whenever you run a script on your login shell, a new subprocess is spawned and the script execution is done in a subshell.Once the script completes, the subshell exits and you are returned to the login shell.Hence whenever you do a cd through a script,the directory is changed to the path specified by cd, but by the time script finishes you come back to your login shell to the working directory from where you started the script.
The way to overcome this is use,
source yourscript.sh
what source does is it executes the script as TCL script, i.e it has the same effect as when you typed each line on the command line of your login shell and it executed from there. So this way when the script finishes after cd , it stays in that directory.