PSLE Xylia wanted to buy a sweater. She saw a grey sweater on sale at 10% discount and a brown sweater at 30% discount. Both sweaters had the same original price before the discounts. To buy the grey sweater, Xylia would need $8.80 more that what she had. So Xylia bought the brown sweater. After that, she had $1 left.
- What was the original price of the grey sweater?
- How much money did Xylia have at first?
|
Grey sweater |
Brown sweater |
Before |
100% |
100% |
Change |
- 10% |
- 30% |
After |
90% |
70% |
(a)
Difference in the discount between the grey sweater and the brown sweater
= 30% - 10%
= 20%
Additional amount that Xylia needed to pay if she would buy the grey sweater
= 8.80 + 1
= $9.80
20% → 9.80
100% →
9.8020 x 100 = 49
Original price of the grey sweater = $49
(b)
Price of the brown sweater after discount in percentage
= 100% - 30%
= 70%
Price of the brown sweater after discount
=
70100 x 49
= $34.30
Amount that Xylia had at first
= 34.30 + 1
= $35.30
Answer(s): (a) $49; (b) $35.30