Well Lynny, I did a test with a 100 kb Jpeg, opened it and saved it as test1.jpg, with a quality of 60. Then I closed all open files.
Then I opened test1.pg, flipped it and saved it as test2.jpg, with a quality of 60.
Then I opened test1.jpg, rotated it 90 degrees and saved it as test3.jpg, with a quality of 60.
Final result: all files have the same size.
I also did a test with a PSD file: after I rotated it 90 degrees, the files size was bigger, after rotating it back 90 degrees, I had the same size like in the beginning.
I don't understand what you mean by Saved As... with setting 12 [confused]
I don't have that option in PS7, but I do have an option to change the quality of JPEG between 0-100 when I go to Save for Web.... A quality of 12 would be a rather bad quality (!), so you must have meant something else.
Also, don't forget, that it all depends on the quality this JPEG file was originally saved with. If it was saved with 60 and you save it with 80, then the size will grow, if you save it with 50, it will be smaller.
Important question is where you checked your file sizes. In my test I checked the size in explorer, not in Photoshop.