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A car costs Rs. 16,50,000 when new. Calculate its value after 2 years of operation considering 25% annual depreciation.

A. Rs. 9,25,125
B. Rs. 9,38,325
C. Rs. 9,48,432.50
D. Rs. 9,28,125

Sagot :

GinnyAnsweridn
To determine the value of the car after 2 years of operation, considering a 25% annual depreciation, we can follow these steps:

1. Identify the original price of the car:
- The original price is Rs. 16,50,000.

2. Determine the annual depreciation rate:
- The depreciation rate is 25%. This means that each year the car loses 25% of its value.

3. Calculate the car's value after the first year:
- After one year, the car's value will be reduced by 25%.
- The remaining value after one year will be 75% of the original value.
- Value after 1 year = Original Price × (1 - Depreciation Rate)
- Value after 1 year = 16,50,000 × (1 - 0.25)
- Value after 1 year = 16,50,000 × 0.75
- Value after 1 year = 12,37,500

4. Calculate the car's value after the second year:
- After the second year, the car's value will again be reduced by 25% of the value after the first year.
- The remaining value after the second year will be 75% of the value after the first year.
- Value after 2 years = Value after 1 year × (1 - Depreciation Rate)
- Value after 2 years = 12,37,500 × (1 - 0.25)
- Value after 2 years = 12,37,500 × 0.75
- Value after 2 years = 9,28,125

Therefore, the value of the car after 2 years, considering a 25% annual depreciation, is Rs. 9,28,125.

Thus, the correct answer is d. Rs. 9,28,125.
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