For a car, the installment payment needs to increase the price by 7%, and the cash purchase is 5% off. After calculation, it is found that the installment payment is 24,000 yuan more than the cash. What is the original price of this car?
一辆汽车，分期付款要加价7%，现金购买则打九五折，计算后发现分期付款比现金多2.4万元，这辆车原价是多少？
<gadget id="calculator">7 / 100</gadget>
<output>7/100 = around 0.07</output>

<gadget id="calculator">95 / 100</gadget>
<output>19/20 = around 0.95</output>

<gadget id="calculator">(7/100) - (19/20)</gadget>
<output>-22/25 = around -0.88</output>

<gadget id="calculator">1 + (-22/25)</gadget>
<output>3/25 = around 0.12</output>

<gadget id="calculator">2.4 / (3/25)</gadget>
<output>20</output>

<result>20</result>