Emily bought 2 pairs of slippers at the store and paid a total amount of $336.96 including 8% GST.
- How much did the 2 pairs of slippers cost before GST?
- The usual price for Emily's second pair of slippers was $112 before GST. What was the usual price of her first pair of slippers before GST?
|
Member's Birthday Special
|
|
1st pair of slippers at 20% discount*
2nd pair of slippers at 30% discount*
*before GST
#2nd pair must be cheaper or equal in price.
|
| |
1st pair |
2nd pair |
Total |
| Selling price |
100% =
$250 |
100% =
$160 |
|
| Discount |
- 20% |
- 30% |
|
| Final price |
80% =
$200 |
70% =
$112 |
$312 |
Final price with
GST 8% |
$216 |
$120.96 |
$336.96 |
(a)
Total cost including GST in percentage
= 100% + 8%
= 108%
108% of the cost = 336.96
1% of the cost = 336.96 ÷ 108 = 3.12
100% of the cost = 100 x 3.12 = 312
Cost of the 2 pairs of slippers before GST = $312
(b)
Discounted price of the first pair before GST
= 312 - 112
= $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 slippers before GST = $250
Answer(s): (a) $312; (b) $250
