A lot depends on the make and model of the tablet that you are using. Yes, you got it right! It may vary as per the manufacturer, the make, and the model too as the solution to this specific issue cannot be uniform.  During my visit to a tablet repair shop in Montclair, I observed that a lot of the charging ports are micro-USB and soldered onto the logic board. A repair of the port would necessitate you to initially disassemble your gadget, and most probably de-solder the earlier port and replace it with a new one. At times, it is only the solder that has become loose and could be fixable by just re-soldering. If it is a standard connector, replacement ports are usually available at places such as Mouser.com or Digikey.com. 

Else you may take the tablet apart and strip the board down to the Motherboard. If you have some soldering experience, take the soldering iron, and go online to purchase a “flux Soldering pen”. They are usually priced at $3.99 on eBay. Moreover, you can also get some DE soldering braid to replace the dc jack. It may happen that you have a weak joint or a bent pin. 

Remember that if the device is under a year old, then you don’t have to wait as there is a free warranty. If it is broken, then you don’t need a warranty in the store. Just give a buzz to the manufacturer. Inform them that it is broken and they will hopefully replace it.  

The charge port is damaged or something is blocking the connection. Sometimes, you just may need to have a technician carefully clean your charging port. Other times a full repair or replacement may be needed.

Regards,

Will