Apple Charging MagSafe 2 cable not working?

My MacBook charger won't magnetise properly anymore. I took a look at the ports and one of the little gold things are burnt, and the same one on my MacBook. I tested my old charging cable that broke and it still magnetises so it isn't specifically the Mac book. Is there any way I can fix this? Or find someone to replace the cable with my older, perfectly fine cable? I'm a student so I really need my laptop.