GMAT Sentence Correction (SC) | Re: Christlers, the famous art house in London, owns several

Christlers, the famous art house in London, owns several Hussains of variousperiods
on account of having achieved an iconic status in the English art circle.

(A) on account of having
(B) on account of their having
(C) because they have
(D) because of having
(E) because it has


B is wrong because it's awkward. Just say "on account of their having achieved....".
I think that it would be better to say "on account of their achievment..." or stg. like that.