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Question
A property worth ₹4,00,000 is insured with three companies: A, B, and C. The amounts insured with these companies are ₹1,60,000, ₹1,00,000 and ₹1,40,000 respectively. Find the amount recoverable from each company in the event of a loss to the extent of ₹9,000.
Solution
Given, Property value = ₹4,00,000
Loss = ₹9,000
Policy value of company A = ₹1,60,000
Policy value of company B = ₹1,00,000
Policy value of company C = ₹1,40,000
Claim = `"Policy value"/"Property value" xx "Loss"`
∴ Claim for company A = `(1,60,000)/(4,00,000) xx 9,000` = ₹3,600
∴ Claim for company B = `(1,00,000)/(4,00,000) xx 9,000` = ₹2,250
∴ Claim for company C = `(1,40,000)/(4,00,000) xx 9,000` = ₹3,150
∴ Amount recoverable from Company A, B and C are ₹3,600, ₹2,250 and ₹3,150 respectively.
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Rate of premium, r = ₹ 3%
If property is fully insured, the policy value is same as property value therefore policy value = `square`
Premium = `"r"/100 xx "policy value"`
= `square/100 xx 12,50,000`
= `square`
