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Solve the following : A person holding a life policy of ₹1,20,000 for a term of 25 years wants to discontinue after paying premium for 8 years at the rate of ₹58 per thousand p. a. Find the amount - Mathematics and Statistics

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प्रश्न

Solve the following :

A person holding a life policy of ₹1,20,000 for a term of 25 years wants to discontinue after paying premium for 8 years at the rate of ₹58 per thousand p. a. Find the amount of paid up value he will receive on the policy. Find the amount he will receive if the surrender value granted is 35% of the premiums paid, excluding the first year’s premium.

योग

उत्तर

Given, Policy value = ₹1,20,000
Period of policy = 25 years
∴ Paid up value of one year = `"Policy value"/"Period of policy"`

= `(1,20,000)/(25)`
= ₹4,800
But, the person wishes to discontinue after paying premium for 8 years
∴ Paid up value = 4,800 x 8 = ₹38,400
Amount of premium paid for one year

= `(58)/(1000) xx 1,20,000` = ₹6,960
∴ Amount of premium paid for 8 years
= 6,960 x 8
= ₹55,680
Surrender value
= 35% of (premium paid for 8 years – premium paid for first year)

= `(35)/(100) xx (55,680 - 6,960)`

= `(35)/(100) xx 48,720`
= ₹17,052
∴ The person holding life policy will get amount of ₹17,052.

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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 4.12 | 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. 


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


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


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


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 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%.


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.


A property worth ₹4,00,000 is insured with three companies: A, B, and C. The amounts insured with these companies are ₹1,60,000, ₹1,00,000 and ₹1,40,000 respectively. Find the amount recoverable from each company in the event of a loss to the extent of ₹9,000.


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.


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.


State whether the following statement is True or False:

Premium is the amount paid to the insurance company every month


______ insurance is not covered by general insurance


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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