Aunt Li is going to buy a house. If she pays in installments, she will pay 10% more, and if she pays in cash, she can get a 5% discount. Aunt Li has calculated that the price difference between the two payment methods is 15,000 yuan. How much is the original price of this house?
李阿姨准备购买一套住房，如果分期付款要多付10%，如果用现金付款可以优惠5%，李阿姨计算了一下，两种付款方式的差价是15000元．这套住房原价是多少元？
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

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

<gadget id="calculator">(1/10) + (1/20)</gadget>
<output>3/20 = around 0.15</output>

<gadget id="calculator">15_000 / (3/20)</gadget>
<output>100_000</output>

<result>100_000</result>