The initial value of a car is ₹450000. The value of car depreciates by 40 percent each year. What will be its value after 2 years?

Correct option is A

​Given:

Initial value of car = ₹450000
Depreciation = 40% 
Time = 2 years

Concept Used:

Successive depreciation using unitary method (ratio method)

Solution:

40% = $$-\frac{2}{5}$$ = $$\frac{3}{5}$$​

Let initial value be divided into units:
After 1st year → Value = 5 : 3
Apply same for 2nd year → 5 : 3

According to the question, 25 units= ₹450000

​$$\Rightarrow 9 \text{ units} = \frac{450000}{25} \times 9 = ₹162000$$​​

Thus, the correct option is (a) ₹162000