Question

If a car was bought for Rs 4,42,000and its value depreciated at the rate of 5 %. Find its price after 2 years.

Answer 1

Answer:

3,97,800

Step-by-step explanation:

Price of Car when bought = 4,42,000

Percentage of depreciation = 5%

5/100 of 4,42,000 = 22,100 p.a.

Change of Value over 2 years = 22,100 x 2 = 44,200

Value of car after 2 years = 4,42,000 - 44,200 = 3,97,800

Answer 2

Given :

Cost price of the car : ₹442000

Rate of depreciation : 5%

Time : 2 years

To find :

The cost of the car after 2 years.

Solution :

First, we should find the value of the car, 1 year later.

Cost of the car (1 year later) :

$\sf \dashrightarrow 442000 - 5\% \: of \: 442000$

$\sf \dashrightarrow 442000 - \dfrac{5}{100} \times 442000$

$\sf \dashrightarrow 442000 - \dfrac{5}{100} \times 442000$

$\sf \dashrightarrow 442000 - \dfrac{1}{20} \times 442000$

$\sf \dashrightarrow 442000 - \dfrac{442000}{20}$

$\sf \dashrightarrow 442000 - 22100$

$\dashrightarrow$₹$\sf 419900$

Cost of the car (2 years later) :

$\sf \dashrightarrow 419900 - 5\% \: of \: 419900$

$\sf \dashrightarrow 419900 - \dfrac{5}{100} \times 419900$

$\sf \dashrightarrow 419900 - \dfrac{5}{100} \times 419900$

$\sf \dashrightarrow 419900 - \dfrac{1}{20} \times 419900$

$\sf \dashrightarrow 419900 - \dfrac{419900}{20}$

$\sf \dashrightarrow 419900 - 20995$

$\dashrightarrow$₹$\sf 398905$

Hence, the cost of the car, 2 years later is ₹398905.