Final answer:
Using the coinsurance clause calculation, the insurance company will pay $15,000 toward the $20,000 loss on the apartment house. Therefore, the correct option is D.
Step-by-step explanation:
The question is about an insurance claim calculation, taking into account the co-insurance clause in the policy. Given that the apartment house is worth $50,000, but insured for $30,000, with an 80% coinsurance clause, and the loss being $20,000, we need to use the formula for calculating the insurance payment under a coinsurance clause:
Insurance Payment = (Amount of Insurance Purchased / (Value of Property × Coinsurance Percentage)) × Loss
In this case:
Amount of Insurance Purchased = $30,000
Coinsurance Percentage = 80%
Loss = $20,000
First, calculate the minimum required insurance to meet the coinsurance requirement:
Minimum Required Insurance = Value of Property × Coinsurance Percentage = $50,000 × 80% = $40,000
Now, apply the formula:
Insurance Payment = ($30,000 / $40,000) × $20,000 = 0.75 × $20,000 = $15,000
Therefore, the insurance company will pay $15,000 toward the loss.