PSLE
Natalie wanted to buy a jacket. She saw a gold jacket on sale at 10% discount and a blue jacket at 25% discount. Both jackets had the same original price before the discounts. To buy the gold jacket, Natalie would need $9.90 more that what she had. So Natalie bought the blue jacket. After that, she had $3 left.

1. What was the original price of the gold jacket?
2. How much money did Natalie have at first?

	Gold jacket	Blue jacket
Before	100%	100%
Change	- 10%	- 25%
After	90%	75%

(a)
Difference in the discount between the gold jacket and the blue jacket
= 25% - 10%
= 15%

Additional amount that Natalie needed to pay if she would buy the gold jacket
= 9.90 + 3
= $12.90

15% →  12.90
100% → ^12.90₁₅ x 100 = 86

Original price of the gold jacket = $86

(b)
Price of the blue jacket after discount in percentage
= 100% - 25%
= 75%

Price of the blue jacket after discount
= ⁷⁵₁₀₀ x 86
= $64.50

Amount that Natalie had at first
= 64.50 + 3
= $67.50

Answer(s): (a) $86; (b) $67.50