A man buys 144 oranges for Rs. 360 and sells them at a gain of 10%. At what rate per dozen does he sell them ?
A. 25
B. 30
C. 33
D. 36

Options

A. D
B. C
C. A
D. B

Answer

To solve the problem step by step, we will determine the cost price per dozen, calculate the selling price with a 10% gain, and finally find the selling price per dozen.

### Step 1: Calculate the Cost Price (CP) per dozen
The man buys 144 oranges for Rs. 360. To find the cost price per dozen, we need to divide the total cost by the number of dozens in 144 oranges.

- **Total number of dozens in 144 oranges**:
\[ \text{Number of dozens} = \frac{144}{12} = 12 \text{ dozens} \]

- **Cost price per dozen**:
\[ \text{CP per dozen} = \frac{360}{12} = 30 \text{ Rs.} \]

### Step 2: Calculate the Selling Price (SP) with a 10% gain
To find the selling price per dozen, we need to calculate 10% of the cost price and add it to the cost price.

- **Gain percentage**: 10%
- **Gain amount**:
\[ \text{Gain} = 10\% \text{ of CP} = \frac{10}{100} \times 30 = 3 \text{ Rs.} \]

- **Selling price per dozen**:
\[ \text{SP per dozen} = \text{CP per dozen} + \text{Gain} = 30 + 3 = 33 \text{ Rs.} \]

### Final Answer
The selling price per dozen is Rs. 33.