Alright so I guess here is an end to the battery problem faced by me and/or you.
Today I discharged my battery to 0 and then charged it to 100%( with a non- Motorola charger having a output of 1A.) You can call it a turbo charger or whatever, but it really does charge up the device quickly.
After the battery got charged to 100%, I disabled the option of battery saver to turn on automatically and set it to "never" and Aldo disabled the option to choose the per-app profiles ( just to give a try). And see what I got.

So maybe u can give it a try too.
If that doesn't solve ur problem, do tell me and I'll replace the battery today and will post the results afterwards.