Xuan had some money. She spent 30% on rent and 10% of her remaining money on a dress. She had $378 left.
- How much did she have at first?
- If the dress was bought at a 30% discount, what was the original price of the dress?
(a)
Percent of Xuan's amount left after she spent on rent
= 100% - 30%
= 70%
Percent of Xuan's remaining amount left after she spent on the dress
= 100% - 10%
= 90%
Fraction of Xuan's amount left
= 90% x 70%
=
90100 x
70100=
63100Total amount that Xuan had = 100 u
Amount that Xuan had left = 63 u
63 u = 378
1 u = 378 ÷ 63 = 6
Amount that Xuan had at first
= 100 u
= 100 x 6
= $600
(b)
Fraction of Xuan's amount spent on the dress
= 10% x 70%
=
10100 x
70100 =
7100Amount that Xuan spent on the dress
= 7 u
= 7 x 6
= $42
Discounted price of the dress in percent
= 100% - 30%
= 70%
70% of the price of the dress = 42
1% of the price of the dress = 42 ÷ 70 = 0.6
100% of the price of the dress = 100 x 0.6 = 60
Original price of the dress = $60
Answer(s): (a) $600; (b) $60