On selling a table for Rs. 1974, Ramesh loses 6% . For how much did he puchase it?

Options

A. Rs 1200
B. Rs 2500
C. Rs 1300
D. Rs 2100

Answer

To find out how much Ramesh purchased the table for, we can use the formula relating the selling price (SP), cost price (CP), and loss percentage.

### Step-by-Step Solution:

1. **Identify the given values:**
- Selling Price (SP) = Rs. 1974
- Loss Percentage = 6%

2. **Understand the relationship between SP, CP, and Loss Percentage:**
- When there is a loss, the relationship can be expressed as:
\[ CP = \frac{100}{100 - \text{Loss Percentage}} \times SP \]

3. **Substitute the values into the formula:**
- Loss Percentage = 6%
- Therefore, we have:
\[ CP = \frac{100}{100 - 6} \times 1974 \]

4. **Calculate the denominator:**
- \(100 - 6 = 94\)

5. **Substitute this back into the equation:**
- Now we have:
\[ CP = \frac{100}{94} \times 1974 \]

6. **Calculate the multiplication:**
- First, calculate \(100 \times 1974 = 197400\)
- Now we need to divide this by 94:
\[ CP = \frac{197400}{94} \]

7. **Perform the division:**
- \(197400 \div 94 = 2100\)

8. **Conclusion:**
- Therefore, the Cost Price (CP) of the table is Rs. 2100.

### Final Answer:
Ramesh purchased the table for Rs. 2100.

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