On May 27, 2015, the 13th Central China International Auto Show was officially opened in Wuhan International Expo Center. Ms. Yang was about to buy a car. She found that the purchase price by installments would increase by 7%. ． After doing the math, I found that the installment payment was 9,600 yuan more than the cash payment. Do you know how much the original price of this car is?
2015年5月27日第十三届华中国际汽车展在武汉国际博览中心正式开幕，杨老师准备买一辆汽车，她发现分期付款购买要加价7%，如果用现金买可按九五折付款．算一算，发现分期付款比现金付款多付了9600元，你知道这辆汽车原价是多少元？
<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">9_600 / (3/25)</gadget>
<output>80_000</output>

<result>80_000</result>