Kimberly bought one hi-fi system at 30% discount off its original price. She paid a total of $756 for it, which was inclusive of 8% GST on the discounted price. What was the original price of the hi-fi system?

	Percent expressed as units	Percent expressed as %	Amount
Original price	100 u		?
Discount	- 30 u
Discounted price	70 u	100%	$700
GST		+ 8%
Amount to pay		108%	$756

Price of the hi-fi system with 8% GST in percent
= 100% + 8%
= 108%

108% of the hi-fi system with 8% GST = 756
1% of the hi-fi system with 8% GST = 756 ÷ 108 = 7
100% of the hi-fi system with 8% GST = 100 x 7 = 700

Price of the hi-fi system at 30% discount in units
= 100 u - 30 u
= 70 u

Discounted price = 100% of the price to pay for before adding GST.

70 u of the hi-fi system without GST = 700
1 u of the hi-fi system without GST = 700 ÷ 70 = 10
100 u of the hi-fi system without GST = 100 x 10 = 1000

Original price of the hi-fi system = $1000

Answer(s): $1000