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Question
Find the premium on a property worth ₹ 25,00,000 at 3% if (i) the property is fully insured, (ii) the property is insured for 80% of its value.
Solution
Given, Property value = ₹ 25,00,000,
Rate of premium = 3%
(i) When a property is fully insured,
Here, Property value = Policy value
∴ Policy value = ₹ 25,00,000
Amount of premium = 3% of policy value
= `(3)/(100) xx 25,00,000`
= ₹ 75,000
∴ Amount of premium is ₹ 75,000.
(ii) When a property is insured to 80% of its value.
Here, Policy value = 80% of property value
= `(80)/(100) xx 25, 00, 000`
= ₹ 20,00,000
Amount of premium = 3% of policy value
= `(3)/(100) xx 20,00,000`
= ₹ 60, 000
∴ Amount of premium is ₹ 60,000.
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Property value = ₹ 12,50,000
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`
Property value = ₹ 12,50,000
Rate of premium, r = ₹ 3%
If property is 80% insured
Policy value = 80% of its property value
= `square/100 xx 12,50,000`
= ₹ 10,00,000
Premium = `square/100 xx 10,00,000`
= ₹ `square`
