Jane had some money. She spent 50% on a tour and 30% of her remaining money on a jumpsuit. She had $70 left.

1. How much did she have at first?
2. If the jumpsuit was bought at a 40% discount, what was the original price of the jumpsuit?

(a)
Percent of Jane's amount left after she spent on a tour
= 100% - 50%
= 50%

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

Fraction of Jane's amount left
= 70% x 50% 
= ⁷⁰₁₀₀ x ⁵⁰₁₀₀
= ⁷₂₀

Total amount that Jane had = 20 u
Amount that Jane had left = 7 u

7 u = 70

1 u = 70 ÷ 7 = 10

Amount that Jane had at first
= 20 u
= 20 x 10
= $200

(b)
Fraction of Jane's amount spent on the jumpsuit
= 30% x 50% 
= ³⁰₁₀₀ x ⁵⁰₁₀₀ 
= ³₂₀

Amount that Jane spent on the jumpsuit
= 3 u
= 3 x 10
= $30

Discounted price of the jumpsuit in percent
= 100% - 40%
= 60%

60% of the price of the jumpsuit = 30
1% of the price of the jumpsuit = 30 ÷ 60 = 0.5
100% of the price of the jumpsuit = 100 x 0.5 = 50

Original price of the jumpsuit = $50

Answer(s): (a) $200; (b) $50