A person bought eggs with the price of Rs. 20 per dozen and sold them at the rate of Rs. 2 per egg. What is his per cent profit in the transaction?

Options

A. `4%`
B. `16 2/3%`
C. `18%`
D. `20%`

Answer

To solve the problem step by step, we will calculate the cost price, selling price, profit, and then the profit percentage.

### Step 1: Calculate the Cost Price (CP)
The cost price of eggs is given as Rs. 20 per dozen. Since 1 dozen contains 12 eggs, the cost price for 12 eggs is:
\[ \text{Cost Price (CP)} = Rs. 20 \]

### Step 2: Calculate the Selling Price (SP)
The selling price of each egg is given as Rs. 2. Therefore, the total selling price for 12 eggs is:
\[ \text{Selling Price (SP)} = \text{Number of eggs} \times \text{Selling price per egg} \]
\[ \text{SP} = 12 \times Rs. 2 = Rs. 24 \]

### Step 3: Calculate the Profit
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
\[ \text{Profit} = Rs. 24 - Rs. 20 = Rs. 4 \]

### Step 4: Calculate the Profit Percentage
The profit percentage can be calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Cost Price}} \right) \times 100\% \]
\[ \text{Profit Percentage} = \left( \frac{Rs. 4}{Rs. 20} \right) \times 100\% \]
\[ \text{Profit Percentage} = \left( \frac{1}{5} \right) \times 100\% = 20\% \]

### Final Answer
The person's profit percentage in the transaction is **20%**.

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