Emily bought 2 pairs of high heels at the store and paid a total amount of $233.28 including 8% GST.
- How much did the 2 pairs of high heels cost before GST?
- The usual price for Emily's second pair of high heels was $66 before GST. What was the usual price of her first pair of high heels before GST?
Member's Birthday Special
|
1st pair of high heels at 25% discount*
2nd pair of high heels at 40% 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% |
- 40% |
|
Final price |
75% = $150 |
60% = $66 |
$216 |
Final price with GST 8% |
$162 |
$71.28 |
$233.28 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 233.28
1% of the cost = 233.28 ÷ 108 = 2.16
100% of the cost = 100 x 2.16 = 216
Cost of the 2 pairs of high heels before GST = $216
(b)
Discounted price of the first pair before GST
= 216 - 66
= $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 high heels before GST = $200
Answer(s): (a) $216; (b) $200