Marion had some money. She spent 40% on a tour and 20% of her remaining money on a blouse. She had $120 left.
- How much did she have at first?
- If the blouse was bought at a 40% discount, what was the original price of the blouse?
(a)
Percent of Marion's amount left after she spent on a tour
= 100% - 40%
= 60%
Percent of Marion's remaining amount left after she spent on the blouse
= 100% - 20%
= 80%
Fraction of Marion's amount left
= 80% x 60%
=
80100 x
60100=
1225Total amount that Marion had = 25 u
Amount that Marion had left = 12 u
12 u = 120
1 u = 120 ÷ 12 = 10
Amount that Marion had at first
= 25 u
= 25 x 10
= $250
(b)
Fraction of Marion's amount spent on the blouse
= 20% x 60%
=
20100 x
60100 =
325Amount that Marion spent on the blouse
= 3 u
= 3 x 10
= $30
Discounted price of the blouse in percent
= 100% - 40%
= 60%
60% of the price of the blouse = 30
1% of the price of the blouse = 30 ÷ 60 = 0.5
100% of the price of the blouse = 100 x 0.5 = 50
Original price of the blouse = $50
Answer(s): (a) $250; (b) $50