If profit is `(1/11)` th of selling price, what is the profit per cent?

Options

A. 9 `1/11`
B. 10
C. 8 `1/3`
D. 11 `1/9`

Answer

To solve the problem step by step, we will follow the information given in the question and the video transcript.

### Step 1: Define the Selling Price (SP) and Profit
Let’s denote the Selling Price (SP) as \( SP = 11 \) (for simplicity). According to the question, the profit is \( \frac{1}{11} \) of the selling price.

### Step 2: Calculate the Profit
Now, we calculate the profit:
\[ \text{Profit} = \frac{1}{11} \times SP = \frac{1}{11} \times 11 = 1 \]

### Step 3: Calculate the Cost Price (CP)
The Cost Price (CP) can be calculated by subtracting the profit from the selling price:
\[ CP = SP - \text{Profit} = 11 - 1 = 10 \]

### Step 4: 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 we have:
\[ \text{Profit Percentage} = \left( \frac{1}{10} \right) \times 100\% = 10\% \]

### Final Answer
Thus, the profit percentage is \( 10\% \).

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