For printing (e.g. a thesis), it might be cheaper to print some pages in black and white instead of colour. Printers’ web sites often ask you to put in the number of colour pages. To avoid counting by hand you can use ghostscript, which should be installed on all normal desktop Linux systems.

The command

gs -q  -o - -sDEVICE=inkcov YOURPDF.pdf

will output four numbers for every page: percentage of cyan, magenta, yellow, and black on the page. The -q argument suppresses some additional output (including the page numbers), so leave it out if you want. The -o - simply tells ghostscript to output the information to the screen. Replace the second dash by a filename if you want the output to be written to a file. The inkcov device calculates the colour percentages and writes the output, see the ghostscript documentation for more details.

You can now count pages without colour using

gs -q  -o - -sDEVICE=inkcov YOURPDF.pdf \
   | grep '^ 0.00000  0.00000  0.00000' \
   | wc -l

In order to count the colour pages, use

gs -q  -o - -sDEVICE=inkcov YOURPDF.pdf \
   | grep -v '^ 0.00000  0.00000  0.00000' \
   | wc -l

I found this trick on tex.stackexchange.com and wrote it down here for easy reference.