<PAGE>
EX-99.B(j)-hiconsnt
INDEPENDENT AUDITORS' CONSENT
We consent to the use in this Post-Effective Amendment No. 31 to Registration
Statement No. 2-63643 on Form N-1A of United High Income Fund, Inc., of our
report dated May 5, 2000, appearing in the Statement of Additional Information,
which is part of such Registration Statement, and to the references to us under
the caption "Financial Highlights" in such Prospectus.
/s/Deloitte & Touche LLP
-----------------------
Deloitte & Touche LLP
Kansas City, Missouri
June 26, 2000