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Yeah I am on wifi. But my 4s' battery is not bad average 5hrs usage and 20 hrs standby. When I iMessage battery dropping 2% every five minutes.
 
Wirelessly posted (Mozilla/5.0 (iPhone; CPU iPhone OS 5_0 like Mac OS X) AppleWebKit/534.46 (KHTML, like Gecko) Version/5.1 Mobile/9A334 Safari/7534.48.3)

It's not iMessage that's a push service!
 
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