Min had some money. She spent 20% on rent and 40% of her remaining money on a coat. She had $168 left.

1. How much did she have at first?
2. If the coat was bought at a 30% discount, what was the original price of the coat?

(a)
Percent of Min's amount left after she spent on rent
= 100% - 20%
= 80%

Percent of Min's remaining amount left after she spent on the coat
= 100% - 40%
= 60%

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

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

12 u = 168

1 u = 168 ÷ 12 = 14

Amount that Min had at first
= 25 u
= 25 x 14
= $350

(b)
Fraction of Min's amount spent on the coat
= 40% x 80% 
= ⁴⁰₁₀₀ x ⁸⁰₁₀₀ 
= ⁸₂₅

Amount that Min spent on the coat
= 8 u
= 8 x 14
= $112

Discounted price of the coat in percent
= 100% - 30%
= 70%

70% of the price of the coat = 112
1% of the price of the coat = 112 ÷ 70 = 1.6
100% of the price of the coat = 100 x 1.6 = 160

Original price of the coat = $160

Answer(s): (a) $350; (b) $160