Supermarket food is cheaper than sitting at a restaurant. For take-out, I don't see why it couldn't be cheaper considering whatever you buy and do at home, the restaurant does at scale.
In that way hiring a cleaner to come clean your house is cheaper than cleaning yourself, because they're professionals and take less time than you would yourself.
But if you don't pay yourself an hourly wage to cook and clean (which is true for most people), then paying someone else to do it will require you to spend more cash.