To solve this problem, we will need to determine which of the given options results in the correct profit based on the buying price (the original investment) and the selling price.
The profit from an investment can be calculated using the following formula:
\[ \text{Profit} = \text{Selling Price} - \text{Buying Price} \]
Moreover, profit percentage is calculated using:
\[ \text{Profit Percentage} = \left( \frac{\text{Profit}}{\text{Buying Price}} \right) \times 100 \]
Let's use these formulas to find out which option depicts a profit.
Option A: $600; $400
Buying Price = $600
Selling Price = $400
This would result in a loss, not a profit, because selling price is lower than buying price.
Option B: $600; $500
Buying Price = $600
Selling Price = $500
This would also result in a loss, because selling price is lower than buying price.
Option C: $500; $600
Buying Price = $500
Selling Price = $600
Profit = Selling Price - Buying Price = $600 - $500 = $100
Profit Percentage = ($100 / $500) * 100 = 20%
Option C results in a 20% profit.
Option D: $500; $400
Buying Price = $500
Selling Price = $400
Again, this would result in a loss, since the selling price is less than the buying price.
From these calculations, it's clear that only Option C describes a scenario in which there is a profit. The problem statement does not specify the profit percentage, so we cannot confirm if the 20% profit from Option C matches the intended profit amount unless that detail is provided. However, given the choices, Option C is the only one that shows a profit, not a loss.
