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 out how many plates the salesman bought, we need to divide the total amount he spent on buying plates by the price per plate.

Let's break down the information provided:
- The salesman bought each plate for $50.00.
- The total amount he received from selling all the plates is $600.00.
- He made a profit of 20% on the transaction.

First, we need to calculate the profit made by the salesman. Since he made a profit of 20%, this means the profit is equal to 20% of the selling price.

Profit = 20% of Selling Price
Profit = (20/100) * Selling Price
Profit = 0.20 * 600
Profit = 120

Now, we can calculate the cost price for each plate. The cost price is the price at which the plates were bought, excluding any profit.

Cost Price = Selling Price - Profit
Cost Price = 600 - 120
Cost Price = 480

Finally, we can determine the number of plates the salesman bought by dividing the total cost by the price per plate.

Number of Plates = Total Cost / Price per plate
Number of Plates = 480 / 50
Number of Plates = 9.6

The salesman bought 9.6 plates. However, since we are dealing with whole plates, we need to round the number to the nearest whole number. Therefore, the salesman bought approximately 10 plates.