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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. - Mathematics

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प्रश्न

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.

योग
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उत्तर

Cost of machine = Rs. 15625

It will depreciate each year by 20%

∴ Cost of machine at the end of first year

= Rs. `(15625 - (15625 xx 20)/100)`

= Rs. (15625 - 3125)

= Rs. 12500

Cost of machine at the end of second year

= Rs. `(12500 - (12500 xx 20)/100)`

= Rs. [12500 - 2500]

= Rs. 10000

Cost of machine at the end of third year

= Rs. `(10000 - (10000 xx 20)/100)`

= Rs. [10000 - 2000] = Rs. 8000

 Cost of machine at the end of fourth year

= Rs. `(8000 - (8000 xx 20)/100)`

=Rs. [8000 - 1600]

= Rs. 6400

Cost of machine at the end of fifth year

= Rs. `(6400 - (6400 xx 20)/100)`

= Rs. [6400 - 1280]

= Rs. 5120

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अध्याय 8: Sequences and Series - Miscellaneous Exercise [पृष्ठ १४८]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 8 Sequences and Series
Miscellaneous Exercise | Q 17. | पृष्ठ १४८

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