My Home Theatre Setup

So, i'm needing to buy a low-end entry level video card. Should I get an R7 240, or a GT 730?
I'm not looking to game, but I still need something pretty balanced between power and profile (And/or power consumption.)
Thing is, the only reason I would have to use an R7 240 is if I have an AMD A8 or A10 APU (Which I do, in this case, I have an A10.) and want the extra performance with a Dual-Graphics option, which seem to show decent FPS increase (Looking at benchmarks, here. This system will have only one purpose, and that's running my home theatre) but the GT 730 gets higher benchmarks anyway, without Dual-Graphics or boosting of any kind.
So, I'm torn on this, and I'm asking you to make the decision for me.
Thanks in advance.
-Drago

You should describe your Home Theater system and the software you are running to help us figure out the best graphics card for you.
Will you be using a media center like Kodi or JRiver Media Center? D
o you plan to use a high quality video renderer like madVR? http://forum.doom9.org/showthread.php?t=146228
Do you send the computer's output to an AVR via HDMI?
Will you be viewing any 4K material?

At a minimum I would get an NVidia GTX750Ti or Radeon R7 265.

The display will be a projector, so no 4K.
I'll be using the normal Windows Media Centre.
Was not aware I needed a renderer for sending bluetooth to my PC.
Via HDMI to projector