PSLE Esther wanted to buy a windbreaker. She saw a gold windbreaker on sale at 20% discount and a white windbreaker at 30% discount. Both windbreakers had the same original price before the discounts. To buy the gold windbreaker, Esther would need $8.90 more that what she had. So Esther bought the white windbreaker. After that, she had $14 left.
- What was the original price of the gold windbreaker?
- How much money did Esther have at first?
|
Gold windbreaker |
White windbreaker |
Before |
100% |
100% |
Change |
- 20% |
- 30% |
After |
80% |
70% |
(a)
Difference in the discount between the gold windbreaker and the white windbreaker
= 30% - 20%
= 10%
Additional amount that Esther needed to pay if she would buy the gold windbreaker
= 8.90 + 14
= $22.90
10% → 22.90
100% →
22.9010 x 100 = 229
Original price of the gold windbreaker = $229
(b)
Price of the white windbreaker after discount in percentage
= 100% - 30%
= 70%
Price of the white windbreaker after discount
=
70100 x 229
= $160.30
Amount that Esther had at first
= 160.30 + 14
= $174.30
Answer(s): (a) $229; (b) $174.30