Mary had some money. She spent 40% on food and 20% of her remaining money on a jumpsuit. She had $156 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 Mary's amount left after she spent on food
= 100% - 40%
= 60%

Percent of Mary's remaining amount left after she spent on the jumpsuit
= 100% - 20%
= 80%

Fraction of Mary's amount left
= 80% x 60% 
= ⁸⁰₁₀₀ x ⁶⁰₁₀₀
= ¹²₂₅

Total amount that Mary had = 25 u
Amount that Mary had left = 12 u

12 u = 156

1 u = 156 ÷ 12 = 13

Amount that Mary had at first
= 25 u
= 25 x 13
= $325

(b)
Fraction of Mary's amount spent on the jumpsuit
= 20% x 60% 
= ²⁰₁₀₀ x ⁶⁰₁₀₀ 
= ³₂₅

Amount that Mary spent on the jumpsuit
= 3 u
= 3 x 13
= $39

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

75% of the price of the jumpsuit = 39
1% of the price of the jumpsuit = 39 ÷ 75 = 0.52
100% of the price of the jumpsuit = 100 x 0.52 = 52

Original price of the jumpsuit = $52

Answer(s): (a) $325; (b) $52