I would totally drop the Prüfung part in English.
I don't know who your target audience is, but please note that in North America, unless things have really changed, there is no "one" Bachelor examination. It consists of various classes, examinations and presentations, etc., weighted in varying degrees for marks.
Please also see: certificate vs. diploma vs. degree
[Name] successfully completed his/her Bachelor's Degree in Business Administration (BBA).
his/her marks were/are as follows: .... (list of the final year's marks or possibly transcripts - the official university/college registered marks)