Shiyun bought 2 pairs of loafers at the store and paid a total amount of $301.93 including 9% GST.
- How much did the 2 pairs of loafers cost before GST?
- The usual price for Shiyun's second pair of loafers was $77 before GST. What was the usual price of her first pair of loafers before GST?
|
Member's Birthday Special
|
|
1st pair of loafers at 20% discount*
2nd pair of loafers at 30% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$110 |
|
| Discount |
- 20% |
- 30% |
|
| Final price |
80% =
$200 |
70% =
$77 |
$277 |
Final price with
GST 9% |
$218 |
$83.93 |
$301.93 |
(a)
Total cost including GST in percentage
= 100% + 9%
= 109%
109% of the cost = 301.93
1% of the cost = 301.93 ÷ 109 = 2.77
100% of the cost = 100 x 2.77 = 277
Cost of the 2 pairs of loafers before GST = $277
(b)
Discounted price of the first pair before GST
= 277 - 77
= $200
Discounted price of the first pair before GST in percentage
= 100% - 20%
= 80%
80% of the price of 1st pair before GST = 200
1% of the price of 1st pair before GST = 200 ÷ 80 = 2.5
100% of the price of the 1st pair before GST = 100 x 2.5 = 250
Usual price for the first pair of loafers before GST = $250
Answer(s): (a) $277; (b) $250
