To buy a car, the price will be increased by 6% if you pay in installments. If you pay in one lump sum, you can get a 5% discount. Xiao Wang does the math and finds that paying in installments is 27,500 yuan more than paying in one lump sum. What is the original price of this car? ?
买一辆车，分期付款购买要加价6%，如果一次性付款可打九五折，小王算了算，发现分期付款比一次性付款要多付27500元，这辆车的原价是多少元？
<gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>

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

<gadget id="calculator">(3/50) - (19/20)</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">27_500 / (11/100)</gadget>
<output>250_000</output>

<result>250_000</result>