Xuan bought 2 pairs of floaters at the store and paid a total amount of $245.16 including 8% GST.
- How much did the 2 pairs of floaters cost before GST?
- The usual price for Xuan's second pair of floaters was $77 before GST. What was the usual price of her first pair of floaters before GST?
|
Member's Birthday Special
|
|
1st pair of floaters at 25% discount*
2nd pair of floaters at 30% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$200 |
100% =
$110 |
|
| Discount |
- 25% |
- 30% |
|
| Final price |
75% =
$150 |
70% =
$77 |
$227 |
Final price with
GST 8% |
$162 |
$83.16 |
$245.16 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 245.16
1% of the cost = 245.16 ÷ 108 = 2.27
100% of the cost = 100 x 2.27 = 227
Cost of the 2 pairs of floaters before GST = $227
(b)
Discounted price of the first pair before GST
= 227 - 77
= $150
Discounted price of the first pair before GST in percentage
= 100% - 25%
= 75%
75% of the price of 1st pair before GST = 150
1% of the price of 1st pair before GST = 150 ÷ 75 = 2
100% of the price of the 1st pair before GST = 100 x 2 = 200
Usual price for the first pair of floaters before GST = $200
Answer(s): (a) $227; (b) $200
