Selling price of a fan is Rs. 4644.If profit per cent is 29% , then what is the cost price (in Rs.) offan?

Options

A. 5900
B. 3500
C. 3800
D. 3600

Answer

To find the cost price of the fan given the selling price and profit percentage, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Selling Price (SP) = Rs. 4644
- Profit Percentage (P%) = 29%

2. **Understand the Relationship Between Selling Price, Cost Price, and Profit:**
- The formula for Selling Price when Profit Percentage is given is:
\[ SP = CP + (P\% \times CP) \]
- This can be rewritten as:
\[ SP = CP \times \left(1 + \frac{P\%}{100}\right) \]

3. **Substituting the Values:**
- Substitute the values into the formula:
\[ 4644 = CP \times \left(1 + \frac{29}{100}\right) \]
- This simplifies to:
\[ 4644 = CP \times \left(1 + 0.29\right) \]
- Which further simplifies to:
\[ 4644 = CP \times 1.29 \]

4. **Solving for Cost Price (CP):**
- To find CP, divide both sides by 1.29:
\[ CP = \frac{4644}{1.29} \]

5. **Calculating the Cost Price:**
- Performing the division:
\[ CP = \frac{4644}{1.29} \approx 3600 \]

6. **Final Answer:**
- The cost price of the fan is Rs. 3600.