Exhibit (h)(85)


              FORM OF ADMINISTRATIVE SERVICES AGREEMENT SUPPLEMENT
                               The RBB Fund, Inc.

                              Robeco WPG Tudor Fund


                  This supplemental agreement is entered into this ____ day of
__________ 2005, by and between THE RBB FUND, INC. (the "Company") and PFPC
DISTRIBUTORS, INC. ("PFPC Distributors").

                  The Company is a corporation organized under the laws of the
State of Maryland and is an open-end management investment company. The Company
and PFPC Distributors have entered into a Administrative Services Agreement,
dated as of _________, 2005 (as from time to time amended and supplemented, the
"Administrative Services Agreement"), pursuant to which PFPC Distributors has
undertaken to provide certain administrative services to certain of the
Company's portfolios and classes, as more fully set forth therein.

                  The Company agrees with PFPC Distributors as follows:

                  1. ADOPTION OF ADMINISTRATIVE SERVICES AGREEMENT. The
Administrative Services Agreement is hereby adopted for the Institutional Class
of Common Stock of the Robeco WPG Tudor Fund of the Company.

                  2. PAYMENT OF FEES. For all services to be rendered,
facilities furnished and expenses paid or assumed by PFPC Distributors as
provided in the Administrative Services Agreement and herein, the Company shall
pay PFPC Distributors a monthly fee, as well as reimburse out-of-pocket
expenses, on the first business day of each month, as provided in the
Administrative Services Agreement.

                  3. COUNTERPARTS. This Agreement may be executed in two or more
counterparts, each of which shall be deemed an original, but all of which
together shall constitute one and the same instrument.

                  IN WITNESS WHEREOF, the undersigned have entered into this
Agreement, intending to be legally bound hereby, as of the date and year first
above written.

THE RBB FUND, INC.                          PFPC DISTRIBUTORS, INC.


By: ______________________                  By:

         Edward J. Roach
         President