Question

(i) Challenge: Thembi received 8% discount on an item which cost

Answer 1

Answer:

$x = 0.25$

Step-by-step explanation:

Given

$Cost\ Price = 6 + x$

$Discount =8\%$

$Amount\ Paid = R6 - x$

Required

Find x

First, we calculate the amount paid in terms of the cost price.

This is calculated using:

$Amount\ Paid = Cost\ Price * (100\% - Discount)$

$Amount\ Paid = (6 + x) * (100\% - 8\%)$

$Amount\ Paid = (6 + x) * 92\%$

Express as decimal

$Amount\ Paid = (6 + x) * 0.92$

Open bracket

$Amount\ Paid = 5.52 + 0.92x$

So, we have:

$Amount\ Paid = 5.52 + 0.92x$ and

$Amount\ Paid = R6 - x$ ---- given

Equate both

$6 - x = 5.52 + 0.92x$

Collect like terms

$- x -0.92x= 5.52-6$

$-1.92x= -0.48$

$1.92x= 0.48$

Solve for x

$x = \frac{0.48}{1.92}$

$x = 0.25$