The cost of a machine is rupees 2,50,000, it depreciates at the rate of 4%per annum. Find the cost of the machine after 3 years.
Answers
Answer:
Given:
The cost of a machine is Rs.250000. It depreciates at the rate of 4% per annum.
The cost of the machine after 3 years.
\bf{\Large{\underline{\sf{\green{Explanation\::}}}}}
Explanation:
Therefore,
\longmapsto\tt{A\:=\:P(1\:+\:\frac{R}{100} )^{n} }⟼A=P(1+
100
R
)
n
\longmapsto\tt{A\:=\:250000\:(1\:-\cancel{\frac{4}{100}} )^{3} }⟼A=250000(1−
100
4
)
3
\longmapsto\tt{A\:=\:250000\:(1-\frac{1}{25} )^{3} }⟼A=250000(1−
25
1
)
3
\longmapsto\tt{A\:=\:250000\:(\frac{25-1}{25} )^{3} }⟼A=250000(
25
25−1
)
3
\longmapsto\tt{A\:=\:250000*\frac{24}{25} *\frac{24}{25} *\frac{24}{25}}⟼A=250000∗
25
24
∗
25
24
∗
25
24
\longmapsto\tt{A\:=\:\cancel{250000}*\frac{24}{\cancel{25}} *\frac{24}{\cancel{25}} *\frac{24}{\cancel{25}}}⟼A=
250000
∗
25
24
∗
25
24
∗
25
24
\longmapsto\tt{A\:=\:Rs.(16*24*24*24)}⟼A=Rs.(16∗24∗24∗24)
\longmapsto\tt{\pink{A\:=\:Rs.221184}}⟼A=Rs.221184
Thus,
The cost of machine after 3 years is Rs.221184.
Answer:
Rs-2,80,000
Step-by-step explanation:
i hope you got your answer.
have a nice day.
