certain bookstore launched a discounted book sale activity, where a one-time book purchase of no more than 200 yuan was given a 10% discount; the portion exceeding 200 yuan was calculated as a 20% discount. A student paid 72 yuan for the first book purchase, and enjoyed a 20% discount for the second time he bought the book. He checked the price of the book he bought and found that he saved a total of 34 yuan for the two times. Then the student actually paid for the second book purchase how much?
某书城开展优惠售书活动，凡一次性购书不超过200元的一律9折优惠；超过200元的部分按8折算．某学生第一次去购书付款72元，第二次又去购书享受了八折优惠，他查看了所买书的定价，发现两次共节省了34元钱，那么该学生第二次购书实际付款多少元？
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>

<gadget id="calculator">72 / (9/10)</gadget>
<output>80</output>

<gadget id="calculator">80 - 72</gadget>
<output>8</output>

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

<gadget id="calculator">200 * (1/10)</gadget>
<output>20</output>

<gadget id="calculator">34 - 8 - 20</gadget>
<output>6</output>

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

<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">6 / (1/5)</gadget>
<output>30</output>

<gadget id="calculator">30 - 6</gadget>
<output>24</output>

<gadget id="calculator">200 * (9/10)</gadget>
<output>180</output>

<gadget id="calculator">24 + 180</gadget>
<output>204</output>

<result>204</result>