PSLE Opal wanted to buy a shirt. She saw a black shirt on sale at 20% discount and a brown shirt at 30% discount. Both shirts had the same original price before the discounts. To buy the black shirt, Opal would need $7.50 more that what she had. So Opal bought the brown shirt. After that, she had $19 left.
- What was the original price of the black shirt?
- How much money did Opal have at first?
|
Black shirt |
Brown shirt |
Before |
100% |
100% |
Change |
- 20% |
- 30% |
After |
80% |
70% |
(a)
Difference in the discount between the black shirt and the brown shirt
= 30% - 20%
= 10%
Additional amount that Opal needed to pay if she would buy the black shirt
= 7.50 + 19
= $26.50
10% → 26.50
100% →
26.5010 x 100 = 265
Original price of the black shirt = $265
(b)
Price of the brown shirt after discount in percentage
= 100% - 30%
= 70%
Price of the brown shirt after discount
=
70100 x 265
= $185.50
Amount that Opal had at first
= 185.50 + 19
= $204.50
Answer(s): (a) $265; (b) $204.50