Z10 startup problem

my z10 is brand new just 1 week old. m using original blackberry in-box charger. i was playing game[jetpack joyride] it just got switched off and then i was not able to turn it on so i followed these step-
1 unplug your device
2 remove the battery
3 plug it back (it won't start after the BlackBerry logo you'll have a red battery sign)
4 unplug it
5 reinstall the battery
6 plug it in back.

it worked and my phone got on but then when i disconnected the charger it got switch off and i was not able to turn it on .
now, i have to do the steps mentioned above to turn it on and then every time i unplug the charge it crash .
please help me fix it :|

Sounds like a hardware problem? Is this brand new? Have you tried getting a new battery? Which model is this?

Sounds hardware related. Hopefully you can it replaced if there is a warranty.

I'm z10ing. Yes, I invented a verb.