Answer:
[tex]Profit\% = 25\%[/tex]
Step-by-step explanation:
Given
Let the cost price be x
The profit be y
Required
Determine the profit percentage:
According to the question; profit = 1/4 of cost price.
So:
[tex]y =\frac{1}{4}x[/tex]
The percentage profit is then calculated as:
[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]
This gives:
[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]
Substitute values for profit and cost price
[tex]Profit\% = \frac{\frac{1}{4}x}{x} * 100\%[/tex]
[tex]Profit\% = \frac{1}{4} * 100\%[/tex]
[tex]Profit\% = \frac{1 * 100\%}{4}[/tex]
[tex]Profit\% = 25\%[/tex]