A man bought 4 dozen eggs at Rs. 24 per dozen and 2 dozen eggs at Rs. 32 per dozen. To gain 20% on the whole, he should sell the eggs at

Options

A. Rs. 16 per dozen
B. Rs. 21 per dozen
C. Rs. 32 per dozen
D. Rs. 35 per dozen

Answer

To solve the problem step by step, we will calculate the total cost price (CP), the selling price (SP) required for a 20% profit, and finally determine the selling price per dozen.

### Step 1: Calculate the total cost price (CP)
The man bought:
- 4 dozen eggs at Rs. 24 per dozen
- 2 dozen eggs at Rs. 32 per dozen

**Calculation:**
- Cost for 4 dozen = 4 × 24 = Rs. 96
- Cost for 2 dozen = 2 × 32 = Rs. 64

**Total CP = Cost for 4 dozen + Cost for 2 dozen**
Total CP = 96 + 64 = Rs. 160

### Step 2: Calculate the required selling price (SP) for a 20% profit
To gain a profit of 20%, the selling price must be calculated based on the total cost price.

**Calculation:**
- Profit = 20% of CP = 20/100 × 160 = Rs. 32
- Therefore, SP = CP + Profit = 160 + 32 = Rs. 192

### Step 3: Calculate the selling price per dozen
The total number of dozens of eggs bought is:
- Total dozens = 4 dozen + 2 dozen = 6 dozen

**Calculation:**
- Selling price per dozen = Total SP / Total dozens
Selling price per dozen = 192 / 6 = Rs. 32

### Final Answer:
The man should sell the eggs at Rs. 32 per dozen.

---