PSLE
Gwen wanted to buy a vest. She saw a purple vest on sale at 20% discount and a brown vest at 35% discount. Both vests had the same original price before the discounts. To buy the purple vest, Gwen would need $5.30 more that what she had. So Gwen bought the brown vest. After that, she had $1 left.

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

	Purple vest	Brown vest
Before	100%	100%
Change	- 20%	- 35%
After	80%	65%

(a)
Difference in the discount between the purple vest and the brown vest
= 35% - 20%
= 15%

Additional amount that Gwen needed to pay if she would buy the purple vest
= 5.30 + 1
= $6.30

15% →  6.30
100% → ^6.30₁₅ x 100 = 42

Original price of the purple vest = $42

(b)
Price of the brown vest after discount in percentage
= 100% - 35%
= 65%

Price of the brown vest after discount
= ⁶⁵₁₀₀ x 42
= $27.30

Amount that Gwen had at first
= 27.30 + 1
= $28.30

Answer(s): (a) $42; (b) $28.30