All appeals and applications made to the Board of Appeals shall be in writing, on forms prescribed by said Board, and shall be accompanied by a fee of not less than the actual and necessary costs of advertising and holding a public hearing. The Board of Appeals may, in its discretion, return to the applicant part or all of the fee paid in the event that the appeal, under § 150-26A, Interpretation, is partially or wholly successful. The fee filed in connection with applications under § 150-26B, Variances, shall not be returnable regardless of disposition of the case by the Board.