Mukesh sold a table for Rs. 1840 at a loss of 8%. At what price did he purchase it?

Answer

To find the cost price (CP) of the table that Mukesh sold for Rs. 1840 at a loss of 8%, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Given Information:**
- Selling Price (SP) = Rs. 1840
- Loss Percentage = 8%

2. **Let the Cost Price (CP) be Rs. X.**

3. **Calculate the Loss:**
- Loss Percentage formula:
\[ \text{Loss Percentage} = \frac{\text{Loss}}{\text{CP}} \times 100 \]
- From the problem, we know:
\[ 8 = \frac{\text{Loss}}{X} \times 100 \]
- Rearranging gives:
\[ \text{Loss} = \frac{8X}{100} = \frac{2X}{25} \]

4. **Relate Loss to Selling Price and Cost Price:**
- Since loss is defined as:
\[ \text{Loss} = \text{CP} - \text{SP} \]
- We can substitute the values:
\[ \frac{2X}{25} = X - 1840 \]

5. **Solve for X:**
- Rearranging the equation:
\[ \frac{2X}{25} + 1840 = X \]
- Multiply through by 25 to eliminate the fraction:
\[ 2X + 1840 \times 25 = 25X \]
- Calculate \(1840 \times 25\):
\[ 1840 \times 25 = 46000 \]
- Now the equation becomes:
\[ 2X + 46000 = 25X \]
- Rearranging gives:
\[ 46000 = 25X - 2X \]
\[ 46000 = 23X \]
- Now, divide both sides by 23:
\[ X = \frac{46000}{23} \]

6. **Calculate the Value of X:**
- Performing the division:
\[ X = 2000 \]

7. **Conclusion:**
- Therefore, the Cost Price (CP) of the table is Rs. 2000.

### Final Answer:
The cost price of the table is Rs. 2000.