Final answer:
The profit percent for the fruit seller who gains the selling price of 11 oranges by selling 33 oranges is 33.33%, which is calculated by dividing the profit by the total cost price and multiplying by 100.
Step-by-step explanation:
The question concerns a fruit seller who makes a profit equivalent to the selling price of 11 oranges after selling 33 oranges. To calculate the profit percent, we must first recognize the relationship between the cost of the oranges and the selling price that results in the profit. Imagine each orange has a cost price (CP) of 1 unit. Therefore, for 33 oranges, the total cost price would be 33 units. Since the profit is equivalent to the selling price (SP) of 11 oranges, we can set the selling price of each orange as 1 unit of profit added on top of the cost price. Therefore, for 33 oranges, the total selling price is 33 units plus the profit from 11 oranges, resulting in a total of 44 units (33 CP + 11 Profit).
To find the profit percent, we need to calculate the profit made on the original 33 units and then express this as a percentage. The profit made is the additional 11 units, so we calculate the profit percentage by dividing the profit (11 units) by the total cost price (33 units) and then multiply by 100 to get it as a percentage:
Profit Percent = (Profit / Total CP) x 100 = (11 / 33) x 100 = 33.333...%
As a result, the profit percent is 33.33%, which means the fruit seller gains a third on top of their cost as profit.