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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

The rate of premium on a policy of ₹1,00,000 is ₹56 per thousand per annum. A rebate of ₹0.75 per thousand is permitted if the premium is paid annually. Find the net amount of premium payable - Mathematics and Statistics

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प्रश्न

The rate of premium on a policy of ₹ 1,00,000 is ₹ 56 per thousand per annum. A rebate of ₹ 0.75 per thousand is permitted if the premium is paid annually. Find the net amount of premium payable if the policyholder pays the premium annually.

बेरीज

उत्तर

Given, Policy value = ₹ 1,00,000
Rate of premium = ₹ 56 per thousand per annum
Rebate = 0.75 per thousand, if paid annually

∴ Rebate = `56 xx (0.75)/(1000)` = 0.042

∴ Net rate of premium
= Rate of premium – Rebate
= 56 – 0.042
= ₹ 55.958 per thousand
Let the policy value be ₹1,000
Then premium = ₹ 55.958
∴ For policy value of 1,00,000,

Net amount of perimum = `(55.958 xx 1,00,000)/(1,000)`

= ₹ 5,595.8
∴ Net amount of premium that policy holder pays annually is ₹ 5,595.8.

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पाठ 2: Insurance and Annuity - Exercise 2.1 [पृष्ठ २०]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Insurance and Annuity
Exercise 2.1 | Q 12 | पृष्ठ २०

संबंधित प्रश्‍न

The Principle of indemnity is not applicable to ____________

a. life insurance

b. marine insurance

c. fire insurance.


State Whether the Following Statement Are True Or False (Give Reason)

Principles of utmost good faith is only applicable to life insurance contract.


Distinguish between the following:
Fire Insurance & Marine Insurance


Choose the correct answer for the following:
Which of the following is not a function of insurance?


Choose the correct answer for the following:
Which of the following is not applicable in life insurance contract?


Explain briefly the principles of insurance with suitable examples?


A person insures his office valued at ₹5,00,000 for 80% of its value. Find the rate of premium if he pays ₹13,000 as premium. Also, find agent’s commission at 11%.


The rate of premium is 2% and other expenses are 0.75%. A cargo worth ₹ 3,50,100 is to be insured so that all its value and the cost of insurance will be recovered in the event of total loss.


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%.


Choose the correct alternative :

“A contract that pledges payment of an agreed upon amount to the person (or his/ her nominee) on the happening of an event covered against” is technically known as


Fill in the blank :

The proportion of property value to insured value is called __________.


A house valued at ₹ 8,00,000 is insured at 75% of its value. If the rate of premium is 0.80%, find the premium paid by the owner of the house. If agent’s commission is 9% of the premium, find agent’s commission.


Solve the following :

A factory building is insured for `(5/6)^"th"` of its value at a rate of premium of 2.50%. If the agent is paid a commission of ₹2,812.50, which is 7.5% of the premium, find the value of the building.


Solve the following :

A merchant takes fire insurance policy to cover 80 % of the value of his stock. Stock worth ₹80,000 was completely destroyed in a fire while the rest of stock was reduced to 20% of its value. If the proportional compensation under the policy was ₹67,200, find the value of the stock.


Solve the following :

15,000 articles costing ₹200 per dozen were insured against fire for ₹1,00,000. If 20 % of the articles were burnt completely and 2400 of other articles were damaged to the extent of 80% of their value, find the amount that can be claimed under the policy.


Solve the following :

A cargo of grain is insured at `(3/4)`% to cover 70% of its value. ₹1,008 is the amount of premium paid. If the grain is worth ₹12 per kg, how many kg of the grain did the cargo contain?


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.


State whether the following statement is True or False:

Premium is the amount paid to the insurance company every month


State whether the following statement is True or False:

The value of insured property is called policy value


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