The present price of a television is Rs. 35000. After how many years the price will be Rs. 25515 if its price reduces by 10% per annum? Find it.

Aakash Shah

3 years ago

1 Answer

Aakash Shah

3 years ago

Given,

Present cost (C) = Rs.225000

Rate of compound depreciation (R) = 8% p.a

Cost after depreciation (C_T) = Rs. 175204.80

To find: Time (T)

By formula,

C_T = \(C(1-\frac R{100})^T\)

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

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