Sabrina had some money. She spent 20% on rent and 40% of her remaining money on a blouse. She had $108 left.

1. How much did she have at first?
2. If the blouse was bought at a 25% discount, what was the original price of the blouse?

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

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

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

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

12 u = 108

1 u = 108 ÷ 12 = 9

Amount that Sabrina had at first
= 25 u
= 25 x 9
= $225

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

Amount that Sabrina spent on the blouse
= 8 u
= 8 x 9
= $72

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

75% of the price of the blouse = 72
1% of the price of the blouse = 72 ÷ 75 = 0.96
100% of the price of the blouse = 100 x 0.96 = 96

Original price of the blouse = $96

Answer(s): (a) $225; (b) $96