Diya purchase scientific equipment for rupees 6000.If it's coat depreciates to rupees 5415in 2 years. Find the rate of depreciation.5%
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Answered by
8
Initial Value = S = 6000
Value after 2 years = R = 5415
Duration = D = 2 years
i = rate of depreciation
R = S(1 - i)^D
5415 = 6000(1 - i)^2
5415/6000 = (1 - i)^2
0.9025 = (1 - i)^2
√(0.9025) = 1 - i
0.95 = 1 - i
i = 1 - 0.95
i = 0.05
i = 5%
Value after 2 years = R = 5415
Duration = D = 2 years
i = rate of depreciation
R = S(1 - i)^D
5415 = 6000(1 - i)^2
5415/6000 = (1 - i)^2
0.9025 = (1 - i)^2
√(0.9025) = 1 - i
0.95 = 1 - i
i = 1 - 0.95
i = 0.05
i = 5%
Answered by
0
Answer:
previous price =6000
present price =5415
time=2yrs
let rate=x
present price =past price *(1-rate/100)²
6000=5415*(100-x/100)²
6000/5415=(100-x/100)²
400/361=(100-x/100)²
20/19=100-x/100
20*100/19=100-x
100-2000/19=x
x=-100/19
rate =100/19%
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