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

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.

बेरीज

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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पाठ 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
पाठ 2 Insurance and Annuity
Miscellaneous Exercise 2 | Q 4.1 | पृष्ठ ३१

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


Define Fire Insurance. 


Choose the correct answer for the following:
Which of the following is not applicable in life insurance contract?


Explain briefly the principles of insurance with suitable examples?


A cargo of rice was insured at 0.625% to cover 80% of its value. The premium paid was ₹5,250. If the price of rice is ₹21 per kg, find the quantity of rice (in kg) in the cargo.


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.


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.


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.


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 __________.


State whether the following statement is True or False:

Premium is the amount paid to the insurance company every month


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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