Xandra bought 2 pairs of floaters at the store and paid a total amount of $305.64 including 8% GST.
- How much did the 2 pairs of floaters cost before GST?
- The usual price for Xandra's second pair of floaters was $108 before GST. What was the usual price of her first pair of floaters before GST?
|
Member's Birthday Special
|
|
1st pair of floaters at 30% discount*
2nd pair of floaters at 40% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$180 |
|
| Discount |
- 30% |
- 40% |
|
| Final price |
70% =
$175 |
60% =
$108 |
$283 |
Final price with
GST 8% |
$189 |
$116.64 |
$305.64 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 305.64
1% of the cost = 305.64 ÷ 108 = 2.83
100% of the cost = 100 x 2.83 = 283
Cost of the 2 pairs of floaters before GST = $283
(b)
Discounted price of the first pair before GST
= 283 - 108
= $175
Discounted price of the first pair before GST in percentage
= 100% - 30%
= 70%
70% of the price of 1st pair before GST = 175
1% of the price of 1st pair before GST = 175 ÷ 70 = 2.5
100% of the price of the 1st pair before GST = 100 x 2.5 = 250
Usual price for the first pair of floaters before GST = $250
Answer(s): (a) $283; (b) $250
