The value of a machine depeciates every year by 10 % . If the present value of the machine by Rs. 99000. what was its value last year ?

Answer

To find the value of the machine last year, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Depreciation**: The machine depreciates by 10% every year. This means that the value of the machine at the end of the year is 90% of its value at the beginning of the year.

2. **Let Last Year's Value be X**: We denote the value of the machine last year as \( X \).

3. **Calculate Present Value**: Since the machine depreciates by 10%, the present value (which is given as Rs. 99000) can be expressed in terms of \( X \):
\[ \text{Present Value} = X - (10\% \text{ of } X) = X - \frac{10}{100} \times X = \frac{90}{100} \times X = 0.9X \]

4. **Set Up the Equation**: We know from the problem that the present value is Rs. 99000, so we can set up the equation:
\[ 0.9X = 99000 \]

5. **Solve for X**: To find \( X \), we can divide both sides of the equation by 0.9:
\[ X = \frac{99000}{0.9} \]

6. **Calculate X**: Performing the division:
\[ X = 110000 \]

7. **Conclusion**: Therefore, the value of the machine last year was Rs. 110000.