PSLE
Gillian wanted to buy a coat. She saw a red coat on sale at 20% discount and a black coat at 30% discount. Both coats had the same original price before the discounts. To buy the red coat, Gillian would need $5.80 more that what she had. So Gillian bought the black coat. After that, she had $18 left.

1. What was the original price of the red coat?
2. How much money did Gillian have at first?

	Red coat	Black coat
Before	100%	100%
Change	- 20%	- 30%
After	80%	70%

(a)
Difference in the discount between the red coat and the black coat
= 30% - 20%
= 10%

Additional amount that Gillian needed to pay if she would buy the red coat
= 5.80 + 18
= $23.80

10% →  23.80
100% → ^23.80₁₀ x 100 = 238

Original price of the red coat = $238

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

Price of the black coat after discount
= ⁷⁰₁₀₀ x 238
= $166.60

Amount that Gillian had at first
= 166.60 + 18
= $184.60

Answer(s): (a) $238; (b) $184.60