Question

The value of a car depreciates @ 10% per annum it was purchased 3 year ago if its present value is 36 4500 for how much was it purchased

Answer 1

The purchased value of the car is Rs 5,00,000

Explanation:

The present value of an object that depreciates by rate r after t years is given by :

$P=A(1-\dfrac{r}{100})^t$

, where A = Purchased value

As per given , we have

A = Rs 364,500

r= 10% per annum

t= 3 year

Put all values in formula , we get

$364500=A(1-\dfrac{10}{100})^3$

$364500=A(0.9)^3$

$364500=A(0.9)^3$

$A=\dfrac{364500}{0.729}=500000$

Hence, the purchased value of the car is Rs 5,00,000.

# Learn more :

The value of a car depreciates 10% every year . What will be the value of the car after 2 years if its present value is ₹80,000?

https://brainly.in/question/7574120

Answer 2

Step-by-step explanation:

The purchased value of the car is Rs 5,00,000

Explanation:

The present value of an object that depreciates by rate r after t years is given by :

P=A(1-\dfrac{r}{100})^tP=A(1−100r)t

, where A = Purchased value

As per given , we have

A = Rs 364,500

r= 10% per annum

t= 3 year

Put all values in formula , we get

364500=A(1-\dfrac{10}{100})^3364500=A(1−10010)3

364500=A(0.9)^3364500=A(0.9)3

364500=A(0.9)^3364500=A(0.9)3

A=\dfrac{364500}{0.729}=500000A=0.729364500=500000

Hence, the purchased value of the car is Rs 5,00,000.

# Learn more :

The value of a car depreciates 10% every year . What will be the value of the car after 2 years if its present value is ₹80,000?

https://brainly.in/question/7574120