Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

(i) Challenge: Thembi received 8% discount on an item which cost
R6 plus x cents. The price she paid was R6 minus x cents.
Determine the value of x.

Sagot :

MrRoyal

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]

We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.