Question

cost of a refrigerator is 9000. Its value depreciates at the rate of 5% every year. Find the total depreciation in its value at the end of 2 years.​

Answer 1

Question :

cost of a refrigerator is 9000. Its value depreciates at the rate of 5% every year. Find the total depreciation in its value at the end of 2 years.

Answer :

$\sf\pink{Given:}$

• Cost of refrigerator is 9000 .

• Rate of depreciation is 5% every year.

$\sf\pink{To\:find:}$

• Rate after two years ?

Explanation :

Amount after 1 year =

$\\ \longrightarrow\sf{9000 - \dfrac{5}{100}\times 9000}$

$\\ \longrightarrow\sf{9000 - 5\times 90}$

$\\ \longrightarrow\sf{9000 - 450}$

$\\ \longrightarrow\sf{8550}$

• Therefore its cost after 1 year is 8550

Amount after 2 year =

$\\ \longrightarrow\sf{8550 - \dfrac{5}{100}\times 8550}$

$\\ \longrightarrow\sf{8550 - \dfrac{5}{10}\times 855}$

$\\ \longrightarrow\sf{8550 - \dfrac{1}{2}\times 855}$

$\\ \longrightarrow\sf{8550 - \dfrac{855}{2}}$

$\\ \longrightarrow\sf{8550 - 427.5}$

$\\ \longrightarrow\sf{8122.5}$

• Therefore its cost after 2 years is 8122.5