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
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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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