While I am willing to take a long shot when I have optics on a flat-shooting rifle, I am much more conservative with irons.
I only use aperture sights on two rifles, and neither is considered a long range wonder.
The 30-30 will stay inside 5" at 200 yards, so that is my practical limit under ideal conditions.
The 38-55, is quite similar, and slightly more accurate, but has a bit more drop at 200. still will not take shots out farther than 200 with it.
Offhand, that range is somewhat shorter. [c.125 yds]
Regards, Eagleye.