A shopkeeper purchases a table and sells it for Rs. 4200. If he incurs a loss of 20%, find the cost price of table.

Options

A. Rs.5200
B. Rs.5052
C. Rs.5150
D. Rs.5250

Answer

To find the cost price of the table when the selling price and the loss percentage are given, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values**:
- Selling Price (SP) = Rs. 4200
- Loss Percentage = 20%

2. **Understand the relationship between Selling Price, Cost Price, and Loss**:
- When there is a loss, the Selling Price is less than the Cost Price. The relationship can be expressed as:
\[ SP = CP \times \left(1 - \frac{\text{Loss Percentage}}{100}\right) \]

3. **Rearranging the formula to find Cost Price (CP)**:
- We can rearrange the formula to solve for CP:
\[ CP = \frac{SP}{1 - \frac{\text{Loss Percentage}}{100}} \]

4. **Substituting the values into the formula**:
- Substitute SP = 4200 and Loss Percentage = 20% into the formula:
\[ CP = \frac{4200}{1 - \frac{20}{100}} = \frac{4200}{1 - 0.20} = \frac{4200}{0.80} \]

5. **Calculating the Cost Price**:
- Now, calculate the value:
\[ CP = \frac{4200}{0.80} = \frac{4200 \times 100}{80} = \frac{420000}{80} \]
- Simplifying this:
\[ CP = 5250 \]

6. **Conclusion**:
- Therefore, the Cost Price of the table is Rs. 5250.

### Final Answer:
The cost price of the table is Rs. 5250.

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