By selling 18 chocolates, a vendor loses the selling price of 2 chocolates. Find his loss percent.

Answer

To solve the problem step by step, we will follow the mathematical concepts of profit, loss, and percentage.

### Step 1: Understand the given information
The vendor sells 18 chocolates and incurs a loss equivalent to the selling price of 2 chocolates.

### Step 2: Define the variables
Let:
- SP = Selling Price of 1 chocolate
- CP = Cost Price of 1 chocolate

### Step 3: Calculate the total Selling Price (SP) for 18 chocolates
The total selling price for 18 chocolates is:
\[ \text{Total SP} = 18 \times SP \]

### Step 4: Determine the loss
The loss incurred by the vendor is equal to the selling price of 2 chocolates:
\[ \text{Loss} = 2 \times SP \]

### Step 5: Relate Cost Price (CP), Selling Price (SP), and Loss
Using the formula for loss:
\[ \text{Loss} = CP - SP \]
We can substitute the loss from step 4:
\[ 2 \times SP = CP - (18 \times SP) \]

### Step 6: Rearranging the equation to find CP
Rearranging the equation gives:
\[ CP = 18 \times SP + 2 \times SP \]
\[ CP = 20 \times SP \]

### Step 7: Calculate the loss percentage
The loss percentage can be calculated using the formula:
\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{\text{CP}} \right) \times 100 \]
Substituting the values we have:
\[ \text{Loss Percentage} = \left( \frac{2 \times SP}{20 \times SP} \right) \times 100 \]

### Step 8: Simplifying the loss percentage
The SP cancels out:
\[ \text{Loss Percentage} = \left( \frac{2}{20} \right) \times 100 \]
\[ \text{Loss Percentage} = \left( \frac{1}{10} \right) \times 100 \]
\[ \text{Loss Percentage} = 10\% \]

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

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