Gwen bought one mobile phone at 25% discount off its original price. She paid a total of $990 for it, which was inclusive of 10% 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 |
- 25 u |
|
|
Discounted price |
75 u |
100% |
$900 |
GST |
|
+ 10% |
|
Amount to pay |
|
110% |
$990 |
Price of the mobile phone with 10% GST in percent
= 100% + 10%
= 110%
110% of the mobile phone with 10% GST = 990
1% of the mobile phone with 10% GST = 990 ÷ 110 = 9
100% of the mobile phone with 10% GST = 100 x 9 = 900
Price of the mobile phone 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 mobile phone without GST = 900
1 u of the mobile phone without GST = 900 ÷ 75 = 12
100 u of the mobile phone without GST = 100 x 12 = 1200
Original price of the mobile phone = $1200
Answer(s): $1200