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NCERT Class XI Mathematics - Sequences and Series - Solutions
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Question : 109 of 106
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A manufacturer reckons that the value of a machine, which costs him Rs. 15625, will depreciate each year by 20%. Find the estimated value at the end of 5 years.
Solution:
Cost of machine = Rs. 15625 It will depreciate each year by 20% ∴ Cost of machine at the end of first year = Rs. = Rs. (15625 – 3125) = Rs. 12500. Cost of machine at the end of second year = Rs. = Rs. [12500 – 2500] = Rs. 10000 Cost of machine at the end of third year = Rs. = Rs. [10000 – 2000] = Rs. 8000 Cost of machine at the end of fourth year = Rs. = Rs. [8000 – 1600] = Rs. 6400 Cost of machine at the end of fifth year = Rs. = Rs. [6400 – 1280] = Rs. 5120.
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