A coconut merchant finds that the cost price of 2750 coconuts is the same as the selling price of 2500 coconuts. His loss or gain percent will be

Options

A. 5% /gain
B. 10%/gain
C. 15%/loss
D. 20% /gain

Answer

To solve the problem, we need to determine the loss or gain percentage of the coconut merchant based on the given information. Let's break it down step by step.

### Step-by-Step Solution:

1. **Identify the Given Information:**
- Cost Price (CP) of 2750 coconuts = Selling Price (SP) of 2500 coconuts.

2. **Set Up the Equation:**
- Let the Cost Price of 1 coconut be \( CP \).
- Therefore, the total Cost Price of 2750 coconuts = \( 2750 \times CP \).
- Let the Selling Price of 1 coconut be \( SP \).
- Therefore, the total Selling Price of 2500 coconuts = \( 2500 \times SP \).

From the problem, we have:
\[ 2750 \times CP = 2500 \times SP \]

3. **Find the Ratio of CP to SP:**
- Rearranging the equation gives us:
\[ \frac{CP}{SP} = \frac{2500}{2750} \]
- Simplifying the fraction:
\[ \frac{CP}{SP} = \frac{2500 \div 250}{2750 \div 250} = \frac{10}{11} \]

4. **Determine the Profit or Loss:**
- Since \( CP = 10 \) and \( SP = 11 \), we can see that the selling price is greater than the cost price, indicating a profit.
- The profit can be calculated as:
\[ \text{Profit} = SP - CP = 11 - 10 = 1 \]

5. **Calculate the Profit Percentage:**
- The profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{CP} \right) \times 100 \]
- Substituting the values:
\[ \text{Profit Percentage} = \left( \frac{1}{10} \right) \times 100 = 10\% \]

### Final Answer:
The merchant has a gain of **10%**.