Uncle Zhao wants to buy a new BYD M6 car. If you pay in installments, you will have to increase the price by 8%, and if you buy it in cash, you can get a 5% discount. Uncle Zhao did the math, and the installment payment was 11,180 yuan more than the cash purchase. What was the original price of this car?
赵叔叔想购买一辆比亚迪M6新轿车，如果分期付款要加价8%，如果现金购买可以优惠5%．赵叔叔算了算，分期付款比现金购买多付11180元，这辆轿车的原价是多少？
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>

<gadget id="calculator">1 + (2/25)</gadget>
<output>27/25 = around 1.08</output>

<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>

<gadget id="calculator">(27/25) - (19/20)</gadget>
<output>13/100 = around 0.13</output>

<gadget id="calculator">11_180 / (13/100)</gadget>
<output>86_000</output>

<result>86_000</result>