Thanks Drude, your answer is very helpful. I have closed all running apps. Let's see how Qtel will do the charging now!
The thing that drove me crazy is that, why am I being charged only for the month of June, what about the other months since Feb.? I am 100% sure that I was seeing videos over bbm, I was browsing the net too. Why June only? Though I know that my usage to the net in June is much less than previous months!

Well, there is no point in stopping the push services when I have the 125QR subscription on monthly basis!
My BB is Bold 9780 & I have wireless connection at home. But Qtel is still charging me for DATA ACCESS!

thanks for your help :)