Teacher Zhang wants to buy a TV set. If the installment payment is made, the store will increase the price by 5%, while the one-time payment can be sold at 97% of the original price. Teacher Zhang did the math and found that the installment payment was 560 yuan more than the one-time payment. How much is the original price of this TV?
张老师要买一台电视机，如果分期付款商场要加价5%，而一次性付款可按原价的97%成交．张老师算了算，发现分期付款比一次性付款要多付560元．这台电视机原价是多少元？
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>

<gadget id="calculator">97 / 100</gadget>
<output>97/100 = around 0.97</output>

<gadget id="calculator">(1/20) - (97/100)</gadget>
<output>-23/25 = around -0.92</output>

<gadget id="calculator">1 + (-23/25)</gadget>
<output>2/25 = around 0.08</output>

<gadget id="calculator">560 / (2/25)</gadget>
<output>7_000</output>

<result>7_000</result>