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

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.

बेरीज

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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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 4.13 | पृष्ठ ३१

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.


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 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 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.


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%.


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


Choose the correct alternative :

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


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 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 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.


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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