PSLE
Yen wanted to buy a coat. She saw a yellow coat on sale at 10% discount and a gold coat at 20% discount. Both coats had the same original price before the discounts. To buy the yellow coat, Yen would need $8.40 more that what she had. So Yen bought the gold coat. After that, she had $4 left.

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

	Yellow coat	Gold coat
Before	100%	100%
Change	- 10%	- 20%
After	90%	80%

(a)
Difference in the discount between the yellow coat and the gold coat
= 20% - 10%
= 10%

Additional amount that Yen needed to pay if she would buy the yellow coat
= 8.40 + 4
= $12.40

10% →  12.40
100% → ^12.40₁₀ x 100 = 124

Original price of the yellow coat = $124

(b)
Price of the gold coat after discount in percentage
= 100% - 20%
= 80%

Price of the gold coat after discount
= ⁸⁰₁₀₀ x 124
= $99.20

Amount that Yen had at first
= 99.20 + 4
= $103.20

Answer(s): (a) $124; (b) $103.20