the value of a machine depreciates 10% every year if its present value is ₹387000 what was its value 1 year ago

Answer

To find the value of the machine one year ago, we need to understand that the current value of the machine is ₹387,000, which represents 90% of its value from one year ago due to a depreciation of 10%.

Let's denote the value of the machine one year ago as \( x \).

### Step-by-Step Solution:

1. **Understand the Depreciation**:
The machine depreciates by 10% each year. This means that after one year, the value of the machine is 90% of its previous value.
\[ \text{Current Value} = 90\% \text{ of Previous Value} \]
In mathematical terms, this can be expressed as:
\[ \text{Current Value} = 0.9 \times x \]

2. **Set Up the Equation**:
Given that the current value is ₹387,000, we can set up the equation:
\[ 0.9x = 387000 \]

3. **Solve for \( x \)**:
To find \( x \), we need to divide both sides of the equation by 0.9:
\[ x = \frac{387000}{0.9} \]

4. **Calculate \( x \)**:
Performing the division:
\[ x = 430000 \]

5. **Conclusion**:
Therefore, the value of the machine one year ago was ₹430,000.

### Final Answer:
The value of the machine one year ago was ₹430,000.