**Calculating the Cost Price:**

To find the vendor's profit, we first need to determine the cost price of the bananas. The cost price is the amount the vendor paid to acquire the bananas.

Given that the vendor bought 600 bananas for 350, we can calculate the cost price using the formula:

Cost Price = Total Amount Paid / Quantity

In this case, the total amount paid is 350, and the quantity is 600.

Therefore, the cost price of each banana is:

Cost Price = 350 / 600 = 0.5833 (rounded to four decimal places)

**Calculating the Selling Price:**

Next, we need to determine the selling price of the bananas. The selling price is the amount for which the bananas are sold.

Given that the vendor sold each banana for 1, the selling price is 1 for each banana.

**Calculating the Profit:**

To calculate the profit, we need to subtract the cost price from the selling price.

Profit = Selling Price - Cost Price

In this case, the selling price is 1, and the cost price is 0.5833.

Therefore, the profit per banana is:

Profit = 1 - 0.5833 = 0.4167 (rounded to four decimal places)

**Calculating the Total Profit:**

To find the total profit, we need to multiply the profit per banana by the quantity.

Total Profit = Profit per Banana * Quantity

In this case, the profit per banana is 0.4167, and the quantity is 600.

Therefore, the total profit is:

Total Profit = 0.4167 * 600 = 250.02 (rounded to two decimal places)

**Conclusion:**

The vendor's profit from selling 600 bananas at a selling price of 1 each, after buying them for 350, is 250.02.

Vendor