Those two convey entirely different implications. Counter-proposal suits your sentence best. It means "return proposal made by one who has rejected a proposal." On a separate note, I suggest cross-purpose instead of counter-purpose.
So as a suggestion:
We were trying to get a 60% of the contract to carry out the project, but the investor rejected it days later. He offered me a 50% counter-proposal contract, which was agreeable for us, and we finally accepted it."