How much will people buy a broken iphone 4s?

I got a manufacturer unlocked iphone 4s 16gb about a year ago for $750. Its in excellent condition 9.9/10, but the only thing is the battery heats up and needs to be changed or its not going to work.
I was hoping to sell it, but I don't know how much its worth.

Added (1). The phones works but It heats up really hot.

$200-$225 tops

If people are desperate and don't want a contract iphone than they will prob pay 200-300

$250