Maharashtra State BoardHSC Commerce 11th
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Mr. Chetan purchased furniture for her home at Rs.5,12,000/-. Considering the rate of depreciation as 12.5%, what will be the value of furniture after 3 years. - Mathematics and Statistics

Sum

Mr. Chetan purchased furniture for her home at Rs.5,12,000/-. Considering the rate of depreciation as 12.5%, what will be the value of furniture after 3 years.

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Solution

Given, purchase price of furniture = V

= ₹ 5,12,000/-

Rate of depreciation = r = 12.5%

Number of years = n = 3 years

∴ Value of furniture after 3 years = V`(1 - "r"/100)^"n"`

= `5,12,000(1 - 12.5/100)^3`

= `5,12,000(1 - 1/8)^3`

= `5,12,000(7/8)^3`

= `5,12,000 xx 343/512`

= 3,43,000

∴ The value of furniture will be ₹ 3,43,000/-

Concept: Depreciation
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Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 9 Commercial Mathematics
Exercise 9.4 | Q 5 | Page 132
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