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प्रश्न
A car valued at ₹8,00,000 is insured for ₹5,00,000. The rate of premium is 5% less 20%. How much will the owner bear including the premium if value of the car is reduced to 60 % of its original value.
उत्तर
Given, Value of the car (property value)= ₹8,00,000 Policy value = ₹5,00,000
Rate of premium is 5% less 20%
i.e., 5% 20% of 5% = 5% - 1% = 4%
∴ Amount of perimum = 4% of policy value
= `(4)/(100) xx 5,00,000`
= ₹20,000
Value of car is reduced to 60% of its original value.
∴ Reduced value = 60% of original value
= `(60)/(100) xx 8,00,000`
₹ 4,80,000
∴ Loss = Original Value of car – Reduced value of car
= 8,00,000 – 4,80,000
= ₹3,20,000
Claim = `"Policy value"/"Property value" xx "Loss"`
∴ Claim = `(5,00,000)/(8,00,000) xx 3,20,000`
= ₹2,00,000
∴ Actual loss borne by the owner
= Loss – Claim + Premium
= 3,20,000 – 2,00,000 + 20,000
= ₹1,40,000
∴ Loss borne by the owner is ₹1,40,000.
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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`
