selling well and sold at a price 20% higher than the cost price. The second batch of fruits is unsalable. The price was reduced (1/5) to sell, and finally the sale of these two batches of fruits did not lose money." Is Longlong's mother right? Please explain by calculation.
龙龙妈妈的商店里进了两批水果，都卖的120元，妈妈说："第一批水果热销，以比成本价高20%卖出，第二批水果滞销，在成本价基础上降价(1/5)卖出，总算是这两批水果的买卖没有赔钱．"龙龙妈妈说得对吗？请你通过计算说明．
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">120 / (4/5)</gadget>
<output>150</output>

<gadget id="calculator">150 - 120</gadget>
<output>30</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">120 / (6/5)</gadget>
<output>100</output>

<gadget id="calculator">120 - 100</gadget>
<output>20</output>

<gadget id="calculator">30 - 20</gadget>
<output>10</output>

<result>10</result>