Earnings at five local financial institutions rose sharply in the first quarter, the companies reported.

United Virginia Bankshares Inc., a Richmond-based institution with 188 offices in Virginia, said it earned $13.2 million ($2.17 a share) in the first quarter, up from $10.1 million ($1.77) a year earlier. The bank reported that its assets totaled $4.8 billion at the end of the first quarter, up 20 percent from $4 billion a year earlier.

United Virginia attributed most of the increase to a widening of the gap between the interest rates it was paying on deposits and to obtain money and the rates it was charging on loans, a reason also cited by First Virginia Banks Inc. in reporting its 32 percent increase in earnings in the first quarter.

Falls Church-based First Virginia's net income increased 32 percent in the quarter to $7.2 million (57 cents a share) from $5.4 million (43 cents). The bank said its total deposits at the end of the quarter were $1.8 billion, up 11 percent from $1.6 billion a year earlier, while assets rose 11 percent to $2 billion on March 31 from $1.8 billion a year earlier.

Citizens Bankcorp., the Riverdale-based holding company that operates Citizens Bank and Trust Co. of Maryland, said its earnings rose 15 percent in the first quarter to $4 million ($2.24 a share) from $3.5 million ($1.95). Assets grew 9 percent to $839.3 million at the end of the quarter from $754.8 million on March 31, 1982.

Central National Bank of Maryland said its net income increased 8 percent in the first quarter to $152.2 million (57 cents a share) from $140.4 million (54 cents). The Silver Spring-based bank said its assets rose 13 percent to $82.8 million from $73.1 million.

Second National Building & Loan Inc. of Salisbury posted record first-quarter profits of $861,000 ($6.11 a share) compared with $3,362 (2 cents) last year.

President Henry A. Berliner Jr. attributed the sharp improvement by the company to lower interest rates and a resurging building industry.

Meanwhile, Hotel Investors Trust and Hotel Investors Corp. of Chevy Chase reported combined income for the second fiscal quarter of $1.1 million (41 cents a share), down 28 percent from $1.7 million (66 cents) a year ago. Revenues for the combined company rose 12 percent to $7.6 million from $6.8 million in the quarter, which ended Feb. 28. For the half, combined income was $2.6 million ($1.01), down 32 percent from $3.8 million ($1.45) a year ago, on revenue of $14.8 million, a 9 percent increase from $6.8 million.

Hotel Investors Trust is a real estate investment trust that owns or finances Marriott, Sheraton, Ramada Inn and other hotels around the country, and then leases them to Hotel Investors Corp. for management.

Shares of the trust and corporation are traded together on the New York Stock Exchange.

The company attributed the lower earnings to a decline in income from its Dallas Marriott property due to overcapacity in that market and poor results at Marriotts in Milwaukee and Omaha as the result of the recession's effects on the Midwest.