Question

the cost of a machine is 250000 it depreciates at the rate of 4% per annum find the cost of the machine after 3 years​

Answer 1

Answer:

Rs.2,21,184

Step-by-step explanation:

$given$

Present cost = rs. 2,50,000

Rate of depreciation = 4%

Time = 3 years

The present cost is the principal (p)

The depreciation rate is the rate (r)

The number of years is the time (n)

Formula for finding depreciated value= p(1 - r/100)^n

So by using the formula we get

=2,50,000( 1 - 4/100)^3

=2,50,000(96/100)^3

=2,50,000×96×96×96/100×100×100

=rs. 2,21,184

So the cost of the machine after three years at depreciation value of 4% is Rs. 2,21,184

Answer 2

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

Cost of machine (P) = 250000 rupees

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

Time = 3 years

Rate of depreciation = 4 %

Amount

$= P {(1 - \frac{Rate}{100}) }^{Time} \\ \\ = 250000 {( 1-\frac{4}{100}) }^{3} \\ \\ = 250000 {( 1- 0.04) }^{3} \\ \\ = 250000 \times {0.96}^{3} \\ \\ =221184$

After 3 years it's cost will be 221184 rupees.

Depreciation = (250000-221184) rupees

Depreciation = 28816 rupees