Question

The cost of a machine is 250,000.t depreciates at the rate of 4 per annum, and the cost of machine after three years.

step by step explanation ​

Answer 1

Answer:

Given :-

• The cost of a machine is Rs 250000. It depreciates at the rate of 4% per annum.

To Find :-

• What is the cost or amount after 3 years.

Formula Used :-

${\purple{\boxed{\large{\bold{A =\: P\bigg(1 - \dfrac{r}{100}\bigg)^{n}}}}}}$

where,

• A = Amount
• P = Principal
• r = Rate of Interest
• n = Time

Solution :-

Given :-

• Principal (P) = Rs 250000
• Rate of Interest (r) = 4%
• Time (n) = 3 years

According to the question by using the formula we get,

⇒ $\sf A =\: 250000\bigg(1 - \dfrac{4}{100}\bigg)^{3}$

⇒ $\sf A =\: 250000\bigg(\dfrac{100 - 4}{100}\bigg)^{3}$

⇒ $\sf A =\: 250000\bigg(\dfrac{96}{100}\bigg)^{3}$

⇒ $\sf A =\: 25{\cancel{0000}} \times \dfrac{96}{\cancel{100}} \times \dfrac{96}{\cancel{100}} \times \dfrac{96}{100}$

⇒ $\sf A =\: \dfrac{22118400}{100}$

⇒ $\sf A =\: \dfrac{\cancel{22118400}}{\cancel{100}}$

➠ $\large\bf{\underbrace{\red{A =\: Rs\: 221184}}}$

$\therefore$ The cost of machine after 3 years is Rs 221184 .