A shopkeeper bought some pencils at Rs. 18 a dozen and sold them at a profit of `20%` . Find the selling price per pencil .

Options

A. Rs. 1.50
B. Rs . 1.80
C. Rs. 2.50
D. Rs. 2.60

Answer

To find the selling price per pencil, we will follow these steps:

### Step 1: Determine the Cost Price per Pencil
The shopkeeper bought pencils at Rs. 18 per dozen. Since there are 12 pencils in a dozen, we can calculate the cost price (CP) per pencil as follows:

\[ \text{Cost Price per pencil} = \frac{\text{Cost Price per dozen}}{12} = \frac{18}{12} = 1.5 \text{ Rs.} \]

### Step 2: Calculate the Selling Price with Profit
The shopkeeper sells the pencils at a profit of 20%. To find the selling price (SP), we can use the formula:

\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]

The profit can be calculated as:

\[ \text{Profit} = \text{Cost Price} \times \frac{20}{100} = 1.5 \times 0.2 = 0.3 \text{ Rs.} \]

Now, substituting the values into the selling price formula:

\[ \text{Selling Price} = 1.5 + 0.3 = 1.8 \text{ Rs.} \]

### Conclusion
The selling price per pencil is Rs. 1.8.

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