A vendor buys oranges @ ₹ 2 for 3 oranges and sells them at a rupee each. To make a profit of ₹ 10, he must sell:

Options

A. 10 oranges
B. 20 oranges
C. 30 oranges
D. 40 oranges

Answer

To solve the problem step by step, we need to determine how many oranges the vendor must sell to achieve a profit of ₹10.

### Step 1: Calculate the cost price of oranges
The vendor buys 3 oranges for ₹2.
- Cost price (CP) of 1 orange = Total cost / Number of oranges = ₹2 / 3 = ₹2/3 or approximately ₹0.67.

### Step 2: Calculate the selling price of oranges
The vendor sells each orange for ₹1.
- Selling price (SP) of 1 orange = ₹1.

### Step 3: Calculate the profit made on selling 3 oranges
Profit is calculated as:
- Profit = Selling Price - Cost Price.
For 3 oranges:
- Cost Price of 3 oranges = ₹2 (since he buys 3 for ₹2).
- Selling Price of 3 oranges = 3 × ₹1 = ₹3.
- Profit for 3 oranges = ₹3 - ₹2 = ₹1.

### Step 4: Determine how many sets of 3 oranges he needs to sell to make a profit of ₹10
To find out how many sets of 3 oranges he needs to sell to achieve a profit of ₹10:
- Since he makes a profit of ₹1 for every 3 oranges sold, to make a profit of ₹10, he needs to sell:
- Number of sets = Total desired profit / Profit per set = ₹10 / ₹1 = 10 sets.

### Step 5: Calculate the total number of oranges to be sold
Since each set consists of 3 oranges:
- Total oranges to be sold = Number of sets × Oranges per set = 10 × 3 = 30 oranges.

### Final Answer
The vendor must sell **30 oranges** to make a profit of ₹10.

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