Eva had some money. She spent 40% on rent and 20% of her remaining money on a shirt. She had $60 left.

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

(a)
Percent of Eva's amount left after she spent on rent
= 100% - 40%
= 60%

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

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

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

12 u = 60

1 u = 60 ÷ 12 = 5

Amount that Eva had at first
= 25 u
= 25 x 5
= $125

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

Amount that Eva spent on the shirt
= 3 u
= 3 x 5
= $15

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

75% of the price of the shirt = 15
1% of the price of the shirt = 15 ÷ 75 = 0.2
100% of the price of the shirt = 100 x 0.2 = 20

Original price of the shirt = $20

Answer(s): (a) $125; (b) $20