Answer :
Certainly! Let's break down the problem step by step to find the value of the motorcycle at the end of each year when it is depreciated according to the given rates.
1. Initial Value: The motorcycle is initially bought for Rs. 284,000.
2. First Year Depreciation:
- Depreciation rate: 15%
- Calculation:
[tex]\[ \text{Value after first year} = \text{Initial Value} \times (1 - \text{Depreciation Rate}) \][/tex]
Plugging in the values:
[tex]\[ \text{Value after first year} = 284,000 \times (1 - 0.15) \][/tex]
Calculating further:
[tex]\[ \text{Value after first year} = 284,000 \times 0.85 = 241,400 \][/tex]
3. Second Year Depreciation:
- Depreciation rate: 20%
- Calculation:
[tex]\[ \text{Value after second year} = \text{Value after first year} \times (1 - \text{Depreciation Rate}) \][/tex]
Plugging in the values:
[tex]\[ \text{Value after second year} = 241,400 \times (1 - 0.20) \][/tex]
Calculating further:
[tex]\[ \text{Value after second year} = 241,400 \times 0.80 = 193,120 \][/tex]
4. Third Year Depreciation:
- Depreciation rate: 25%
- Calculation:
[tex]\[ \text{Value after third year} = \text{Value after second year} \times (1 - \text{Depreciation Rate}) \][/tex]
Plugging in the values:
[tex]\[ \text{Value after third year} = 193,120 \times (1 - 0.25) \][/tex]
Calculating further:
[tex]\[ \text{Value after third year} = 193,120 \times 0.75 = 144,840 \][/tex]
So, the values of the motorcycle at the end of each year, after applying the respective depreciation rates, are:
- After the 1st year: Rs. 241,400
- After the 2nd year: Rs. 193,120
- After the 3rd year: Rs. 144,840
These are the depreciated values of the motorcycle at the end of each year.
1. Initial Value: The motorcycle is initially bought for Rs. 284,000.
2. First Year Depreciation:
- Depreciation rate: 15%
- Calculation:
[tex]\[ \text{Value after first year} = \text{Initial Value} \times (1 - \text{Depreciation Rate}) \][/tex]
Plugging in the values:
[tex]\[ \text{Value after first year} = 284,000 \times (1 - 0.15) \][/tex]
Calculating further:
[tex]\[ \text{Value after first year} = 284,000 \times 0.85 = 241,400 \][/tex]
3. Second Year Depreciation:
- Depreciation rate: 20%
- Calculation:
[tex]\[ \text{Value after second year} = \text{Value after first year} \times (1 - \text{Depreciation Rate}) \][/tex]
Plugging in the values:
[tex]\[ \text{Value after second year} = 241,400 \times (1 - 0.20) \][/tex]
Calculating further:
[tex]\[ \text{Value after second year} = 241,400 \times 0.80 = 193,120 \][/tex]
4. Third Year Depreciation:
- Depreciation rate: 25%
- Calculation:
[tex]\[ \text{Value after third year} = \text{Value after second year} \times (1 - \text{Depreciation Rate}) \][/tex]
Plugging in the values:
[tex]\[ \text{Value after third year} = 193,120 \times (1 - 0.25) \][/tex]
Calculating further:
[tex]\[ \text{Value after third year} = 193,120 \times 0.75 = 144,840 \][/tex]
So, the values of the motorcycle at the end of each year, after applying the respective depreciation rates, are:
- After the 1st year: Rs. 241,400
- After the 2nd year: Rs. 193,120
- After the 3rd year: Rs. 144,840
These are the depreciated values of the motorcycle at the end of each year.
