IPhone won't charge past 1%?

I had full charge this morning and then when I next looked it was at 50% and then 1%. I know iPhone batteries are bad but this?
Anyway I put my phone on to charge but this wasn't working so I turned it off and tried to turn it back on but it won't turn on. If the phone thinks it's only 1% full it wont turn on.

Added (1). I have had the phone for less than a year?

The battery won't hold its charge because it is burnt out.

Buy a new battery.

I had a similar problem with my Macbook Pro a while back. Try buying a new charger for the device and if that fails to solve the problem the fault lies with the phone's battery. If this is the case you will most likely have to send it back to apple or the reseller you purchased it from.

Try to charge the phone turned off. If still the phone remains turned off, it might be an issues with the battery. If you've bought it less than an year, take it to the store, you've warranty left.