Batman: You weigh a little more than 108.
Vicki Vale: Oh, really?
Bruce Wayne: Let me tell you about this guy I know, Jack. Mean kid, bad seed. Hurt people.
The Joker: I like him already! Ha, ha, ha!
Bruce Wayne: You know, the problem was he got sloppy. You know, crazy. He started to lose it. He had a head full of bad wiring, I guess. Couldn't keep it straight up here. He was the kind of guy who couldn't hear the train 'til it was two feet from him. You know what happened to this guy Jack? Well, he made mistakes. Then he had HIS LIGHTS OUT! NOW YOU WANT TO GET NUTS? COME ON! Let's get nuts!
The Joker: Tell me something, my friend. You ever dance with the Devil in the pale moonlight?
Bruce Wayne: What?
The Joker: I always ask that of all my prey. I just like the sound of it!
Alicia: You look fine.
Jack Napier: I didn't ask.
Answer: He could have looked up her address in the phone book. Just before Bruce arrives at Vikki's apartment, Joker asks Bob the Goon for - a phone book. Also he could have been tailing Bruce and found her apartment that way, after all he does show up not long after Bruce does.
Alan Keddie