Hazel bought 2 pairs of shoes at the store and paid a total amount of $317.19 including 9% GST.
- How much did the 2 pairs of shoes cost before GST?
- The usual price for Hazel's second pair of shoes was $91 before GST. What was the usual price of her first pair of shoes before GST?
Member's Birthday Special
|
1st pair of shoes at 20% discount*
2nd pair of shoes at 30% discount*
*before GST #2nd pair must be cheaper or equal in price.
|
|
1st pair |
2nd pair |
Total |
Selling price |
100% = $250 |
100% = $130 |
|
Discount |
- 20% |
- 30% |
|
Final price |
80% = $200 |
70% = $91 |
$291 |
Final price with GST 9% |
$218 |
$99.19 |
$317.19 |
(a)
Total cost including GST in percentage
= 100% + 9%
= 109%
109% of the cost = 317.19
1% of the cost = 317.19 ÷ 109 = 2.91
100% of the cost = 100 x 2.91 = 291
Cost of the 2 pairs of shoes before GST = $291
(b)
Discounted price of the first pair before GST
= 291 - 91
= $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 shoes before GST = $250
Answer(s): (a) $291; (b) $250