My Galaxy S4 battery drops so fast after unplugging from the charger

So I have Galaxy S4, I have been using it little more than a year.

I charge Galaxy S4 and it will show it is at 100% and then after I unplug from the charger and use it for little while, the battery level will drop drastically to somewhere around 60% range. After that, battery life seems normal around that range.

Is this problem with the device? or do I need to buy new battery? Please help! Thanks a lot

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