Coming from a print background I can tell you that the CMYK
for a rich black is
C=75 M=68 Y=67 K=89
This will give you the best black. If you are sending to an RGB
printer like any desktop
(yes they print CMYK
and have all those cool mid tone cartridges but they take RGB
images and have there own internal rip that converts it)
I would use R=0 G=0 B=0
If you use process black or C=100 M=100 Y=100 K=100
you will end up with a muddy brown on a CMYK
printer.
Also on grey the printer will always use all of the colors to print grey, it will never use only black ink. This is to retain detail in the grey areas. I would make sure that you are adding a little more cyan or magenta to make the greys cooler or warmer depending on the look you are after.