recoup

verb

• To make back, as an investment.

  "He barely managed to recoup his money. He sold out for just what he had invested."

• To recover from an error.
• To keep back rightfully (a part), as if by cutting off, so as to diminish a sum due; to take off (a part) from damages; to deduct.

  "A landlord recouped the rent of premises from damages awarded to the plaintiff for eviction."

• To reimburse; to indemnify; often used reflexively and in the passive.