Question

2. The value of machinery depreciates at the rate of 15% per annum. What will be its value after 3 years, if its present value is 4,40,000?
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Answer 1

Given :

Present value of a machinery : ₹440000

Rate of depression : 15%

To find :

The value of machinery after 3 years.

Solution :

Value of the car (after 3 years) :

$\sf \dashrightarrow Present \: value \bigg(1 - \dfrac{Rate}{100} \bigg)^{Time}$

$\sf \dashrightarrow 440000 \bigg(1 - \dfrac{15}{100} \bigg)^{3}$

$\sf \dashrightarrow 440000 \bigg(1 - \dfrac{3}{20} \bigg)^{3}$

$\sf \dashrightarrow 440000 \bigg( \dfrac{20 - 3}{20} \bigg)^{3}$

$\sf \dashrightarrow 440000 \bigg( \dfrac{17}{20} \bigg)^{3}$

$\sf \dashrightarrow 440000 \bigg( \dfrac{{17}^{3}}{{20}^{3}} \bigg)$

$\sf \dashrightarrow 440000 \bigg( \dfrac{4913}{8000} \bigg)$

$\sf \dashrightarrow 440 \bigg( \dfrac{4913}{8} \bigg)$

$\sf \dashrightarrow \dfrac{440 \times 4913}{8} = \dfrac{2161720}{8}$

$\sf \dashrightarrow \cancel \dfrac{2161720}{8} = 270215$

Hence, the value of car after 3 years will be ₹270215.

Answer 2

Question:-

The value of machinery depreciates at the rate of 15% per annum. What will be its value after 3 years, if its present value is 4,40,000?

Required Answer:-

Given:-

• Value of the machinery depreciates at the rate of 15% per annum
• Present value of the machinery = 4,40,000

To Find:-

• Value of the machinery after 3 years.

Solution:-

We know that:-

• Decreased value = Initial value (1 - Rate/100) ^Time

We have:-

• Initial value = 4,40,000
• Rate = 15%
• Time = 3 years

Substituting the value:-

• Decreased value = 4,40,000( 1 - 15/100)^3

• => Decreased value = 4,40,000 ( 1 - 0.15)^3

• => Decreased value = 4,40,000 x 0.85^3

• => Decreased value = 4,40,000 x 0.614125

• => Decreased value = 2,70,215

Hence, the value of the machinery after 3 years will be 2,70,215