PSLE Fiona wanted to buy a sweater. She saw a green sweater on sale at 10% discount and a gold sweater at 30% discount. Both sweaters had the same original price before the discounts. To buy the green sweater, Fiona would need $5.40 more that what she had. So Fiona bought the gold sweater. After that, she had $17 left.
- What was the original price of the green sweater?
- How much money did Fiona have at first?
|
Green sweater |
Gold sweater |
Before |
100% |
100% |
Change |
- 10% |
- 30% |
After |
90% |
70% |
(a)
Difference in the discount between the green sweater and the gold sweater
= 30% - 10%
= 20%
Additional amount that Fiona needed to pay if she would buy the green sweater
= 5.40 + 17
= $22.40
20% → 22.40
100% →
22.4020 x 100 = 112
Original price of the green sweater = $112
(b)
Price of the gold sweater after discount in percentage
= 100% - 30%
= 70%
Price of the gold sweater after discount
=
70100 x 112
= $78.40
Amount that Fiona had at first
= 78.40 + 17
= $95.40
Answer(s): (a) $112; (b) $95.40