Parttime jobs and pension

I do have a suggestion to where you can find out, without messing up your game. Make a copy of your save, and then have your retired sim take a part-time job. If they still get their pension, plus their part-time income, then play the copy, if not you still have an option of going to the other save playing where they still have their retirement pension. I do this quite often when I'm not sure about something, regardless of what it is. :)