The banking business of the Bancorp Bank Inc. has agreed to use a payment system developed by Evolution Benefits Inc.

The payment system, the Benny card, helps holders of health savings accounts, health reimbursement arrangements and other health and benefit accounts draw on the accounts using payment cards that resemble ordinary debit cards, according to Evolution, Avon, Conn.

The Bancorp, Wilmington, Del., runs a community bank in its hometown and sells “private-label” Internet banking services through affinity groups.