Shiyun had some money. She spent 10% on a tour and 30% of her remaining money on a jumpsuit. She had $189 left.

1. How much did she have at first?
2. If the jumpsuit was bought at a 25% discount, what was the original price of the jumpsuit?

(a)
Percent of Shiyun's amount left after she spent on a tour
= 100% - 10%
= 90%

Percent of Shiyun's remaining amount left after she spent on the jumpsuit
= 100% - 30%
= 70%

Fraction of Shiyun's amount left
= 70% x 90% 
= ⁷⁰₁₀₀ x ⁹⁰₁₀₀
= ⁶³₁₀₀

Total amount that Shiyun had = 100 u
Amount that Shiyun had left = 63 u

63 u = 189

1 u = 189 ÷ 63 = 3

Amount that Shiyun had at first
= 100 u
= 100 x 3
= $300

(b)
Fraction of Shiyun's amount spent on the jumpsuit
= 30% x 90% 
= ³⁰₁₀₀ x ⁹⁰₁₀₀ 
= ²⁷₁₀₀

Amount that Shiyun spent on the jumpsuit
= 27 u
= 27 x 3
= $81

Discounted price of the jumpsuit in percent
= 100% - 25%
= 75%

75% of the price of the jumpsuit = 81
1% of the price of the jumpsuit = 81 ÷ 75 = 1.08
100% of the price of the jumpsuit = 100 x 1.08 = 108

Original price of the jumpsuit = $108

Answer(s): (a) $300; (b) $108