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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 - Mathematics and Statistics

Sum

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%.

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Solution

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  0.20% of 0.80 = 0.80  0.16 = 0.64%
∴ Amount of perimum
= 0.64% of total policy value

= `(0.64)/(100) xx 2,00,000`
= ₹1,280
Commission of agent
= 12% of amount of perimum

= `(12)/(100) xx 1,280` = 153.6
∴ Agent's commission is ₹153.6.

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