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Solve the following : A property valued at ₹7,00,000 is insured to the extent of ₹5,60,000 at % less 20%. . Calculate the saving made in the premium.Find the amount of loss that the owner must - Mathematics and Statistics

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प्रश्न

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.

योग

उत्तर

Given, Property value = ₹7,00,000,
Policy value = ₹5,60,000,

Rate of perimum = `(5)/(8)`% less 20%

Now, for the rate of perimu = `(5)/(8)`%

Amount of perimum = `(5)/(8)`% of policy value

= `(5)/(8) xx (1)/(100) xx 5,60,000`
= ₹3,500
For the rate of perimum
= `(5)/(8)`% less 20%

= `(5/8 - 20%  "of"  5/8)`

= `(5/8 - 20/100 xx 5/8)`%

= `(5/8 - 1/8)`%

= `(4)/(8)`%

= `(1)/(2)`%
Amount of perimum = `(1)/(2)`% of policy value

= `(1)/(2) xx (1)/(100) xx 5,60,000`
= ₹2,800
∴ Savings made in the premium

= premium on `(5)/(8)`% – premium on `(1)/(2)`%

= 3,500 – 2,800
= ₹700
∴ Savings made in the premium is ₹700.
Now, the property is damaged to the extent of 40% of its value.
∴ Value of damaged property (loss)
= 40% of property value

= `(40)/(100) xx 7,00,000` = ₹2,80,000

Since, Claim = `"Policy value"/"Property value" xx "Loss"`

= `(5,60,000)/(7,00,000) xx 2,80,000`
∴ Claim = ₹2,24,000
∴ Loss borne by the owner including premium

= (Loss – Claim) + Premium on `(1)/(2)`%

= (2,80,000 – 2,24,000) + 2,800
= 56,000 + 2,800
= ₹58,800
∴ Loss borne by the owner including the premium is ₹58,800.

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अध्याय 2: Insurance and Annuity - Miscellaneous Exercise 2 [पृष्ठ ३१]

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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 4.1 | पृष्ठ ३१

संबंधित प्रश्न

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


Define Life 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.


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 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


Insurance companies collect a fixed amount from their customers at a fixed interval of time. This amount is called ______.


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.


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.


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`


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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