It’s a trick the mind plays. We know that the answer starts with 200, and that 50/2 is 25, so immedietly the mind goes to 225.
Full disclosure: I thought 225 as well. At least I recognize the mind trick, and am not baffled.
NO mind trick for me-—but then-—I WENT TO A ONE ROOM GRADE SCHOOL
When we homeschooled the kids, they didn't get calculators. They learned long division too. Never could get my daughter to memorize multiplication tables though and I only asked for up to 10 x 10. I know them up to 12 x 12 because I'm blue collar and use inches/feet and knowing how many inches are in 1 - 12 feet is handy. I also know my decimal equivalents by heart down to the 16th of an inch and can figure out/remember the 32nds from there.
Daughter always kept one of these handy.

I had her make the table but with 0 in the bottom left corner, AutoCAD style. Tried flash cards and was hoping having her make and reference the table would help her remember but she refused. It was a rebellious thing. Because she knew I wanted her to learn it, she refused. Didn't matter if it was for her own good.
I am glad that someone else was honest about.
It’s not that I couldn’t figure out the answer. It is more that it seemed easy enough at first glance that it activate my analytical brain and instead allowed my instinctive brain to try first.
Same here. Thought 225 then caught myself. It’s sort of the math equivalent of a tongue twister.
I also thought 225 but then i knew it was probably wrong and rethought for a minute and knew it was 275. Your ex0lanation is good.