Gabby bought 2 pairs of loafers at the store and paid a total amount of $304.95 including 7% GST.
- How much did the 2 pairs of loafers cost before GST?
- The usual price for Gabby's second pair of loafers was $85 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 50% discount*
*before GST #2nd pair must be cheaper or equal in price.
|
|
1st pair |
2nd pair |
Total |
Selling price |
100% = $250 |
100% = $170 |
|
Discount |
- 20% |
- 50% |
|
Final price |
80% = $200 |
50% = $85 |
$285 |
Final price with GST 7% |
$214 |
$90.95 |
$304.95 |
(a)
Total cost including GST in percentage
= 100% + 7%
= 107%
107% of the cost = 304.95
1% of the cost = 304.95 ÷ 107 = 2.85
100% of the cost = 100 x 2.85 = 285
Cost of the 2 pairs of loafers before GST = $285
(b)
Discounted price of the first pair before GST
= 285 - 85
= $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) $285; (b) $250