A man purchased some eggs at the rate of Rs. 20 per dozen and sold at the rate of Rs. 2 per egg. What is the percentage of profit ?

Options

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

Answer

To solve the problem of finding the percentage of profit from the sale of eggs, we can follow these steps:

### Step 1: Calculate the Cost Price (CP)
The cost price of eggs is given as Rs. 20 per dozen.

Since 1 dozen = 12 eggs, the cost price per egg is:
\[ \text{Cost Price per egg} = \frac{20 \text{ Rs}}{12 \text{ eggs}} = \frac{20}{12} \text{ Rs} \approx 1.67 \text{ Rs} \]

### Step 2: Calculate the Selling Price (SP)
The selling price of each egg is given as Rs. 2.

### Step 3: Calculate the Profit
Profit can be calculated using the formula:
\[ \text{Profit} = \text{Selling Price} - \text{Cost Price} \]
For one egg:
\[ \text{Profit} = 2 \text{ Rs} - 1.67 \text{ Rs} = 0.33 \text{ Rs} \]

### Step 4: Calculate the Total Profit for a Dozen
Since we are interested in the profit for a dozen eggs (12 eggs):
\[ \text{Total Profit for 12 eggs} = 0.33 \text{ Rs} \times 12 = 4 \text{ Rs} \]

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

### Final Answer:
The percentage of profit is **20%**.

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