PSLE Xylia wanted to buy a jumpsuit. She saw a gold jumpsuit on sale at 20% discount and a yellow jumpsuit at 40% discount. Both jumpsuits had the same original price before the discounts. To buy the gold jumpsuit, Xylia would need $8.60 more that what she had. So Xylia bought the yellow jumpsuit. After that, she had $14 left.
- What was the original price of the gold jumpsuit?
- How much money did Xylia have at first?
|
Gold jumpsuit |
Yellow jumpsuit |
Before |
100% |
100% |
Change |
- 20% |
- 40% |
After |
80% |
60% |
(a)
Difference in the discount between the gold jumpsuit and the yellow jumpsuit
= 40% - 20%
= 20%
Additional amount that Xylia needed to pay if she would buy the gold jumpsuit
= 8.60 + 14
= $22.60
20% → 22.60
100% →
22.6020 x 100 = 113
Original price of the gold jumpsuit = $113
(b)
Price of the yellow jumpsuit after discount in percentage
= 100% - 40%
= 60%
Price of the yellow jumpsuit after discount
=
60100 x 113
= $67.80
Amount that Xylia had at first
= 67.80 + 14
= $81.80
Answer(s): (a) $113; (b) $81.80