How Long will Grant Shapps Last?

Grant Shapps has been forced to admit he carried on his dubious web business whilst an MP.  This despite having forced a constituent to post an apology for suggesting that he did.  Although he does not mention it on his Wikipedia entry, I believe he once stood for Brent Council in the then St Andrews ward.  I don't see how he can survive this latest scrape.  As Chair of the Conservative Party he is supposed to sell their message, and I would have thought his credibility is fatally damaged.  I wonder if he will still be Chair by the end of the day?