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Question
Solve the following :
Stocks in a shop and godown worth ₹75,000 and ₹1,30,000 respectively were insured through an agent who receives 15% of premium as commission. If the shop was insured for 80% and godown for 60% of the value, find the amount of agent’s commission when the premium was 0.80% less 20%. If the entire stock in the shop and 20% stock in the godown is destroyed by fire, find the amount that can be claimed under the policy.
Solution
Given, Stock (property) value of shop = ₹75,000
Stock (property) value of godown = ₹1,30,000.
The shop was insured to 80% of its stock value.
Policy value of stock in the shop
= 80% of its property value
= `(80)/(100) xx 75,000`
= ₹60,000
Also, 60% of stock value of the godown was insured.
∴ Policy value of stock in the godown
= 60% of its stock value
= `(60)/(100) xx 1,30,000`
= ₹78,000
Total policy value = Policy value of stock in the shop + Policy value of stock in the godown
= 60,000 + 78,000
= ₹1,38,000
Rate of premium was 0.80% less 20%
i.e. 0.80 – 20% of 0.80
= 0.80 – 0.16
= 0.64%
∴ Amount of perimum
= 0.64% of total policy value
= `(0.64)/(100) xx 1,38,000`
= ₹883.20
Agent’s rate of commission is 15% of total premium.
∴ Agent’s commision = 15% of total premium
= `(15)/(100) xx 883.20`
= ₹132.4
Now, entire stock in the shop was destroyed by fire.
∴ Loss occurred in the shop = Stock value of the shop
∴ Loss occurred on the shop = ₹75,000
∴ Claim for shop = `"Policy value of stock in shop"/"Property value of stock in shop" xx "Loss in shop"`
= `(60,000)/(75,000) xx 75,000`
= ₹60,000
20% of stock was destroyed by fire in the godown.
∴ Destroyed value of stock (loss) in godown
= 20% of stock value
= `(20)/(100) xx 1,30,000`
= ₹26,000
∴ Claim for the godown = `"Policy value of stock in godown"/"Property value of stock in godown" xx "Loss in godown"`
= `(78,000)/(1,30,000) xx 26,000`
= ₹15,600.
∴ Total Claim
= Claim for shop + Claim for godown
= 60,000 + 15,600
= 75,600
∴ Amount that can be claimed under the policy is ₹75,600 and commission to the agent is ₹132.40.
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