Sabrina had some money. She spent 20% on rent and 10% of her remaining money on a jacket. She had $216 left.
- How much did she have at first?
- If the jacket was bought at a 25% discount, what was the original price of the jacket?
(a)
Percent of Sabrina's amount left after she spent on rent
= 100% - 20%
= 80%
Percent of Sabrina's remaining amount left after she spent on the jacket
= 100% - 10%
= 90%
Fraction of Sabrina's amount left
= 90% x 80%
=
90100 x
80100=
1825Total amount that Sabrina had = 25 u
Amount that Sabrina had left = 18 u
18 u = 216
1 u = 216 ÷ 18 = 12
Amount that Sabrina had at first
= 25 u
= 25 x 12
= $300
(b)
Fraction of Sabrina's amount spent on the jacket
= 10% x 80%
=
10100 x
80100 =
225Amount that Sabrina spent on the jacket
= 2 u
= 2 x 12
= $24
Discounted price of the jacket in percent
= 100% - 25%
= 75%
75% of the price of the jacket = 24
1% of the price of the jacket = 24 ÷ 75 = 0.32
100% of the price of the jacket = 100 x 0.32 = 32
Original price of the jacket = $32
Answer(s): (a) $300; (b) $32