A bike costs Rs. 96,000. Its value depreciates by 30% in the first year and in each subsequent year the depreciation is 20% of the value at the beginning of that year. The value of the bike after 3 years will be

- The initial value of the bike is Rs. 96,000. - In the first year, the value depreciates by 30%. The value at the end of the first year is $96,000 \times (1 - second year, the depreciation is 20% of the value at the beginning of the year (Rs. 67,200). The value at the end of the second year is $67,200 \times (1 - year, the depreciation is 20% of the value at the beginning of the year (Rs. 53,760). The value at the end of the third year is $53,760 \times (1 - 0.20) = 53,760 \times 0.80$. - Calculation: $53760 \times 0.8 = 5376 \times 8$. $5376 \times 8 = (5000 + 300 + 70 + 6) \times 8 = 40000 + 2400 + 560 + 48 = 43008$. - The value of the bike after 3 years will be Rs. 43,008.