My iphone 4 has been plugged in for 6 hours but won't turn on?

I have tried to turn it on but all it shows is the charging symbol. So I know that it registers that it is connected. I have been having problems recently with my battery. For example, I will charge it to a full 100 percent and the battery will either completely die at 0 percent or it will die at about 70-80 percent. Both of these situations happen in about 1 hour then it shows the dead battery symbol. When I plug it in for the second situation it comes back on right away and shows 70-80 percent battery! I will be bringing it to the apple store but I want to see if there are any other home remedies.

Maybe your battery is damaged. Or perhaps that you are not charging your iphone correctly. The only "home" remedy is probably taking the iphone apart and replacing some stuff.