By selling a table for Rs 3,906, a trader incurs a loss of Rs 294. What is his loss percentage ?

Options

A. 0.07
B. 0.0823
C. 0.0814
D. 0.075

Answer

To find the loss percentage incurred by the trader when selling a table, we can follow these steps:

### Step 1: Identify the Selling Price (SP) and Loss
- The selling price of the table (SP) is given as Rs 3,906.
- The loss incurred is Rs 294.

### Step 2: Calculate the Cost Price (CP)
- The cost price (CP) can be calculated using the formula:
\[ CP = SP + \text{Loss} \]
- Substituting the values:
\[ CP = 3906 + 294 = 4200 \]

### Step 3: Calculate the Loss Percentage
- The formula for loss percentage is:
\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{CP} \right) \times 100 \]
- Substituting the values:
\[ \text{Loss Percentage} = \left( \frac{294}{4200} \right) \times 100 \]

### Step 4: Simplify the Calculation
- First, calculate the fraction:
\[ \frac{294}{4200} = 0.07 \]
- Now multiply by 100 to get the percentage:
\[ \text{Loss Percentage} = 0.07 \times 100 = 7\% \]

### Conclusion
- The loss percentage incurred by the trader is **7%**.