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.
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Dear Student,
● Answer -
Estimated value of machine = 5120 Rs
● Explanation -
Given that value of machine decreases each year by 20 %.
So estimated value of machine after 5 years is -
Estimated value = Initial value (1 - decrease %)^time
Estimated value = 15625 (1 - 20/100)^5
Estimated value = 15625 (1 - 0.2)^5
Estimated value = 15625 × 0.8^5
Estimated value = 15625 × 0.32768
Estimated value = 5120 Rs
Hence, estimated value of machine is 5120 Rs.
Thanks dear..
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