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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 - Mathematics and Statistics

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प्रश्न

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.

योग

उत्तर

Given, Property value of godown = ₹80,000.
Property value of stock =₹4,80,000
Policy value of godown = ₹50,000
Stock is insured for 80% of its value.
Policy value of stock
= 80% of its property value

= `(80)/(100) xx 4,80,000`
= ₹3,84,000
Value of stock completely destroyed = ₹60,000
∴  Value of remaining stock = Property vale of stock –  Value of stock completely destroyed
= 4,80,000 – 60,000
= ₹4,20,000
Value of remaining stock is reduced to 60% of its value. Thus, loss is to the extent of 40%.
∴ Loss on remaining stock
= 40% of its value

= `(40)/(100) xx 4,20,000`
= ₹1,68,000
∴ Total loss of the stock
= Value of stock completely destroyed + Loss on reduced value of stock
= 60,000 + 1,68,000
= 2,28,000

∴ Claim for stock = `"Policy value of stock"/"Property value of stock" xx "Loss on stock"`

= `(3,84,000)/(4,80,000) xx 2,28,000`
= ₹1,82,400
Loss on godown = ₹40,000,

Claim for godown = `"Policy value of godown"/"Property value of stock" xx "Loss on godown"`

= `(50,000)/(80,000) xx 40,000`
= ₹25,000
∴ Total amount claimed
= Amount claimed on stock + Amount claimed on godown
= 1,82,400 + 25,000
= 2,07,400
∴ Amount that can be claimed under the policy is ₹ 2,07,400.

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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 4.13 | पृष्ठ ३१

संबंधित प्रश्न

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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.


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State Whether the Following Statement Are True Or False (Give Reason)

Principles of utmost good faith is only applicable to life insurance contract.


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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 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.


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.


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


Fill in the blank :

An installment of money paid for insurance is called __________.


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General insurance covers all risks except __________.


The value of insured property is called ______.


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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?


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Solve the following :

A cargo of grain is insured at `(3/4)`% to cover 70% of its value. ₹1,008 is the amount of premium paid. If the grain is worth ₹12 per kg, how many kg of the grain did the cargo contain?


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.


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:

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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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