Selling price of a table is Rs 2808. If profit percentage is 17%, then what is the cost price (in Rs) of table?

Options

A. 2288
B. 2300
C. 2400
D. 3285

Answer

To find the cost price (CP) of the table given the selling price (SP) and profit percentage, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the given values:**
- Selling Price (SP) = Rs 2808
- Profit Percentage = 17%

2. **Understand the relationship between Selling Price, Cost Price, and Profit:**
- Profit can be expressed as a percentage of the Cost Price (CP). The formula for profit is:
\[ \text{Profit} = \text{SP} - \text{CP} \]
- Profit can also be calculated using the profit percentage:
\[ \text{Profit} = \frac{\text{Profit Percentage}}{100} \times \text{CP} \]
- Therefore, we can set up the equation:
\[ \text{SP} = \text{CP} + \frac{17}{100} \times \text{CP} \]

3. **Combine the terms:**
- We can factor out CP from the right side:
\[ \text{SP} = \text{CP} \left(1 + \frac{17}{100}\right) \]
- This simplifies to:
\[ \text{SP} = \text{CP} \left(\frac{100 + 17}{100}\right) = \text{CP} \left(\frac{117}{100}\right) \]

4. **Rearranging the equation to find CP:**
- Now, we can express CP in terms of SP:
\[ \text{CP} = \text{SP} \times \frac{100}{117} \]

5. **Substituting the value of SP:**
- Substitute SP = 2808 into the equation:
\[ \text{CP} = 2808 \times \frac{100}{117} \]

6. **Calculating the cost price:**
- First, calculate \(2808 \div 117\):
\[ 2808 \div 117 = 24 \]
- Now multiply by 100:
\[ \text{CP} = 24 \times 100 = 2400 \]

### Final Answer:
The cost price (CP) of the table is Rs 2400.

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