Esther bought one computer at 25% 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 computer?
| |
Percent expressed as units |
Percent expressed as % |
Amount |
| Original price |
100 u |
|
? |
| Discount |
- 25 u |
|
|
| Discounted price |
75 u |
100% |
$900 |
| GST |
|
+ 8% |
|
Amount
to pay |
|
108% |
$972 |
Price of the computer with 8% GST in percent
= 100% + 8%
= 108%
108% of the computer with 8% GST = 972
1% of the computer with 8% GST = 972 ÷ 108 = 9
100% of the computer with 8% GST = 100 x 9 = 900
Price of the computer at 25% discount in units
= 100 u - 25 u
= 75 u
Discounted price = 100% of the price to pay for before adding GST.
75 u of the computer without GST = 900
1 u of the computer without GST = 900 ÷ 75 = 12
100 u of the computer without GST = 100 x 12 = 1200
Original price of the computer = $1200
Answer(s): $1200
