What is the average rate of pay in pesos in the Philippines for a
graphic designer (print industry) and working hours / days per week.
Thanks in advance.

Hello, I believe this is as accurate as we can be without performing
the research ourselves. If you check out the following website

http://www.manila-online.net/bles/ows/table3.1.pdf

You can see the wage distributions for the Philippines for industries
that are not agricultural based.

I believe your job would come under 
"Publishing, Printing & Reproduction of Recorded Media"

The average wage that you are likely to find throughout the
Philippines for this job is 6000 - 6999 pesos per month, 18.2% of all
people employed in the industry earn this.
14.2% of all people earn 7000 - 7999 pesos and 11.5% earn 8000 - 8999
pesos per month.

Self-employed designers tend to work longer hours than do employed designers.

While searching the job advertisements I have found that the average
working week seems to be 40 hours I cannot find any information on the
days you would work.

I hope this is enough information for you, if you need any more leave
me a comment and I will do my best to help you.

-- keystroke-ga