PSLE
Xuan wanted to buy a jumpsuit. She saw a red jumpsuit on sale at 10% discount and a silver jumpsuit at 20% discount. Both jumpsuits had the same original price before the discounts. To buy the red jumpsuit, Xuan would need $5.90 more that what she had. So Xuan bought the silver jumpsuit. After that, she had $11 left.

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

	Red jumpsuit	Silver jumpsuit
Before	100%	100%
Change	- 10%	- 20%
After	90%	80%

(a)
Difference in the discount between the red jumpsuit and the silver jumpsuit
= 20% - 10%
= 10%

Additional amount that Xuan needed to pay if she would buy the red jumpsuit
= 5.90 + 11
= $16.90

10% →  16.90
100% → ^16.90₁₀ x 100 = 169

Original price of the red jumpsuit = $169

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

Price of the silver jumpsuit after discount
= ⁸⁰₁₀₀ x 169
= $135.20

Amount that Xuan had at first
= 135.20 + 11
= $146.20

Answer(s): (a) $169; (b) $146.20