By selling 36 oranges, a vender loses the selling price of 4 oranges. His loss per cent is-

Options

A. `(12)1/2%`
B. `(11)1/9%`
C. `10%`
D. None of these

Answer

To find the loss percentage when a vendor sells 36 oranges and incurs a loss equivalent to the selling price of 4 oranges, we can follow these steps:

### Step-by-Step Solution:

1. **Assume Selling Price of One Orange**:
Let's assume the selling price (SP) of one orange is ₹1.

**Hint**: Start by defining the selling price of one unit to simplify calculations.

2. **Calculate Selling Price of 36 Oranges**:
If the selling price of one orange is ₹1, then the selling price of 36 oranges is:
\[ SP_{36} = 36 \times 1 = ₹36 \]

**Hint**: Multiply the selling price of one orange by the total number of oranges sold.

3. **Determine Loss**:
The vendor incurs a loss equivalent to the selling price of 4 oranges. Therefore, the loss is:
\[ \text{Loss} = SP_{4} = 4 \times 1 = ₹4 \]

**Hint**: Calculate the loss based on the selling price of the number of oranges that represent the loss.

4. **Calculate Cost Price (CP)**:
The cost price can be calculated using the formula:
\[ CP = SP + \text{Loss} \]
Substituting the values we have:
\[ CP = 36 + 4 = ₹40 \]

**Hint**: Remember that the cost price is the total selling price plus any losses incurred.

5. **Calculate Loss Percentage**:
The loss percentage can be calculated using the formula:
\[ \text{Loss Percentage} = \left( \frac{\text{Loss}}{CP} \right) \times 100 \]
Substituting the values:
\[ \text{Loss Percentage} = \left( \frac{4}{40} \right) \times 100 = 10\% \]

**Hint**: To find the percentage, divide the loss by the cost price and multiply by 100.

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