Fiona bought one laptop at 30% discount off its original price. She paid a total of $749 for it, which was inclusive of 7% GST on the discounted price. What was the original price of the laptop?
| |
Percent expressed as units |
Percent expressed as % |
Amount |
| Original price |
100 u |
|
? |
| Discount |
- 30 u |
|
|
| Discounted price |
70 u |
100% |
$700 |
| GST |
|
+ 7% |
|
Amount
to pay |
|
107% |
$749 |
Price of the laptop with 7% GST in percent
= 100% + 7%
= 107%
107% of the laptop with 7% GST = 749
1% of the laptop with 7% GST = 749 ÷ 107 = 7
100% of the laptop with 7% GST = 100 x 7 = 700
Price of the laptop 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 laptop without GST = 700
1 u of the laptop without GST = 700 ÷ 70 = 10
100 u of the laptop without GST = 100 x 10 = 1000
Original price of the laptop = $1000
Answer(s): $1000
