PSLE Hilda wanted to buy a sweater. She saw a red sweater on sale at 20% discount and a blue sweater at 35% discount. Both sweaters had the same original price before the discounts. To buy the red sweater, Hilda would need $6.40 more that what she had. So Hilda bought the blue sweater. After that, she had $11 left.
- What was the original price of the red sweater?
- How much money did Hilda have at first?
|
Red sweater |
Blue sweater |
Before |
100% |
100% |
Change |
- 20% |
- 35% |
After |
80% |
65% |
(a)
Difference in the discount between the red sweater and the blue sweater
= 35% - 20%
= 15%
Additional amount that Hilda needed to pay if she would buy the red sweater
= 6.40 + 11
= $17.40
15% → 17.40
100% →
17.4015 x 100 = 116
Original price of the red sweater = $116
(b)
Price of the blue sweater after discount in percentage
= 100% - 35%
= 65%
Price of the blue sweater after discount
=
65100 x 116
= $75.40
Amount that Hilda had at first
= 75.40 + 11
= $86.40
Answer(s): (a) $116; (b) $86.40