Zara had some money. She spent 10% on a tour and 30% of her remaining money on a dress. She had $441 left.

1. How much did she have at first?
2. If the dress was bought at a 30% discount, what was the original price of the dress?

(a)
Percent of Zara's amount left after she spent on a tour
= 100% - 10%
= 90%

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

Fraction of Zara's amount left
= 70% x 90% 
= ⁷⁰₁₀₀ x ⁹⁰₁₀₀
= ⁶³₁₀₀

Total amount that Zara had = 100 u
Amount that Zara had left = 63 u

63 u = 441

1 u = 441 ÷ 63 = 7

Amount that Zara had at first
= 100 u
= 100 x 7
= $700

(b)
Fraction of Zara's amount spent on the dress
= 30% x 90% 
= ³⁰₁₀₀ x ⁹⁰₁₀₀ 
= ²⁷₁₀₀

Amount that Zara spent on the dress
= 27 u
= 27 x 7
= $189

Discounted price of the dress in percent
= 100% - 30%
= 70%

70% of the price of the dress = 189
1% of the price of the dress = 189 ÷ 70 = 2.7
100% of the price of the dress = 100 x 2.7 = 270

Original price of the dress = $270

Answer(s): (a) $700; (b) $270