Question

the cost price of a machine is 250000 if the rate of depreciation is 10/per year find the depreciation in price of the machine after two years

Answer 1

Answer:  

⇒ Depreciation in price = Rs. 50000

Step-by-step explanation:

Cost price of the machine is given to be Rs. 250000

Rate of depreciation per year is given to be 10%

We need to find the depreciation in price after 2 years

⇒ Total rate of depreciation = 2 × 10 = 20%

Now, Depreciation in price = 20% of Cost price of a machine

⇒ Depreciation in price = 0.20 × 250000

⇒ Depreciation in price = Rs. 50000

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