If the selling price of 10 eggs is same as the cost price of 11 eggs, then find the profit or loss percent.

Answer

To solve the problem, we need to find the profit or loss percentage when the selling price of 10 eggs is equal to the cost price of 11 eggs. Let's break this down step by step.

### Step 1: Define Variables
Let the cost price (CP) of one egg be \( x \).

### Step 2: Calculate Cost Price of 11 Eggs
The cost price of 11 eggs can be calculated as:
\[ \text{CP of 11 eggs} = 11 \times x = 11x \]

### Step 3: Calculate Selling Price of 10 Eggs
According to the problem, the selling price (SP) of 10 eggs is equal to the cost price of 11 eggs. Therefore:
\[ \text{SP of 10 eggs} = 11x \]

### Step 4: Calculate Selling Price of One Egg
To find the selling price of one egg, we divide the selling price of 10 eggs by 10:
\[ \text{SP of 1 egg} = \frac{11x}{10} \]

### Step 5: Calculate Profit
Profit can be calculated as:
\[ \text{Profit} = \text{SP} - \text{CP} = \left(\frac{11x}{10}\right) - x \]
To simplify this, we express \( x \) as \( \frac{10x}{10} \):
\[ \text{Profit} = \frac{11x}{10} - \frac{10x}{10} = \frac{1x}{10} = \frac{x}{10} \]

### Step 6: Calculate Profit Percentage
Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left(\frac{\text{Profit}}{\text{CP}}\right) \times 100 \]
Substituting the values we have:
\[ \text{Profit Percentage} = \left(\frac{\frac{x}{10}}{x}\right) \times 100 \]
This simplifies to:
\[ \text{Profit Percentage} = \left(\frac{1}{10}\right) \times 100 = 10\% \]

### Final Answer
The profit percentage is **10%**.

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