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Question
A building is insured for 75% of its value. The annual premium at 0.70 percent amounts to ₹ 2,625. If the building is damaged to the extent of 60% due to fire, how much can be claimed under the policy?
Solution
Let the property value of the building be ₹ x.
Since the building is insured for 75% of its value,
∴ Policy value = 75% of property value
= `(75)/(100) xx x`
= `(3x)/(4)`
Now, annual premium is ₹2,625 at 0.7%.
∴ Amount of premium = 0.7% of policy value
∴ 2,625 = `(0.7)/(100) xx (3x)/(4)`
∴ x = `(2,625 xx 100 xx 4)/(0.7 xx 3)`
∴ x = ₹ 5,00,000
∴ Property value of the building is ₹ 5,00,000.
Policy value = `(3 xxx)/(4)`
= `(3 xx 5,00,000)/(4)`
= `(15,00,000)/4`
= ₹ 3,75,000
Fire damaged the building to the extent of 60%.
∴ Loss = 60% of property value
= `(60)/(100) xx 5,00,000` = ₹ 3,00,000
Claim = `"Policy value"/"Property value" xx "Loss"`
∴ Claim = `(3,75,000)/(5,00,000) xx 3,00,000`
= ₹ 2,25,000
∴ ₹ 2,25,000 can be claimed under the policy.
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