The price of a radio sold in a store is 100 yuan, and the clerk discounts the price by 10% to give preferential treatment to the students participating in the competition. After the discount, an additional 10% is required as tax. What is the actual amount payable to purchase each radio.
某商店出售的收音机标价100元，店员减价10%优待参加本竞赛的学生，打了折扣后需附加10%作为税金．购买每台收音机实际应付的金额为多少元．
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>

<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>

<gadget id="calculator">100 * (9/10) * (11/10)</gadget>
<output>99</output>

<result>99</result>