Sufyan bought 1200 eggs at Rs. 16 a dozen. At what price per hundred must he sell the eggs so as to earn a profit of 15% ?

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Calculate the Cost Price of 1200 Eggs
Sufyan bought 1200 eggs at Rs. 16 per dozen.

1 dozen = 12 eggs, so:
- Cost price of 1 dozen = Rs. 16
- Cost price of 1 egg = Rs. 16 / 12 = Rs. 1.33 (approximately)

Now, to find the total cost price (CP) of 1200 eggs:
- Total CP = Cost price of 1 egg × Number of eggs
- Total CP = Rs. 1.33 × 1200 = Rs. 1600

### Step 2: Calculate the Desired Profit
Sufyan wants to earn a profit of 15%.

To find the profit amount:
- Profit = 15% of Total CP
- Profit = 15/100 × Rs. 1600 = Rs. 240

### Step 3: Calculate the Selling Price
Now, we can calculate the selling price (SP) of the 1200 eggs:
- SP = Total CP + Profit
- SP = Rs. 1600 + Rs. 240 = Rs. 1840

### Step 4: Calculate the Selling Price per 100 Eggs
We need to find the selling price for 100 eggs.

First, we calculate how many hundreds are in 1200 eggs:
- Number of hundreds in 1200 eggs = 1200 / 100 = 12

Now, we can calculate the selling price per 100 eggs:
- Selling Price per 100 eggs = Total SP / Number of hundreds
- Selling Price per 100 eggs = Rs. 1840 / 12 = Rs. 153.33 (approximately)

### Final Answer
Sufyan must sell the eggs at approximately Rs. 153.33 per hundred to earn a profit of 15%.

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