On reducing the value of a chair by `6%` it become ₹ 658. The original value of the chair is

Options

A. `₹750`
B. `₹720`
C. `₹500`
D. `₹700`

Answer

To find the original value of the chair before the reduction of 6%, we can follow these steps:

### Step-by-Step Solution:

1. **Let the Original Value be x**:
We start by letting the original value of the chair be \( x \).

2. **Set Up the Equation**:
Since the chair's value is reduced by 6%, the new value becomes:
\[ x - \frac{6}{100} \times x = 658 \]
This can be simplified to:
\[ x \left(1 - \frac{6}{100}\right) = 658 \]
Which simplifies further to:
\[ x \left(\frac{94}{100}\right) = 658 \]

3. **Solve for x**:
To isolate \( x \), we can multiply both sides of the equation by \( \frac{100}{94} \):
\[ x = 658 \times \frac{100}{94} \]

4. **Calculate the Value**:
Now, we can perform the multiplication:
\[ x = 658 \times \frac{100}{94} = \frac{65800}{94} \]

5. **Perform the Division**:
Now, we divide \( 65800 \) by \( 94 \):
\[ x = 700 \]

6. **Conclusion**:
Therefore, the original value of the chair is \( \text{₹} 700 \).