Given,
Present cost (C) = Rs.225000
Rate of compound depreciation (R) = 8% p.a
Cost after depreciation (CT) = Rs. 175204.80
To find: Time (T)
By formula,
CT = \(C(1-\frac R{100})^T\)
or, Rs.175204.80 = Rs.225000 \((1-\frac8{100})^T\)
or, \(\frac{Rs.175204.80}{Rs.225000}\) = (1 - 0.08)T
or, 0.778688 = (0.92)T
or, (0.92)3 = (0.92)T
or, 3 = T
Therefore, required time (T) = 3 years