Ragini purchases oranges at ₹ 10 per dozen and sells them at ₹ 12 for every 10 oranges. What is the profit percentage?

Options

A. `40%`
B. `44%`
C. `60%`
D. `48%`

Answer

To solve the problem step by step, we will calculate the cost price (CP), selling price (SP), profit, and finally the profit percentage.

### Step 1: Calculate the Cost Price (CP)
Ragini purchases oranges at ₹10 per dozen. Since 1 dozen = 12 oranges, the cost price for 12 oranges is:
\[ \text{CP} = ₹10 \]

### Step 2: Calculate the Selling Price (SP)
Ragini sells the oranges at ₹12 for every 10 oranges. To find the selling price for 12 oranges, we first need to determine how much she earns from selling 10 oranges and then calculate the price for the remaining 2 oranges.

1. Selling price for 10 oranges = ₹12
2. Selling price for 1 orange = ₹12 / 10 = ₹1.20
3. Selling price for 2 oranges = 2 × ₹1.20 = ₹2.40
4. Therefore, selling price for 12 oranges = Selling price for 10 oranges + Selling price for 2 oranges
\[ \text{SP} = ₹12 + ₹2.40 = ₹14.40 \]

### Step 3: Calculate the Profit
Profit is calculated as:
\[ \text{Profit} = \text{SP} - \text{CP} \]
\[ \text{Profit} = ₹14.40 - ₹10 = ₹4.40 \]

### Step 4: Calculate the Profit Percentage
Profit percentage is calculated using the formula:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{CP}} \right) \times 100 \]
\[ \text{Profit Percentage} = \left( \frac{₹4.40}{₹10} \right) \times 100 = 44\% \]

### Final Answer
The profit percentage is **44%**.

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