MagSafe Charger not working My MagSafe adapter stopped working 10 days ago, so I bought a replacement wire and replaced the original with this third-party wire. It worked fine until this morning.
It magically stopped charging!
So, I used one of those testers for current (This might've been a mistake) to check whether the charger was actually sending current or not.

On touching the tester to the L-Shaped head, it sparked and then there was no current!

I didn't connect it back to the MacBook since I'm afraid it might burn the socket or something which would ultimately cost me to change the entire Motherboard I believe as they are fitted into the PCB. (I'm not very educated on this stuff)

Should I try connecting it back to the MacBook? 
Should I buy the original adapter from Apple?

This is what I mean by L-Shaped(60W): 



This is the tester I'm talking about:
Have you tried resetting your SMC? Are you positive the power cord is working? Try different plugs, different laptops, different power cords. Test this thoroughly as you don’t want to go through the rest of this answer just to find out it was a bad cord/outlet. If nothing in the above works, keep reading.

Based on your symptoms, and assuming the second power adapter is functional, it sounds too me like a bad MagSafe DC-In board. This is the board that collects the power from the MagSafe cable and transfers it to the battery. I’d suggest 1) running Apple Hardware Test with the adapter plugged in to test this. If the power test comes back faulty, and you’re reasonably sure that the cable is working, the MagSafe board is your most likely problem. If you feel comfortable with DIY repairs on your laptop, check out this iFixit page where you can find the replacement part for ~$25 USD. If you don’t feel comfortable with this repair, take your computer in to an Apple Authorized Service Provider to get a quote for the repair. Good luck!

Please don’t hesitate to add comments/edits if you think this answer is wrong, incomplete or needs clarification.