Usha had some money. She spent 30% on rent and 25% of her remaining money on a vest. She had $189 left.

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

(a)
Percent of Usha's amount left after she spent on rent
= 100% - 30%
= 70%

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

Fraction of Usha's amount left
= 75% x 70% 
= ⁷⁵₁₀₀ x ⁷⁰₁₀₀
= ²¹₄₀

Total amount that Usha had = 40 u
Amount that Usha had left = 21 u

21 u = 189

1 u = 189 ÷ 21 = 9

Amount that Usha had at first
= 40 u
= 40 x 9
= $360

(b)
Fraction of Usha's amount spent on the vest
= 25% x 70% 
= ²⁵₁₀₀ x ⁷⁰₁₀₀ 
= ⁷₄₀

Amount that Usha spent on the vest
= 7 u
= 7 x 9
= $63

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

60% of the price of the vest = 63
1% of the price of the vest = 63 ÷ 60 = 1.05
100% of the price of the vest = 100 x 1.05 = 105

Original price of the vest = $105

Answer(s): (a) $360; (b) $105