The price of a car is Rs. 2,50,000. In the first year, its value depreciates by 10%, and in the second year, it depreciates by 15%. What will be the value of the car after 2 years?

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SSC GD Constable (2022) Official Paper (Held On : 24 Jan 2023 Shift 1)
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  1. Rs. 1,91,250
  2. Rs. 1,85,670
  3. Rs. 1,75,000
  4. Rs. 1,90,300

Answer (Detailed Solution Below)

Option 1 : Rs. 1,91,250
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Detailed Solution

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Given Data:

Initial price = Rs. 2,50,000

First year depreciation = 10%

Second year depreciation = 15%

Concept:

Final Value = Initial Value × (1 - Depreciation Rate)n

Calculation:

Value after first year = Initial Price × (1 - First Year Depreciation Rate)

⇒ Value = 2,50,000 × (1 - 10/100) = Rs. 2,25,000

Value after second year = Value after First Year × (1 - Second Year Depreciation Rate)

⇒ Value = 2,25,000 × (1 - 15/100) = Rs. 1,91,250

Hence, the value of the car after 2 years will be Rs. 1,91,250.

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