Xiao Ming's father plans to buy a family car. Installment payment will increase the price by 7%, and one-time payment will be 40% off. The installment payment is 9,900 yuan more than the one-time payment. How much is the original price of this car?
小明的爸爸打算买一辆家用轿车．分期付款要加价7%，一次性付款打九六折．分期付款比一次性付款要多9900元，这辆轿车的原价是多少元？
<gadget id="calculator">7 / 100</gadget>
<output>7/100 = around 0.07</output>

<gadget id="calculator">96 / 100</gadget>
<output>24/25 = around 0.96</output>

<gadget id="calculator">(7/100) - (24/25)</gadget>
<output>-89/100 = around -0.89</output>

<gadget id="calculator">1 + (-89/100)</gadget>
<output>11/100 = around 0.11</output>

<gadget id="calculator">9_900 / (11/100)</gadget>
<output>90_000</output>

<result>90_000</result>