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प्रश्न
A shop and a godown worth ₹ 1,00,000 and ₹ 2,00,000 respectively were insured through an agent who was paid 12% of the total premium. If the shop was insured for 80% and the godown for 60% of their respective values, find the agent's commission, given that the rate of premium was 0.80% less 20%
उत्तर
Given, Value of shop (property value) = ₹ 1,00,000
Value of godown (property value) = ₹ 2,00,000
Rate of commission = 12%
Shop was insured for 80% of its value.
Policy value = 80% of its property value
= `80/100 xx 1,00,000`
= ₹ 80,000
Godown was insured for 60% of its value.
∴ Policy value of godown = 60% of its property value
= `60/100 xx 2,00,000`
= ₹ 1,20,000
Total policy value = Policy value of shop + Policy value of godown
= 80,000 + 1,20,000
= 2,00,000
Rate of premium is 0.80% less 20%
i.e., 0.80 − 20% of 0.80
= 0.80 − 0.16
= 0.64%
∴ Amount of premium = 0.64% of total policy value
= `0.64/100 xx 2,00,000`
= ₹ 1,280
Commission of agent = 12% of amount of premium
= `12/100 xx 1,280`
= 153.6
∴ Agent’s commission is ₹ 153.6
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