Pamela bought one oven at 20% discount off its original price. She paid a total of $432 for it, which was inclusive of 8% GST on the discounted price. What was the original price of the oven?
| |
Percent expressed as units |
Percent expressed as % |
Amount |
| Original price |
100 u |
|
? |
| Discount |
- 20 u |
|
|
| Discounted price |
80 u |
100% |
$400 |
| GST |
|
+ 8% |
|
Amount
to pay |
|
108% |
$432 |
Price of the oven with 8% GST in percent
= 100% + 8%
= 108%
108% of the oven with 8% GST = 432
1% of the oven with 8% GST = 432 ÷ 108 = 4
100% of the oven with 8% GST = 100 x 4 = 400
Price of the oven at 20% discount in units
= 100 u - 20 u
= 80 u
Discounted price = 100% of the price to pay for before adding GST.
80 u of the oven without GST = 400
1 u of the oven without GST = 400 ÷ 80 = 5
100 u of the oven without GST = 100 x 5 = 500
Original price of the oven = $500
Answer(s): $500
