Power adapter led turns off when I insert it into laptop.

Hi, please help me , I appreciate your time.

Yesterday night, the main power supply went off when I was working on my laptop and the inverter was off. I asked my family member to on the inverter, once it was pushed on, I heard some shock sound, like "thuppp", near laptop where adapter pin is inserted, and laptop suddenly shutted down illegaly. I could see there was no green light in front of laptop, which shows input power supply is not connected.

When I looked at adapter, the green light didn't glow, as I removed adapter pin from laptop, the same led glowed green. So, thats what happened. And then, when I removed pin from laptop and hit on button ,laptop worked fine, so I'm stuck at this power supply. Any idea you have or a little knowledge, please help.