For a car, there will be an additional 7% fee for the installment purchase, and a 5% discount for the one-time payment. Uncle Zhao did the math and found that the installment payment was 14,400 yuan more than the one-time payment. Do you know how much this car originally cost?
一辆汽车，分期付款购买会增加7%的费用，一次性付款则有九五折优惠．赵叔叔算了算，发现分期付款比一次性付款要多付14400元．你知道这辆汽车原价是多少钱吗？
<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">14_400 / (3/25)</gadget>
<output>120_000</output>

<result>120_000</result>