PSLE Penelope wanted to buy a skirt. She saw a brown skirt on sale at 10% discount and a black skirt at 30% discount. Both skirts had the same original price before the discounts. To buy the brown skirt, Penelope would need $6.40 more that what she had. So Penelope bought the black skirt. After that, she had $9 left.
- What was the original price of the brown skirt?
- How much money did Penelope have at first?
|
Brown skirt |
Black skirt |
Before |
100% |
100% |
Change |
- 10% |
- 30% |
After |
90% |
70% |
(a)
Difference in the discount between the brown skirt and the black skirt
= 30% - 10%
= 20%
Additional amount that Penelope needed to pay if she would buy the brown skirt
= 6.40 + 9
= $15.40
20% → 15.40
100% →
15.4020 x 100 = 77
Original price of the brown skirt = $77
(b)
Price of the black skirt after discount in percentage
= 100% - 30%
= 70%
Price of the black skirt after discount
=
70100 x 77
= $53.90
Amount that Penelope had at first
= 53.90 + 9
= $62.90
Answer(s): (a) $77; (b) $62.90