A woman bought eggs at र 30 per dozen. The selling price per hundred so as to gain 12% will be (in र)

Options

A. 280
B. 250
C. 300
D. 360

Answer

To solve the problem step by step, we will follow the process of calculating the cost price of one egg, determining the selling price per egg to achieve a 12% profit, and then calculating the total selling price for 100 eggs.

### Step 1: Calculate the Cost Price of One Egg
The woman bought eggs at ₹30 per dozen. Since one dozen contains 12 eggs, we can find the cost price of one egg.

\[ \text{Cost Price of 1 dozen} = ₹30 \]
\[ \text{Cost Price of 1 egg} = \frac{30}{12} = ₹2.5 \]

### Step 2: Calculate the Selling Price of One Egg for a 12% Profit
To find the selling price that includes a 12% profit, we use the formula:

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

The profit can be calculated as 12% of the cost price:

\[ \text{Profit} = 12\% \text{ of } ₹2.5 = \frac{12}{100} \times 2.5 = ₹0.3 \]

Now, we can calculate the selling price:

\[ \text{Selling Price of 1 egg} = ₹2.5 + ₹0.3 = ₹2.8 \]

### Step 3: Calculate the Selling Price for 100 Eggs
Now, to find the selling price for 100 eggs, we multiply the selling price of one egg by 100:

\[ \text{Selling Price of 100 eggs} = 100 \times ₹2.8 = ₹280 \]

### Final Answer
Thus, the selling price per hundred eggs to gain a 12% profit is **₹280**.

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