Does the blog owner of "abc blog website" know you're planning to pass off "second hand" content on them? Or do they think they're getting a newly written article?
Because if they're OK with hosting duplicate content that's already been published elsewhere, I'd have to question whether a guest post on that blog is going to be worth all that much to start with. If they're willing to accept duplicate content posts from you, they're probably willing to do the same for others -- probably already have accepted duplicate content from others -- and as such may not be all that highly regarded by the search engines as a source of authoritative links/content in the first place.
If, on the other hand, they don't know you're submitting a duplicate content post because you haven't told them, you might want to check with them first to make sure that's acceptable. Because if they're aware at all of Google's Penguin update, they may not be too happy with your idea.
Guest posting is a good way to get legitimate links. But legitimate links are not cheap, easy links. They are links you earn through offering something worthwhile. If you're going after links by handing out the identical article to multiple sites, you're doing the whole guest posting thing wrong, IMO.
Write unique content for each blog, each guest post. Is it more work? Worthwhile things usually are.