Kardashian Family -- We Didn't Make a Cent Off the Wedding

The Kardashian family is screaming it from the mountain tops -- trying to convince the world they DID NOT PROFIT from Kim's ill-fated wedding ... but there seems to be a problem with their logic.

Kris Jenner appeared on "Today" this morning ... and said, "It saddens me to think that one of the rumors is that we’ve sold the television rights for millions of dollars, not true. We profited or she profited – absolutely false."

Jenner's statement follows a stern blog post from Kim -- in which she also stated, "There are also reports that I made millions of dollars off of the wedding. These reports are simply not true and it makes me so sad to have to even clarify this."

This morning, Kim appeared on the "Kyle and Jackie O" show in Australia, and once again insisted she didn't marry for cash ... saying, "I would never marry for a TV show, for money, for anything like that, and I think that's really ridiculous that I have to even, you know, kind of defend that but, you know."

Still, Kris admits K&K, "made some money for the pictures that were sold and things like that" ... but says the fam didn't profit, because all of that money went back towards paying for the wedding.

But here's the problem -- most people can't afford a $10 million wedding, and if Kim chose to pump her MASSIVE paychecks back into her wedding, that's her call ... and it STILL COUNTS AS PROFIT. Kim could have had a $6 mil wedding ... and banked $4.

So, we gotta ask ...