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The rate of premium is 2% and other expenses are 0.075%. 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. - Mathematics and Statistics

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प्रश्न

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.

योग

उत्तर

Property value = 3,50,100

Let insured value = a.

∴ premium = `(2"a")/100`

Other expenses = 0.75% of a

`= (75 "a")/(10,000)`

∴ Insured value = Property value + Premium + Other expenses

∴ a = 3,50,100 + `(2"a")/100 + (75 "a")/(10,000)`

∴ a = 3,50,100 + `(2"a" xx 100)/(100 xx 100) + (75 "a")/(10,000)` ....(Multiplied by 100)

∴ a = 3,50,100 + `(200"a")/10000 + (75 "a")/(10,000)`  

∴ a = 3,50,100 + `(275 "a")/(10,000)`

∴ a - `(275 "a")/(10,000)` = 3,50,100

∴ `(10,000 "a" - 275 "a")/(10,000) = 3,50,100`

∴ `(9,725 "a")/(10,000)` = 3,50,100

∴ a = `3,50,100 xx (10,000)/(9,725)`

∴ a = 3,60,000

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अध्याय 2.2: Insurance and Annuity - Q.4

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


Define Life Insurance. 


Answer the following question:
Define insurance. Explain the various principles of insurance.


Explain briefly the principles of insurance with suitable examples?


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 person takes a life policy for ₹2,00,000 for a period of 20 years. He pays premium for 10 years during which bonus was declared at an average rate of ₹20 per year per thousand. Find the paid up value of the policy if he discontinues paying premium after 10 years.


Fill in the blank :

An installment of money paid for insurance 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.


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 :

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 :

For what amount should a cargo worth ₹25,350 be insured so that in the event of total loss, its value as well as the cost of insurance may be recovered when the rate of premium is 2.5 %.


State whether the following statement is True or False:

An installment of money paid for insurance is called Premium


______ insurance is not covered by general insurance


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`


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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