Percentages, SM-Bank 069

James purchased a pair of football boots for $358.05.

This price included 10% GST.

What was the price of the shoes before the GST was added? (2 marks)

Show Answers Only

$$325.50$

Show Worked Solution

$\text{Football boots have had 10% added to the price.}$

$\therefore\ $358.05\ \text{represents}\ 110\text{%}\ \text{of the original price}$

$\therefore\ \dfrac{110}{100}\ \times\ \text{Original price}$	$=$358.05$
$\therefore\ \text{Original price}$	$=\dfrac{358.05\times 10}{11}$
	$=$325.50$

\(\therefore\ \dfrac{110}{100}\ \times\ \text{Original price}\)	\(=$358.05\)
\(\therefore\ \text{Original price}\)	\(=\dfrac{358.05\times 10}{11}\)
	\(=$325.50\)