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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, - Mathematics and Statistics

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प्रश्न

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.

योग

उत्तर

Given, Property value = ₹ 8,00,000

Since the house is insured for 75% of its value, Policy value = 75% of property value

= `(75)/(100) xx 8,00,000`

= ₹ 6,00,000

Rate of premium = 0.80%

∴ Amount of premium = 0.80% of policy value

= `(0.80)/(100) xx 6,00,000`

= ₹ 4,800

Agent’s rate of commission is 9% of the premium

∴ Agent’s commision = 9% of premium

= `(9)/(100) xx 4,800`

= ₹ 432

∴ Premium paid by the owner of house is ₹ 4,800 and the agent’s commission is ₹ 432. 

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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 4.01 | पृष्ठ ३०

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.


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


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.


60,000 articles costing Rs. 200 per dozen were insured against fire for Rs. 2,40,000. If 20% of the articles were burnt and 7,200 of the remaining articles were damaged to the extent of 80% of their value, find the amount that can be claimed under the policy.


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%.


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


Choose the correct alternative :

Following are different types of insurance.
I. Life insurance
II. Health insurance
III. Liability insurance


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 :

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 :

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.


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.


Solve the following :

A godown valued at ₹80,000 contained stock worth ₹4,80,000. Both were insured against fire. Godown for ₹50,000 and stock for 80% of its value. A part of stock worth ₹60,000 was completely destroyed and the rest was reduced to 60% of its value. The amount of damage to the godown is ₹40,000. Find the amount that can be claimed under the policy.


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:

The value of insured property is called policy value


______ insurance is not covered by general insurance


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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