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(a) All income derived from the administration of any such property shall be deposited in a separate account appropriately designated and shall inure to the benefit of and be used solely for the institution for whose benefit the conveyance shall have been made.
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(b) Income derived from any such property shall not be charged against any appropriation which, except for a conveyance to the State of Arkansas, would otherwise have been made for the institution for whose benefit the conveyance shall have been made.