I think first of all we need to know your location.
I mean in the Netherlands I just bought for my mother 7 inch tablet Pro-line 2 pc738, dual cortex A9 1.6ghz, Quad core mali 400, 4gb internal, Android 4.1 for €89.90
Nothing "good" in that price range. To get a decent tablet for even close to $200 you are looking at the lower end, 7" screens. I like the Nook Tablet with an Android bootable card. You can get a used Nook Tablet for about $120 if you look around. The cheap ones will have not too good screens with bad touch response. The Google tablet is nice also.