Percentages, SM-Bank 071

Lancelot bought a new round table for $2810.50 inclusive of 10% GST.

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

Show Answers Only

$$2555$

Show Worked Solution

$\text{Round table has had 10% added to the price.}$

$\therefore\ $2810.50\ \text{represents}\ 110\text{%}\ \text{of the original price}$

$\therefore\ \dfrac{110}{100}\ \times\ \text{Original price}$	$=$2810.50$
$\therefore\ \text{Original price}$	$=\dfrac{$2810.50\times 10}{11}$
	$=$2555$

\(\therefore\ \dfrac{110}{100}\ \times\ \text{Original price}\)	\(=$2810.50\)
\(\therefore\ \text{Original price}\)	\(=\dfrac{$2810.50\times 10}{11}\)
	\(=$2555\)