A 36-year-old District man, indicted three weeks ago on charges of killing an Alexandria businessman in a 1981 murder-for-hire scheme, surrendered to Alexandria police yesterday.

Charles E. Joseph, of the 4200 block of 14th Street NW, is charged in the Nov. 27, 1981 slaying of William Benson Young, 54, a vice president of Suburban Electric Co. Police said Young was shot in the chest in his firm's office at 4114 Wheeler Ave.

Investigator Derrill Scott said Joseph walked into police headquarters about 10 a.m. yesterday. Joseph, who is charged with two counts of murder, three counts of robbery and three firearms violations, was held in the Alexandria jail on the $10,000 bond.

Commonwealth's Attorney John Kloch said a trial date will be set Thursday.

Joseph's attorney, John Donelan, said he had been in touch with his client since Joseph and Thomas Ebron were indicted Oct. 1.

Ebron, 25, is serving a sentence at the District's Lorton Reformatory for an unrelated armed robbery.

Donelan said he had arranged for Joseph to turn himself last Monday, but that Joseph had suffered an inflammation of the pancreas and was admitted to the Veteran's Administration Hospital in Washington. A hospital spokesman said Joseph was released Friday.

Kloch said Ebron, who is accused of being the trigger man, is in the process of being transferred from Lorton.

His trial date is still uncertain, he said.

Police and prosecuters would not say who they believe paid to have the killing carried out.