Question : A two-wheeler depreciates by 20% of its value every year. If the present value of the same is Rs. 90,000, its depreciated value would be Rs. 36,864 after:
Option 1: 6 years
Option 2: 5 years
Option 3: 4 years
Option 4: 3 years
Correct Answer: 4 years
Solution :
Let the required year be n.
The required equation is:-
90000 × $(\frac{80}{100})$
n
= 36864
⇒ 90000 × (0.8)
n
= 36864
⇒ (0.8)
n
=$\frac{36864}{90000}$
⇒ (0.8)
n
= 0.4096
⇒ (0.8)
n
= (0.8)
4
⇒ n = 4
So, the depreciated value would be Rs. 36,864 after 4 years.
Hence, the correct answer is 4 years.
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