Kylie bought one massage chair at 10% discount off its original price. She paid a total of $972 for it, which was inclusive of 8% GST on the discounted price. What was the original price of the massage chair?
|
Percent expressed as units |
Percent expressed as % |
Amount |
Original price |
100 u |
|
? |
Discount |
- 10 u |
|
|
Discounted price |
90 u |
100% |
$900 |
GST |
|
+ 8% |
|
Amount to pay |
|
108% |
$972 |
Price of the massage chair with 8% GST in percent
= 100% + 8%
= 108%
108% of the massage chair with 8% GST = 972
1% of the massage chair with 8% GST = 972 ÷ 108 = 9
100% of the massage chair with 8% GST = 100 x 9 = 900
Price of the massage chair at 10% discount in units
= 100 u - 10 u
= 90 u
Discounted price = 100% of the price to pay for before adding GST.
90 u of the massage chair without GST = 900
1 u of the massage chair without GST = 900 ÷ 90 = 10
100 u of the massage chair without GST = 100 x 10 = 1000
Original price of the massage chair = $1000
Answer(s): $1000