A sales manbought some plates at$50.00 each.if he sold all of them for$600.00 and made a profit of 20% on the transaction,how many plates did he buy?

To find the number of plates the salesman bought, we can use the given information about the cost and selling price, along with the profit percentage.

Let's break down the problem step by step:

1. Calculate the profit percentage:
- The profit percentage is given as 20%.
- This means the salesman's profit is 20% of the cost price.
- Profit percentage = (Profit / Cost Price) × 100
- Since the profit percentage is 20% and the cost price is $50, we can calculate the profit:
Profit = (20 / 100) × $50 = $10 (profit on each plate)

2. Calculate the selling price:
- The total selling price is given as $600.00.
- We need to find the selling price of each plate.
- Selling Price = Cost Price + Profit
- Since the cost price is $50 and the profit is $10, we can calculate the selling price:
Selling Price = $50 + $10 = $60 (selling price for each plate)

3. Calculate the number of plates:
- To find the number of plates bought, we can divide the total selling price by the selling price per plate.
- Number of plates = Total Selling Price / Selling Price per Plate
- Since the total selling price is $600.00, and the selling price per plate is $60, we can calculate the number of plates bought:
Number of plates = $600 / $60 = 10

Therefore, the salesman bought 10 plates.