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

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%. - Mathematics and Statistics

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प्रश्न

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%.

बेरीज

उत्तर

Given, Property value = ₹5,00,000,
Premium = ₹13,000
Rate of commission = 11%
Since the person insures 80% of property value,

∴ Policy value = `(80)/(100) xx 5,00,000` = ₹4,00,000

He pays ₹13,000 as premium

Amount of premium = `"Rate of premium"/(100) xx "policy value"`

∴ 13,000 = `"Rate of perimum"/(100) xx 4,00,000`

∴ Rate of perimum = `(100 xx 13,000)/(4,00,000)` = 3.25%

Agent’s rate of commission is 11% of the premium.

∴ Agent's commission = `(11)/(100) xx 13,000` = ₹1,430

∴ Rate of premium is 3.25% and agent's commission is ₹1,430.

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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 3 | पृष्ठ २०

संबंधित प्रश्‍न

The Principle of indemnity is not applicable to ____________

a. life insurance

b. marine insurance

c. fire insurance.


Distinguish between the following:

Fire Insurance and Marine Insurance


Principles of Insurance?


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


Find the premium on a property worth ₹ 25,00,000 at 3% if (i) the property is fully insured, (ii) the property is insured for 80% of its value.


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.


60,000 articles costing Rs. 200 per dozen were insured against fire for Rs. 2,40,000. If 20% of the articles were burnt and 7,200 of the remaining articles were damaged to the extent of 80% of their value, find the amount that can be claimed under the policy.


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.


Choose the correct alternative :

Following are different types of insurance.
I. Life insurance
II. Health insurance
III. Liability insurance


Fill in the blank :

General insurance covers all risks except __________.


The value of insured property is called ______.


State whether the following is True or False :

The amount of claim cannot exceed the amount of loss.


State whether the following is True or False :

Premium is the amount paid to the insurance company every month.


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.


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


______ insurance is not covered by general insurance


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`


Policy value = ₹ 80,000

Period of policy = 20 years

Amount of money paid in 10 years = `square`

Annualized average rate per bonus = ₹ 20 per thousand per year

For one year, bonus = `square/1000 xx 80,000`

= ₹ 1,600

Bonus for 10 years = `10 xx square`

= ₹ 16,000

Total amount after 10 years = `square + 16000`

= ₹ `square`


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