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

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, - Mathematics and Statistics

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प्रश्न

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.

बेरीज

उत्तर

Given, Property value = ₹ 8,00,000

Since the house is insured for 75% of its value, Policy value = 75% of property value

= `(75)/(100) xx 8,00,000`

= ₹ 6,00,000

Rate of premium = 0.80%

∴ Amount of premium = 0.80% of policy value

= `(0.80)/(100) xx 6,00,000`

= ₹ 4,800

Agent’s rate of commission is 9% of the premium

∴ Agent’s commision = 9% of premium

= `(9)/(100) xx 4,800`

= ₹ 432

∴ Premium paid by the owner of house is ₹ 4,800 and the agent’s commission is ₹ 432. 

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पाठ 2: Insurance and Annuity - Miscellaneous Exercise 2 [पृष्ठ ३०]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Insurance and Annuity
Miscellaneous Exercise 2 | Q 4.01 | पृष्ठ ३०

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)

The principle of indemnity is applicable to life insurance.


Distinguish between the following:

Fire Insurance and Marine Insurance


Principles of 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?


A shop is valued at ₹3,60,000 for 75% of its value. If the rate of premium is 0.9%, find the premium paid by the owner of the shop. Also, find the agents commission if the agent gets commission at 15% of the premium.


A property worth ₹4,00,000 is insured with three companies: A, B, and C. The amounts insured with these companies are ₹1,60,000, ₹1,00,000 and ₹1,40,000 respectively. Find the amount recoverable from each company in the event of a loss to the extent of ₹9,000.


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.


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%.


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.


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 :

An installment of money paid for insurance is called __________.


Fill in the blank :

General insurance covers all risks except __________.


Solve the following :

A 35-year old person takes a policy for ₹1,00,000 for a period of 20 years. The rate of premium is ₹76 and the average rate of bonus is ₹7 per thousand p.a. If he dies after paying 10 annual premiums, what amount will his nominee receive?


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 :

A property valued at ₹7,00,000 is insured to the extent of  ₹5,60,000 at `(5/8)^"th"` % less 20%. . Calculate the saving made in the premium.Find the amount of loss that the owner must bear, including premium, if the property is damaged to the extent of 40 % of its value.


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:

An installment of money paid for insurance is called Premium


Property value = ₹ 12,50,000

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`


Property value = ₹ 12,50,000

Rate of premium, r = ₹ 3%

If property is 80% insured

Policy value = 80% of its property value

= `square/100 xx 12,50,000`

= ₹ 10,00,000

Premium = `square/100 xx 10,00,000`

= ₹ `square`


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