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Solve the following : For what amount should a cargo worth ₹25,350 be insured so that in the event of total loss, its value as well as the cost of insurance may be recovered when the rate - Mathematics and Statistics

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प्रश्न

Solve the following :

For what amount should a cargo worth ₹25,350 be insured so that in the event of total loss, its value as well as the cost of insurance may be recovered when the rate of premium is 2.5 %.

बेरीज

उत्तर

Given, Property value of cargo = ₹25,350,
Rate of premium = 2.50 %
Let the policy value be ₹100, which includes the premium ₹2.50.
∴ Value of cargo = Policy value – Premium
= 100 – 2.50 = ₹97.50
For the property value of ₹97.50, the policy value is ₹100.
∴ For property value of ₹25,350,

Policy value = `(25,350 xx 100)/(97.50)` = ₹26,000
∴ Cargo worth ₹25,350 should be insured for ₹26,000.

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पाठ 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
पाठ 2 Insurance and Annuity
Miscellaneous Exercise 2 | Q 4.07 | पृष्ठ ३०

संबंधित प्रश्‍न

Define Fire Insurance. 


Principles of Insurance?


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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.


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 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 :

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


State whether the following is True or False :

The amount of claim cannot exceed the amount of loss.


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 :

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 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.


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


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