Final answer:
The insured will receive $5,000 as a settlement, not including the deductible.
Step-by-step explanation:
To calculate the settlement amount, we first need to determine if the amount of insurance carried meets the 80% coinsurance requirement. The coinsurance requirement is 80% of the replacement cost, which is $80,000. Since the amount of insurance carried is only $40,000, it does not meet the requirement.
Settlement Amount = Loss Amount x (Amount of Insurance Carried / Coinsurance Requirement)
Substituting in the given values, we get:
Settlement Amount = $10,000 x ($40,000 / $80,000) = $5,000
Therefore, the insured will receive $5,000 as a settlement, not including the deductible.