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

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% - Mathematics and Statistics

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प्रश्न

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.

बेरीज

उत्तर

Given, Total number of articles = 60,000
Cost of the articles = ₹200 per dozen

i.e., one article costs ₹ `(200)/(12)`
Policy value = ₹2,40,000
Cost of 60,000 articles (property value)
= Number of articles x Cost of one article

= `60,000 xx (200)/(12)`
= ₹10,00,000
Given, 20% of the articles were completely burnt.
∴ Value of burnt articles
= 20% of value of total articles

= `20/100 xx 10,00,000`
= ₹2,00,000
7,200 articles were damaged to 80% of their value. Total value of 7,200 articles
= 7,200 x cost of one article

= `7,200 xx (200)/(12)`
= ₹1,20,000
∴ Loss on 7,200 articles
= 80% of value

= `(80)/(100) xx 1,20,000`
= ₹96,000

∴ Total loss:
= Value of burnt articles + Loss on 7,200 articles
= 2,00,000 + 96,000
= ₹2,96,000

Claim = `"Policy value"/"Property value" xx "Total loss"`

∴ Claim = `(2,40,000)/(10,00,000) xx 2,96,000`

= ₹71,040
∴ Amount that can be claimed under the policy is ₹71,040.

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पाठ 2: Insurance and Annuity - Exercise 2.1 [पृष्ठ २०]

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बालभारती Mathematics and Statistics 2 (Commerce) [English] 12 Standard HSC Maharashtra State Board
पाठ 2 Insurance and Annuity
Exercise 2.1 | Q 7 | पृष्ठ २०

संबंधित प्रश्‍न

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


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?


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.


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 :

General insurance covers all risks except __________.


Fill in the blank :

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


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 35-year old person takes a policy for ₹1,00,000 for a period of 20 years. The rate of premium is ₹76 and the average rate of bonus is ₹7 per thousand p.a. If he dies after paying 10 annual premiums, what amount will his nominee receive?


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:

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 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`


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