By selling a table for Rs. 330, a trader gains 10%. Find the cost price of the table.

Options

A. 300
B. 363
C. 297
D. 270

Answer

To find the cost price of the table when it is sold for Rs. 330 with a gain of 10%, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Selling Price (SP) and Gain Percentage**:
- The selling price (SP) of the table is given as Rs. 330.
- The gain percentage is given as 10%.

2. **Use the Formula for Cost Price (CP)**:
- The formula to calculate the cost price (CP) when the selling price and gain percentage are known is:
\[ CP = \frac{SP \times 100}{100 + \text{Gain Percentage}} \]

3. **Substitute the Values into the Formula**:
- Substitute SP = 330 and Gain Percentage = 10 into the formula:
\[ CP = \frac{330 \times 100}{100 + 10} \]
\[ CP = \frac{330 \times 100}{110} \]

4. **Calculate the Cost Price**:
- Now, calculate the value:
\[ CP = \frac{33000}{110} \]
\[ CP = 300 \]

5. **Conclusion**:
- The cost price of the table is Rs. 300.

### Final Answer:
The cost price of the table is Rs. 300.

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