Reimbursement on property damage

Tim's Replacement Cost Coverage

Tim recently purchased a board form HO$-2$ policy with no deductible. The policy value is $$96,000.$ A year later, his roof is damaged by a fire and he suffers a loss of $$76,800.$

If the replacement value of Tim's house is $$160,000$ and the insurance policy includes a replacement cost requirement of $80\%,$ he will receive a reimbursement of $