Question

the cost of a car is 80000 and it depreciates at the rate of 2% annually. what will be its cost after 2 years?

Answer 1

$\sf\huge{\underline{\mathrm{Question}}}$

The cost of a car is 80000 and it depreciates at the rate of 2% annually. what will be its cost after 2 years?

$\sf\huge{\underline{\mathrm{Solution}}}$

$\sf\implies$ cost of car(P) = 80,000 Rs.

$\sf\implies$ depreciation rate(r) = 2 % / years.

$\sf\implies$ years(t) = 2 years .

$\sf\implies P_{c}=?$

Using Formulas ;

$\sf\implies P_{c} = P\times(1-\frac{r}{100})^t$

$\sf\implies P_{c} = 80,000\times(1-\frac{2}{100})^2$

$\sf\implies P_{c} = 80,000\times(\frac{98}{100})^2$

$\sf\implies P_{c} = 8\cancel{0000}\times(\frac{98}{\cancel{100}})\times(\frac{98}{\cancel{100}})$

$\sf\implies P_{c} = 8\times98\times98$

$\sf\implies\boxed{ \red{\large{P_{c} = 76,832\:Rs}}}$

$\sf\therefore\text{ The cost of the car will be = 76,832 Rs}$