A boy bought a baseball and a bat, paying $1.25$ dollars for both items. If the ball cost $25$ cents more than the bat, how much did the ball cost? 
选项为:A:$1$ dollar  B:$0.75$ dollars  C:$0.65$ dollars  D:$0.5$ dollars  E:$0.45$ dollars  请回答其中一个选项.