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

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. - Mathematics and Statistics

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प्रश्न

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.

बेरीज

उत्तर

Given, Value of the car (property value)= ₹8,00,000 Policy value = ₹5,00,000
Rate of premium is 5% less 20%
i.e., 5% 20% of 5% = 5% - 1% = 4%
∴ Amount of perimum = 4% of policy value

= `(4)/(100) xx 5,00,000`
= ₹20,000
Value of car is reduced to 60% of its original value.
∴ Reduced value = 60% of original value

= `(60)/(100) xx 8,00,000`
₹ 4,80,000
∴ Loss = Original Value of car – Reduced value of car
= 8,00,000 – 4,80,000
= ₹3,20,000

Claim = `"Policy value"/"Property value" xx "Loss"`

∴ Claim = `(5,00,000)/(8,00,000) xx 3,20,000`
= ₹2,00,000
∴ Actual loss borne by the owner
= Loss – Claim + Premium
= 3,20,000 – 2,00,000 + 20,000
= ₹1,40,000
∴ Loss borne by the owner is ₹1,40,000.

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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 10 | पृष्ठ २०

संबंधित प्रश्‍न

Define Fire Insurance. 


Distinguish between the following:
Fire Insurance & Marine Insurance


Answer the following question:
Define insurance. Explain the various principles of insurance.


Explain briefly the principles of insurance with suitable examples?


Find the premium on a property worth ₹ 25,00,000 at 3% if (i) the property is fully insured, (ii) the property is insured for 80% of its value.


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%.


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 property worth ₹4,00,000 is insured with three companies: A, B, and C. The amounts insured with these companies are ₹1,60,000, ₹1,00,000 and ₹1,40,000 respectively. Find the amount recoverable from each company in the event of a loss to the extent of ₹9,000.


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


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


The value of insured property is called ______.


State whether the following is True or False :

Premium is the amount paid to the insurance company every month.


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:

An installment of money paid for insurance is called Premium


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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