A shopkeeper purchased some eggs at Rs. 18 a dozen and sold them at a profit of 20%. Find the selling price per egg.

Answer

To solve the problem step by step, let's break it down:

### Step 1: Determine the Cost Price per Dozen
The cost price (CP) of the eggs is given as Rs. 18 for a dozen.

### Step 2: Calculate the Profit
The shopkeeper sells the eggs at a profit of 20%. To find the profit amount, we use the formula:
\[ \text{Profit} = \text{Cost Price} \times \frac{\text{Profit Percentage}}{100} \]

So, substituting the values:
\[ \text{Profit} = 18 \times \frac{20}{100} \]
\[ \text{Profit} = 18 \times 0.2 \]
\[ \text{Profit} = 3.6 \]

### Step 3: Calculate the Selling Price per Dozen
Now, we can find the selling price (SP) per dozen using the formula:
\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]

Substituting the values:
\[ \text{Selling Price} = 18 + 3.6 \]
\[ \text{Selling Price} = 21.6 \]

### Step 4: Calculate the Selling Price per Egg
Since there are 12 eggs in a dozen, we can find the selling price per egg by dividing the selling price per dozen by 12:
\[ \text{Selling Price per Egg} = \frac{\text{Selling Price per Dozen}}{12} \]

Substituting the values:
\[ \text{Selling Price per Egg} = \frac{21.6}{12} \]
\[ \text{Selling Price per Egg} = 1.8 \]

### Final Answer
The selling price per egg is Rs. 1.8.

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