Xiaoming’s family is going to buy a new energy-saving and environmentally friendly car. According to experts, the installment payment will increase the price by 9%. Pay 14,000 yuan, please help me figure out how much the price of this car is?
小明家准备买一辆节能环保新型小汽车，据专家介绍分期付款购买要多加价9%，如果一次性付款购买可以按九五折优惠，小红爸爸算了算发现分期付款比一次性付款多付14000元，请你帮忙算一算这种汽车售价是多少元？
<gadget id="calculator">9 / 100</gadget>
<output>9/100 = around 0.09</output>

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

<gadget id="calculator">(9/100) - (19/20)</gadget>
<output>-43/50 = around -0.86</output>

<gadget id="calculator">1 + (-43/50)</gadget>
<output>7/50 = around 0.14</output>

<gadget id="calculator">14_000 / (7/50)</gadget>
<output>100_000</output>

<result>100_000</result>