A clothing company sold a batch of clothing in the first quarter. The cost of a single piece was 400 yuan, and the sales price was 510 yuan. After the sale, the relevant department of the company went to the market to investigate and found that the market sales were good, so they decided to reduce the cost in the second quarter. At the same time, the selling price is reduced by 4%, and the sales volume is expected to increase by 10%. As a result, after selling several pieces, the total profit obtained increased by 5% compared with the first quarter. How much did the clothing company reduce costs in the second quarter?
某服装公司于一季度销售一批服装，单件的成本为400元，销售价为510元，卖完后公司有关部门去市场作调查，发现市场销售情况良好，决定在第二季度降低成本，同时把售价降低4%，预计销售量将增加10%．结果售了若干件后，获得的总利润比第一季度增加了5%．问服装公司第二季度将成本降低了多少元？
<gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>

<gadget id="calculator">1 - (1/25)</gadget>
<output>24/25 = around 0.96</output>

<gadget id="calculator">510 * (24/25)</gadget>
<output>2_448/5 = around 489.6</output>

<gadget id="calculator">510 - 400</gadget>
<output>110</output>

<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>

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

<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>

<gadget id="calculator">(21/20) / (11/10)</gadget>
<output>21/22 = around 0.954545</output>

<gadget id="calculator">110 * (21/22)</gadget>
<output>105</output>

<gadget id="calculator">(2_448/5) - 105</gadget>
<output>1_923/5 = around 384.6</output>

<gadget id="calculator">400 - (1_923/5)</gadget>
<output>77/5 = around 15.4</output>

<result>77/5 = around 15.4</result>