Dad wants to buy a car, and he learned that the installment payment will increase the price by 8%. If you buy it all at once, you can enjoy a "50% discount" discount. Dad did the math and found that the installment payment is 13,000 yuan more than the one-time purchase. Please calculate the original price of the car based on the known information.
爸爸要买一辆汽车，了解到分期付款购买要加价8%，如果一次性购买则可享受"九五折"优惠．爸爸算了一下，发现分期付款要比一次性购买多付13000元，请你根据已知信息计算这辆汽车的原价．
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>

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

<gadget id="calculator">(2/25) - (19/20)</gadget>
<output>-87/100 = around -0.87</output>

<gadget id="calculator">1 + (-87/100)</gadget>
<output>13/100 = around 0.13</output>

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

<result>100_000</result>