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If No Packets is dropped Then The Condition should be like this :

 Let T be the input rate  , so our formula is  :  Input rate - output rate = Buffer Size     .....(i)

 Since 1 packet remains in the buffer for 12 ms time period.  And Avg length of the packet is 200 B.

 In 12 ms data  buffered is  200*8 bits   .

  So output rate in 1 Sec is (200*8)/12 * 10-3  bits   ...(ii)

Now,   T - output rate  = 256 *8 * 103 bits/sec ...(iii) we get this from (i)  [ as buffer size = 256 KBps = 256 * 8 * 103 bits/sec ]

now put the output rate value of (ii) in (iii)  and we get 

 T = 272.66 bits/Sec

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