Is it "that's the same story, know?" or "that's the same story, no?"
Solution 1:
The answer is no?, not know?. As mentioned in Justin Morgan's answer, no? is used instead of isn't it? which one would expect as a tag on the end of this sentence to make it a question (due to the negative form of the be verb which has been shortened in this sentence here: that's).
Solution 2:
Ending a sentence in , no? is the same thing as , isn't it? or , don't you think? But from your examples, neither one is correct because you are missing a verb.
That is also the same story, no?