PSLE
Penelope wanted to buy a sweater. She saw a purple sweater on sale at 20% discount and a silver sweater at 40% discount. Both sweaters had the same original price before the discounts. To buy the purple sweater, Penelope would need $6.20 more that what she had. So Penelope bought the silver sweater. After that, she had $13 left.

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

	Purple sweater	Silver sweater
Before	100%	100%
Change	- 20%	- 40%
After	80%	60%

(a)
Difference in the discount between the purple sweater and the silver sweater
= 40% - 20%
= 20%

Additional amount that Penelope needed to pay if she would buy the purple sweater
= 6.20 + 13
= $19.20

20% →  19.20
100% → ^19.20₂₀ x 100 = 96

Original price of the purple sweater = $96

(b)
Price of the silver sweater after discount in percentage
= 100% - 40%
= 60%

Price of the silver sweater after discount
= ⁶⁰₁₀₀ x 96
= $57.60

Amount that Penelope had at first
= 57.60 + 13
= $70.60

Answer(s): (a) $96; (b) $70.60