Iphone turns off when taken of the charger even though it is 100% charged?

Hi, I have the iphone 4s which is less than a year old. My problem only started today and i don't know what's wrong.

My iphone only turns on when the charger is plugged in. It shows 100% battery but still turns off. I have tried the hold the home button while turning on but still nothing happens. Please tell me what's wrong? And how to fix it?

10 POINTS BEST ANSWER

p.s don't mind my spelling and punctuation xD

Bad battery

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