Hi, I found this researching I hope you serve.
1. Go to Settings> Accounts & sync
2. Click above account and give Google account to delete.
3. Now go to Settings> Applications> (On some devices have to go to Manage Applications)> Then you go to All.
4. Now looking for the "Google Services Framework" application and you hit "Force stop" and then "Clear Data".
5. Then also seeks "Google Play Store" and give a "Force stop" and then "Clear Data".
6. Restart your phone and go to the Google Play Store and re-enter your Google account. It should now work!. -----
7. It is possible that once the user entered each time you try to open Google Play Store is not running and the application is closed (happens very rarely), if so do the following:
8. Go to Settings> Applications> (On some devices have to go to Manage Applications)> Then you go to All. - Search Google Play Store and hit "Uninstall Updates".
9. Now start Google Play Store, you'll see a different design (design is the version you brought your Android default), do not worry about this because the apps are updated itself alone.Once done, and should be able to update all applications.