Question

The cost of a machine is 3,50,00. It depreciates at the rate of 4% per annum. Find the cost of the machine after 3 years​

Answer 1

Given :

The cost of a machine is Rs.3,50,00. It depreciates at the rate of 4% per annum.

To find :

• The cost of the machine after 3 years.

Solution :

• Cost of a machinery = Rs.350000
• Rate of depreciation = 4%
• Time = 3 years

Calculation of depreciation

→ 35000 × 4/100 × 3

→ 350 × 4 × 3

→ 350 × 12

→ Rs.4200

•°• Depreciation for 3 years = Rs.

4200

The cost of machinery after 3 years

→ Cost of machinery - depreciation for 3 years

→ Rs.35000 - Rs.4200

→ Rs.30800

•°• The cost of machinery after three years = Rs.30800

________________________________

Answer 2

Question :-

→ The cost of a machine is 3,50,00. It depreciates at the rate of 4% per annum. Find the cost of the machine after 3 years​

Given :-

→ Cost of the machine (P) = Rs. 3,50,00

→ Rate of depreciation (R) = 4 %

→ N = 3 years

→ A = Depreciated price of the machine

To Find :-

→  The cost of the machine after 3 years​

Solution :-

→ Let's find out !!

→ As we know that ,

${\huge{\boxed{\underline{A = P \bigg\{ 1 + \dfrac{R}{100} \bigg\}^{n} }}}}$

$\sf \longrightarrow 35000 \bigg\{ 1 + \dfrac{(-4)}{100}\bigg\}^{3} \\\\\\\longrightarrow 35000 \bigg\{ 1 - \dfrac{4}{100}\bigg\}^{3} \\\\\\\longrightarrow 35000 \bigg\{ \dfrac{100-4}{100}\bigg\}^{3} \\\\\\\longrightarrow 35000 \bigg\{ \dfrac{96}{100}\bigg\}^{3} \\\\\\\longrightarrow 35000 \bigg\{\dfrac{24\times4}{25\times4}\bigg\}^{3} \\\\\\\longrightarrow 35000 \bigg\{\dfrac{24}{25}\bigg\}^{3} \\\\\\\longrightarrow 35000 \times \dfrac{24}{25} \times \dfrac{24}{25} \times \dfrac{24}{25}$

$\sf \longrightarrow Rs. \; 30800$

∴ The cost of the machine after 3 years will be Rs. 30800​