Jane bought one mobile phone at 20% discount off its original price. She paid a total of $872 for it, which was inclusive of 9% GST on the discounted price. What was the original price of the mobile phone?
|
Percent expressed as units |
Percent expressed as % |
Amount |
Original price |
100 u |
|
? |
Discount |
- 20 u |
|
|
Discounted price |
80 u |
100% |
$800 |
GST |
|
+ 9% |
|
Amount to pay |
|
109% |
$872 |
Price of the mobile phone with 9% GST in percent
= 100% + 9%
= 109%
109% of the mobile phone with 9% GST = 872
1% of the mobile phone with 9% GST = 872 ÷ 109 = 8
100% of the mobile phone with 9% GST = 100 x 8 = 800
Price of the mobile phone 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 mobile phone without GST = 800
1 u of the mobile phone without GST = 800 ÷ 80 = 10
100 u of the mobile phone without GST = 100 x 10 = 1000
Original price of the mobile phone = $1000
Answer(s): $1000