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

Let x = number of plates.

1.2 (50)x = 600

Solve for x.

To determine the number of plates the salesperson bought, we need to use the information provided.

First, let's calculate the cost price of one plate. Since the salesperson bought each plate for $50, the cost price per plate is $50.

Next, let's find the selling price of one plate, taking into account the 20% profit. The selling price is 120% (100% + 20%) of the cost price. So, the selling price per plate is $50 + (20/100) * $50 = $50 + $10 = $60.

Now, let's calculate the number of plates the salesperson bought. We know that the total selling price of all plates combined was $600, and the selling price of one plate was $60. To find the number of plates, we need to divide the total selling price by the selling price per plate.

Number of plates = Total selling price / Selling price per plate
Number of plates = $600 / $60
Number of plates = 10 plates

Therefore, the salesperson bought 10 plates.