A black surface is absorbing more radiation. A white surface is reflecting
more radiation. If the black furniture is in the sun, it will be warmer.
The white furniture will reflect solar gain. However, most of it will
reflect it to somewhere else in the room. Some sunlight will be reflected
out of the room, so the white furniture room might be slightly cooler. If
it's summer on a sunny day, would you rather sit in a car with all black
interior or a car with all white interior. The car with the black interior
would be noticeably hotter, but much of the inside is black. It depends on
how much black surface there is and if the sun is hitting it. The black
surface may be absorbing over 95% while the white surface might only be
absorbing 20-30% depending on the mix of white. Flooring receives a lot of
sunlight, so if it's black they floor will be noticeably warmer. If it's
white, then it will reflect more. It might go to another surface which
might warm up instead. Over all, if a room was almost all white, a
significant amount will reflect out of the room and it will be cooler. If
you want one spot to be warmer, then color it dark. There will be a
difference though not on a cloudy day or at night, only when significant
solar gain is present. Also if the window area is small, then it won't be
much different. If it's winter or cloudy, it might not be as much.