Zara had some money. She spent 10% on books and 25% of her remaining money on a jumpsuit. She had $216 left.

1. How much did she have at first?
2. If the jumpsuit was bought at a 20% discount, what was the original price of the jumpsuit?

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

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

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

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

27 u = 216

1 u = 216 ÷ 27 = 8

Amount that Zara had at first
= 40 u
= 40 x 8
= $320

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

Amount that Zara spent on the jumpsuit
= 9 u
= 9 x 8
= $72

Discounted price of the jumpsuit in percent
= 100% - 20%
= 80%

80% of the price of the jumpsuit = 72
1% of the price of the jumpsuit = 72 ÷ 80 = 0.9
100% of the price of the jumpsuit = 100 x 0.9 = 90

Original price of the jumpsuit = $90

Answer(s): (a) $320; (b) $90