PSLE
Olivia wanted to buy a skirt. She saw a purple skirt on sale at 15% discount and a yellow skirt at 30% discount. Both skirts had the same original price before the discounts. To buy the purple skirt, Olivia would need $6.70 more that what she had. So Olivia bought the yellow skirt. After that, she had $8 left.

1. What was the original price of the purple skirt?
2. How much money did Olivia have at first?

	Purple skirt	Yellow skirt
Before	100%	100%
Change	- 15%	- 30%
After	85%	70%

(a)
Difference in the discount between the purple skirt and the yellow skirt
= 30% - 15%
= 15%

Additional amount that Olivia needed to pay if she would buy the purple skirt
= 6.70 + 8
= $14.70

15% →  14.70
100% → ^14.70₁₅ x 100 = 98

Original price of the purple skirt = $98

(b)
Price of the yellow skirt after discount in percentage
= 100% - 30%
= 70%

Price of the yellow skirt after discount
= ⁷⁰₁₀₀ x 98
= $68.60

Amount that Olivia had at first
= 68.60 + 8
= $76.60

Answer(s): (a) $98; (b) $76.60