You're thinking in the wrong units. You're thinking in inches when you should be thinking in angles, or, more correctly, minutes of angle.
A minute of angle is 1/60th of a degree. If you draw a triangle between your point of aim and point of impact, and it has a angle of one minute of angle (MOA), the distance between point of impact and point of aim will be about 1" (It's not exactly 1", but pretty close). This is very convenient, and you can remember 1 MOA = 1" per 100 yards. We use MOA because an angle of 1 degree would produce a different between point of aim and point of impact of around 5 feet.
So, at 100 yards one MOA (minute of angle) gives a distance of about 1". At 200 yards one MOA is about 2". So in your rifle's theoretical case: A 100 yard zero produces a shot two MOA low at 200 yards, and a 200 yard zero produces a shot two MOA high at 100 yards. Either way it's 2 MOA.
By the way, you did know that your rifle is has two "zeroes", right?
The bullet begins to slow down and drop as soon as it leaves the barrel. Therefore, if the sights are horizontal, you have to point the muzzle upward to get the bullet to intersect the sight line. This means that a rifle is always zeroed in two places. The first, or near zero, is where the bullet first crosses the line of sight on the way up. Then the bullet reaches the top of its arc at a point called the maximum ordinate, and starts to fall back to cross the line of sight again at the far zero.