The value of a machine depreciates every year by 10%. If its present value is Rs 50.000 then the value of the machine after 2 years is _____
एक मशीन की कीमत हर वर्ष 10% घट जाती है। तदनुसार, यदि उसकी वर्तमान कीमत 50,000 हो, तो दो वर्षों बाद उस मशीन की कीमत कितनी रह जाएगी?

Options

A. A)Rs 45,000
B. B)Rs 40,005
C. C)Rs 40,500
D. D)Rs 40,050

Explanation

To find the value of the machine after 2 years, given that it depreciates by 10% every year, we can follow these steps:

### Step 1: Identify the present value and the depreciation rate
- The present value of the machine is Rs. 50,000.
- The depreciation rate is 10% per year.

### Step 2: Calculate the value after the first year
To find the value after the first year, we can use the formula:
\[ \text{Value after 1 year} = \text{Present Value} \times (1 - \text{Depreciation Rate}) \]

Substituting the values:
\[ \text{Value after 1 year} = 50,000 \times (1 - 0.10) \]
\[ \text{Value after 1 year} = 50,000 \times 0.90 \]
\[ \text{Value after 1 year} = 45,000 \]

### Step 3: Calculate the value after the second year
Now, we will calculate the value after the second year using the value we just found:
\[ \text{Value after 2 years} = \text{Value after 1 year} \times (1 - \text{Depreciation Rate}) \]

Substituting the values:
\[ \text{Value after 2 years} = 45,000 \times (1 - 0.10) \]
\[ \text{Value after 2 years} = 45,000 \times 0.90 \]
\[ \text{Value after 2 years} = 40,500 \]

### Final Answer
The value of the machine after 2 years is Rs. 40,500.

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