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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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Question

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 %.

Sum
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Solution

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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Chapter 2: Insurance and Annuity - Miscellaneous Exercise 2 [Page 30]

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Balbharati Mathematics and Statistics 2 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 2 Insurance and Annuity
Miscellaneous Exercise 2 | Q 4.07 | Page 30
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