I would tell that that thing would possibly happen if there is no proper plastic covering for the CD. This is the reason why the CD's are gettig stuck.
When a CD entres, firstly, a ball reader touches the CD and rotates it and then reads the reel carefully. If the reel is not made properly, then it would affect the ball reader as it should and must be read by the ball reader. I would suggest you to check it by buying a new CD reader as they can be bought for 100Rs. In case if the problem isn't solved, go to an ASS
and get the HU checked. Remember, nobody is trustworthy as many indian ASS