RCA Corp. said yesterday that its first-quarter profits fell 47 percent from year-earlier levels as a boost from broadcasting the Super Bowl failed to offset declines in its electronics, satellite communications and auto rental businesses.

RCA said, however, that revenue rose to a record $2.09 billion from $1.97 billion.

Among other reports:

* Goodyear Tire & Rubber Co. and Uniroyal Inc. said their first-quarter profits fell from a year earlier, but both reported higher U.S. sales of auto and truck tires.

* Citicorp and Bankers Trust New York Co., parents of two of the nation's largest banks, said that their earnings rose in the first quarter as interest income from loans outstripped the cost of borrowing by a wider margin than a year ago.

* United Technologies Corp. said its first-quarter profits from operations rose 15 percent from a year earlier as revenue climbed 10 percent.

* Allied Corp. said strong performances in its automotive and chemical businesses as well as from a one-time change in its tax accounting methods helped to boost its first-quarter profits nearly 50 percent above those of a year ago.

RCA's earnings declined to $32.3 million (18 cents a share) from $60.5 million ( 57 cents) in the first three months of 1982.

RCA said that one reason for the decline was that profits in the first quarter of 1982 included one-time-only gains of $38.6 million from the sale of several marginal businesses and the sale of tax benefits by the communications business.

"Except for these non-recurring gains, first-quarter net profit would have been 47 percent above the comparable 1982 period," said RCA Chairman Thornton F. Bradshaw. "Earnings were better than anticipated a few months ago. Goodyear Tire & Rubber Co., the nation's largest tire maker, said first-quarter profits fell 15.5 percent to $38.5 million (52 cents a share) from $45.6 million (63 cent) as sales slipped 4.3 percent to $2.05 billion from $2.18 billion.

Earnings from U.S. operations climbed 27 percent, to $38.3 million, but foreign earnings slumped to $200,000 from $15.4 million, with "the major devaluations of several Latin American currencies and the general weakness of other world currencies against the U.S. dollar" among the factors, Goodyear said. Uniroyal Inc., the third-ranked tire maker, said first-quarter profits fell to $3.6 million (9 cents a share) from $19.2 million (68 cents) a year earlier, and sales fell 7 percent to $450.5 million from $485.1 million.

The latest quarter's earnings included an $18 million gain from the sale of an interest in two commodity chemical businesses. Excluding that gain, net income a year ago was $1.2 million, Uniroyal said.

Uniroyal also said "the single largest negative factor in the tire and related products segment was the Mexican financial situation," in which the devaluation of the peso erased dollar earnings.

Overall, earnings of tires and related products climbed to $11 million from $7 million, but earnings from chemical, rubber and plastic materials group fell to $8 million from $10 million. Citicorp said profits rose 17 1/2 percent to a record $228 million from $194 million in the first three months of last year, despite a sharp increase in problem loans. Citicorp operates Citibank, the second-largest bank in the country after San Francisco-based Bank of America.

Earnings per share climbed to $1.74 from $1.51, and revenue rose to $1.45 billion from $1.22 billion. Bankers Trust New York Co., parent of the nation's 10th-largest bank, Bankers Trust Co., said profit grew 15.3 percent to $61.1 million from $53 million a year ago. Earnings per share rose to $2.03 from $1.88, but revenue fell to $935.9 million from $1.15 billion a year ago. United Technologies Corp. said that its earnings gain reflected strong sales of products and services to the government and improvements in some of its industrial markets, offsetting a continued decline in general aviation revenue.

First-quarter operating earnings rose to $110.1 million ($1.71 a share) from $95.5 million ($1.49) a year earlier. In the first quarter of 1982, an accounting change for investment tax credits lifted overall net income by $66.6 million, to $162.1 million ($2.77). First-quarter revenue rose to $3.5 billion from $3.2 billion.

Slight recoveries in the housing and automotive industries helped industrial-segment earnings, but orders have not improved in the commercial aerospace business, nonresidential construction and diesel systems.

Revenues for the Pratt & Whitney Aircraft Group increased during the quarter, offsetting a sharp decline in general aviation revenue.

Sales in the building systems and Inmont chemical products divisions increased moderately, while sales were strong at Sikorsky helicopters and within the electronics sector. Allied Corp. said its first-quarter profits rose to $118 million from $79 million despite a 4 percent decline in overall sales to $2.6 billion from $2.7 billion a year ago.

Allied had stepped into a takeover battle between Bendix Corp. and Martin Marietta Corp. last year, buying Bendix and acquiring an interest in Martin Marietta.

Chairman Edward L. Hennessy Jr. said the consolidation of Bendix and the interest in Martin Marietta added 16 cents a share to Allied's latest results.

Hennessy said that earnings per share before the accounting change and expressed as though Allied and Bendix were operatings under the same corporate umbrella last year fell to $1.24 this quarter from $1.33 last year.

Allied recorded substantial gains in its automotive operations, reflecting stronger demand for the domestic auto market, and in its military and commercial aviation, chemicals, plastics and carpet fibers operations.