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If the first battery was charging but said 3 %... then perhaps it wasn't really charging.
Oh, yes, batteries do fail.
But the new one?
Try powering On the laptop with NO battery in it, neither old nor new. Just the power adapter or AC Adapter or power cord. Does it turn On even for a moment ?
- if it does not, you have a defective AC Adapter/charger, most likely.
- if it does... something else is wrong.
Check the AC Adapter for signs of repeated bending of the cords, or fraying, stress, looseness in its socket on the laptop.
Also think back as to whether the charger/AC Adapter cord has ever been tripped over, or otherwise stressed.
And also think: are you the type who rolls or coils up his AC Adapter cords, tightly, repeatedly, for neatness sake?