If you lost a copy of your lease agreement with your former landlord and want a copy of the document for your records, the property management company handling the unit can charge you for the reasonable costs of copying the lease as a cost of doing business. It has the copying machine, toner and electricity to run the machine to pay for.If you had a copy of the lease before and lost it, it is not unreasonable for the property management company to charge you the copying charges.