A moped purchased two year back for ₹ 16.000 is now valued at ₹ 14,400. find the rate of depreciation per annum.
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Answer:
Current cost of the scooter, C
o
=16000
Cost after two years, C=14440
Let the rate of depreciation be R, then
C=C
o
(1−
100
R
)
T
⇒14400=16000(1−
100
R
)
2
⇒
16000
14400
=(1−
100
R
)
2
⇒(
40
38
)
2
=(1−
100
R
)
2
⇒
40
38
=1−
100
R
⇒
100
R
=1−
40
38
⇒R=
40
2×100
⇒R=5%
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