Kylie had some money. She spent 40% on a tour and 25% of her remaining money on a blazer. She had $36 left.

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

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

Percent of Kylie's remaining amount left after she spent on the blazer
= 100% - 25%
= 75%

Fraction of Kylie's amount left
= 75% x 60% 
= ⁷⁵₁₀₀ x ⁶⁰₁₀₀
= ⁹₂₀

Total amount that Kylie had = 20 u
Amount that Kylie had left = 9 u

9 u = 36

1 u = 36 ÷ 9 = 4

Amount that Kylie had at first
= 20 u
= 20 x 4
= $80

(b)
Fraction of Kylie's amount spent on the blazer
= 25% x 60% 
= ²⁵₁₀₀ x ⁶⁰₁₀₀ 
= ³₂₀

Amount that Kylie spent on the blazer
= 3 u
= 3 x 4
= $12

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

75% of the price of the blazer = 12
1% of the price of the blazer = 12 ÷ 75 = 0.16
100% of the price of the blazer = 100 x 0.16 = 16

Original price of the blazer = $16

Answer(s): (a) $80; (b) $16