To buy a house, the installment payment will increase the price by 9%. If you buy it in cash, you can enjoy a "five percent discount" discount. Uncle Wang did some calculations and found that paying by installments would cost 42,000 yuan more than buying in cash. How much is the original price of this house?
买一幢房子，分期付款要加价9%，如果改为现金购买可享受"九五折"优惠．王叔叔算了一下，发现分期付款比现金购买要多付42000元，这幢房子原价多少元．
<gadget id="calculator">9 / 100</gadget>
<output>9/100 = around 0.09</output>

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

<gadget id="calculator">(9/100) - (19/20)</gadget>
<output>-43/50 = around -0.86</output>

<gadget id="calculator">1 + (-43/50)</gadget>
<output>7/50 = around 0.14</output>

<gadget id="calculator">42_000 / (7/50)</gadget>
<output>300_000</output>

<result>300_000</result>