Answer:
[tex]x = 0.25[/tex]
Step-by-step explanation:
Given
[tex]Cost\ Price = 6 + x[/tex]
[tex]Discount =8\%[/tex]
[tex]Amount\ Paid = R6 - x[/tex]
Required
Find x
First, we calculate the amount paid in terms of the cost price.
This is calculated using:
[tex]Amount\ Paid = Cost\ Price * (100\% - Discount)[/tex]
[tex]Amount\ Paid = (6 + x) * (100\% - 8\%)[/tex]
[tex]Amount\ Paid = (6 + x) * 92\%[/tex]
Express as decimal
[tex]Amount\ Paid = (6 + x) * 0.92[/tex]
Open bracket
[tex]Amount\ Paid = 5.52 + 0.92x[/tex]
So, we have:
[tex]Amount\ Paid = 5.52 + 0.92x[/tex] and
[tex]Amount\ Paid = R6 - x[/tex] ---- given
Equate both
[tex]6 - x = 5.52 + 0.92x[/tex]
Collect like terms
[tex]- x -0.92x= 5.52-6[/tex]
[tex]-1.92x= -0.48[/tex]
[tex]1.92x= 0.48[/tex]
Solve for x
[tex]x = \frac{0.48}{1.92}[/tex]
[tex]x = 0.25[/tex]
