Li Ming wants to buy a car. If he pays in installments, he needs to add 7%. If he pays in cash, he can enjoy a 5% discount. Li Ming did the calculations and found that paying in installments would cost 9,000 yuan more than buying in cash. How much is the original price of this car?
李明要买一辆汽车，如果分期付款要加7%，如果用现金购买可按九五折优惠．李明算了算，发现分期付款要比现金购买多付9000元．这辆汽车原价多少元？
<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_000 / (3/25)</gadget>
<output>75_000</output>

<result>75_000</result>