First of all original moto g never shipped with a wall charger, it shipped with a usb cable. I'm not sure if new moto g's come with a charger, but regardless, you should ALWAYS charge your moto g with usb cable attached to a pc, NEVER EVER with a wall charger. It will charge at a high voltage, damaging battery or possibly causing 'thermal runaway'. Hence in extreme instance your battery will leak. Moderate instance would be that as soon as battery reaches 100%, after 10 or so mins it will drop to 90%.
Install battery temp monitoring app to see battery temp or use CQATest that comes with moto g. About charger running hot, the op seems to be in india, and it usually happens in hot countries.