TheDepreciater

Number Theory Level 2

A piece of equipment cost a factory $600,000 . If the depreciation in value is 15% for the first year, 13.5% for the next year, 12% for the third year and so on, what will be it's value after 10 years ??

Note that, all percentages apply to the original cost (Also you don't have to include any dollar sign or comma while typing the answer)


The answer is 105000.

Aditya Shrivastava by Aditya Shrivastava , 17, India

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1 solution

The final value of the equipment is 600000 ( 1 − 15 100 − 13.5 100 − 12 100 − . . . − 1.5 100 ) = 600000 ( 1 − 16.5 20 ) = 105000 600000\left (1-\dfrac{15}{100}-\dfrac{13.5}{100}-\dfrac{12}{100}-...-\dfrac{1.5}{100}\right) =600000\left (1-\dfrac{16.5}{20}\right) =\boxed {105000} .

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