Xandra bought 2 pairs of trainers at the store and paid a total amount of $320.76 including 8% GST.
- How much did the 2 pairs of trainers cost before GST?
- The usual price for Xandra's second pair of trainers was $72 before GST. What was the usual price of her first pair of trainers before GST?
|
Member's Birthday Special
|
|
1st pair of trainers at 10% discount*
2nd pair of trainers at 40% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$120 |
|
| Discount |
- 10% |
- 40% |
|
| Final price |
90% =
$225 |
60% =
$72 |
$297 |
Final price with
GST 8% |
$243 |
$77.76 |
$320.76 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 320.76
1% of the cost = 320.76 ÷ 108 = 2.97
100% of the cost = 100 x 2.97 = 297
Cost of the 2 pairs of trainers before GST = $297
(b)
Discounted price of the first pair before GST
= 297 - 72
= $225
Discounted price of the first pair before GST in percentage
= 100% - 10%
= 90%
90% of the price of 1st pair before GST = 225
1% of the price of 1st pair before GST = 225 ÷ 90 = 2.5
100% of the price of the 1st pair before GST = 100 x 2.5 = 250
Usual price for the first pair of trainers before GST = $250
Answer(s): (a) $297; (b) $250
