Question

The value of a car depreciates 20% every year. If after two years, the price of a car is 420000, find the original price of the car?​

Answer 1

Answer:

$656250$

Step-by-step explanation:

Given data,

• The value of a car depreciates $20$% every year.

• The price of the car after two years is $420000$.

• Let the price of the car one year ago be $x$.

According to the given data,

$x-x\times\frac{20}{100}=420000$

$\Rightarrow x-\frac{x}{5}=420000$

$\Rightarrow \frac{4x}{5}=420000$

$\Rightarrow x=525000$

• Let the original price of the car be $y$

$y-y\times\frac{20}{100} =525000$

$\Rightarrow y-y\times\frac{20}{100}=525000$

$\Rightarrow y-\frac{y}{5}=525000$

$\Rightarrow \frac{4y}{5} =525000$

$\Rightarrow y=656250$

Hence, the original price of the car is $656250$.

Answer 2

Answer:

$656250$

Step-by-step explanation:

Given,

• The value of a car depreciates $20$% every year.

• The price of the car after two years $=420000$

• Let the original price of the car be $x$

• Then the price of the car after one year

$=x-x\times\frac{20}{100}$

$=x-\frac{x}{5}$

$=\frac{4x}{5}$

• Now, the price of the car after two years

$=\frac{4x}{5}-\frac{4x}{5}\times\frac{20}{100}$

$=\frac{4x}{5}-\frac{4x}{25}$

$=\frac{20x-4x}{25}$

$=\frac{16x}{25}$

• According to the given data

$\frac{16x}{25} =420000$

$\Rightarrow x=656250$

Hence, the original price of the car is $656250$.