Usha had some money. She spent 50% on food and 30% of her remaining money on a blouse. She had $28 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 Usha's amount left after she spent on food
= 100% - 50%
= 50%

Percent of Usha's remaining amount left after she spent on the blouse
= 100% - 30%
= 70%

Fraction of Usha's amount left
= 70% x 50% 
= ⁷⁰₁₀₀ x ⁵⁰₁₀₀
= ⁷₂₀

Total amount that Usha had = 20 u
Amount that Usha had left = 7 u

7 u = 28

1 u = 28 ÷ 7 = 4

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

(b)
Fraction of Usha's amount spent on the blouse
= 30% x 50% 
= ³⁰₁₀₀ x ⁵⁰₁₀₀ 
= ³₂₀

Amount that Usha spent on the blouse
= 3 u
= 3 x 4
= $12

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

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

Original price of the blouse = $16

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