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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 - Mathematics and Statistics

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प्रश्न

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 %.

योग

उत्तर

Given, Property value of cargo = ₹25,350,
Rate of premium = 2.50 %
Let the policy value be ₹100, which includes the premium ₹2.50.
∴ Value of cargo = Policy value – Premium
= 100 – 2.50 = ₹97.50
For the property value of ₹97.50, the policy value is ₹100.
∴ For property value of ₹25,350,

Policy value = `(25,350 xx 100)/(97.50)` = ₹26,000
∴ Cargo worth ₹25,350 should be insured for ₹26,000.

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अध्याय 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
अध्याय 2 Insurance and Annuity
Miscellaneous Exercise 2 | Q 4.07 | पृष्ठ ३०

संबंधित प्रश्न

Define Life 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


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 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 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.


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 ______.


Fill in the blank :

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


State whether the following is True or False :

The amount of claim cannot exceed the amount of loss.


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 :

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.


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:

An installment of money paid for insurance is called Premium


State whether the following statement is True or False:

The value of insured property is called policy value


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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