Nicole had some money. She spent 10% on books and 25% of her remaining money on a jumpsuit. She had $405 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 Nicole's amount left after she spent on books
= 100% - 10%
= 90%

Percent of Nicole's remaining amount left after she spent on the jumpsuit
= 100% - 25%
= 75%

Fraction of Nicole's amount left
= 75% x 90% 
= ⁷⁵₁₀₀ x ⁹⁰₁₀₀
= ²⁷₄₀

Total amount that Nicole had = 40 u
Amount that Nicole had left = 27 u

27 u = 405

1 u = 405 ÷ 27 = 15

Amount that Nicole had at first
= 40 u
= 40 x 15
= $600

(b)
Fraction of Nicole's amount spent on the jumpsuit
= 25% x 90% 
= ²⁵₁₀₀ x ⁹⁰₁₀₀ 
= ⁹₄₀

Amount that Nicole spent on the jumpsuit
= 9 u
= 9 x 15
= $135

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

75% of the price of the jumpsuit = 135
1% of the price of the jumpsuit = 135 ÷ 75 = 1.8
100% of the price of the jumpsuit = 100 x 1.8 = 180

Original price of the jumpsuit = $180

Answer(s): (a) $600; (b) $180