A kind of TV is engaged in sales promotion activities. If you discount 10% off the list price, you can make a profit of 200 yuan. If you sell it at 20% off the list price, you will lose 75 yuan. How much is the purchase price of this color TV?
一种电视在搞促销活动，若按标价打九折可赚利200元，若按标价打八折出售则亏损75元，这种彩电进价多少元？
<gadget id="calculator">200 + 75</gadget>
<output>275</output>

<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>

<gadget id="calculator">(9/10) - (4/5)</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">275 / (1/10)</gadget>
<output>2_750</output>

<gadget id="calculator">2_750 * (4/5)</gadget>
<output>2_200</output>

<gadget id="calculator">2_200 + 75</gadget>
<output>2_275</output>

<result>2_275</result>