RICHMOND, Va. - Central Fidelity Banks Inc. increased second-quarter income by 23%, to $18.6 million.

The per-shape figure was 85 cents, versus 71 cents in the 1991 quarter. Income for the first half rose 19%, to $35.6 million, or $1.63 a share.

Central Fidelity said its mid-year year assets of $7.1 billion were a healthy 13% above the June 1991 total, and return on assets for the first six months improved to 1.05%, from 1.01%.

The asset growth was similar to the 14% reported this week by another healthy banking company in the state, First Virginia Banks Inc. of Falls Church.

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