On selling 120 bottles, Vijay earns profit equal to the cost price of 10 bottles. What is the profit percentage?

Options

A. 8.33
B. 9.09
C. 7.7
D. 12.5

Answer

To find the profit percentage when Vijay sells 120 bottles and earns a profit equal to the cost price of 10 bottles, we can follow these steps:

### Step-by-Step Solution:

1. **Define Variables**:
Let the cost price (CP) of one bottle be \( x \).
Therefore, the cost price of 120 bottles will be \( 120x \).

2. **Calculate Profit**:
According to the problem, the profit earned from selling 120 bottles is equal to the cost price of 10 bottles. Thus, the profit can be expressed as:
\[ \text{Profit} = \text{CP of 10 bottles} = 10x \]

3. **Relate Selling Price (SP) and Profit**:
The profit can also be expressed as the difference between the selling price (SP) and the cost price (CP):
\[ \text{Profit} = \text{SP} - \text{CP} \]
Therefore, we can write:
\[ 10x = \text{SP} - 120x \]

4. **Solve for Selling Price (SP)**:
Rearranging the equation gives:
\[ \text{SP} = 10x + 120x = 130x \]

5. **Calculate Profit Percentage**:
Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \]
Here, the profit is \( 10x \) and the cost price for 120 bottles is \( 120x \):
\[ \text{Profit Percentage} = \left( \frac{10x}{120x} \right) \times 100 \]
Simplifying this gives:
\[ \text{Profit Percentage} = \left( \frac{10}{120} \right) \times 100 = \frac{1}{12} \times 100 \approx 8.33\% \]

### Final Answer:
The profit percentage is approximately **8.33%**.