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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 - Mathematics and Statistics

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प्रश्न

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.

योग

उत्तर

Given, Policy value = ₹2,00,000
Period of policy = 20 years

∴ Premium per year = `"Policy Value"/"Period of policy"`

= `(2,00,000)/(20)`
= ₹10,000
But, the person pays premium for 10 years.
∴ Premium paid by the person
= 10,000 x 10
= ₹1,00,000
Rate of bonus = ₹20 per year for thousand,

Bonus for 1 year = `(20)/(1,000) xx 2,00,000`
= ₹4,000
∴ Bonus for 10 years
= 4,000 x 10
= ₹40,000
∴ Paid up vallue of  the policy
= Perimum paid of the person + Bonus for 10 years
= 1,00,000 + 40,000
= ₹1,40,000
∴ Paid up value of the policy is ₹1,40,000 if the person discontinues paying the premium after 10 years.

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अध्याय 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
अध्याय 2 Insurance and Annuity
Exercise 2.1 | Q 14 | पृष्ठ २०

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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:

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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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