Question

the cost pruce of a nachin 250000 lf a rate of depreaciation is 10%per year find the depreciation in price of the machin after two year ​

Answer 1

present cost of machine = 250000

cost of depreciation per year = 10%

Cost after 2 years = ?

cost after one year = 10% of 250000

=> 10/100×250000

=> 25000

New cost = 250000-25000

=> 225000

Cost after two years = 10% of 225000

=> 10/100×225000

=> 22500

New cost = 225000-22500

=> 202500

Ans :- The cost of machine after 2 years is Rs. 202500

Answer 2

$\huge \underline \mathfrak {Solution:-}$

Cost of machine (P) = 250000 rupees

It will be depreciated for two years at 10% per year.

Time = 2 years

Rate of depreciation = 10 %

Amount

$= P {(1 - \frac{Rate}{100}) }^{Time} \\ \\ = 250000 {( 1-\frac{10}{100}) }^{2} \\ \\ = 250000 {( 1- 0.1) }^{2} \\ \\ = 250000 \times {0.9}^{2} \\ \\ =202500$

After 2 years it's cost will be 202500 rupees.

Depreciation = (250000-202500) rupees

Depreciation = 47500 rupees