Jane had some money. She spent 20% on rent and 40% of her remaining money on a coat. She had $108 left.
- How much did she have at first?
- If the coat was bought at a 40% discount, what was the original price of the coat?
(a)
Percent of Jane's amount left after she spent on rent
= 100% - 20%
= 80%
Percent of Jane's remaining amount left after she spent on the coat
= 100% - 40%
= 60%
Fraction of Jane's amount left
= 60% x 80%
=
60100 x
80100=
1225Total amount that Jane had = 25 u
Amount that Jane had left = 12 u
12 u = 108
1 u = 108 ÷ 12 = 9
Amount that Jane had at first
= 25 u
= 25 x 9
= $225
(b)
Fraction of Jane's amount spent on the coat
= 40% x 80%
=
40100 x
80100 =
825Amount that Jane spent on the coat
= 8 u
= 8 x 9
= $72
Discounted price of the coat in percent
= 100% - 40%
= 60%
60% of the price of the coat = 72
1% of the price of the coat = 72 ÷ 60 = 1.2
100% of the price of the coat = 100 x 1.2 = 120
Original price of the coat = $120
Answer(s): (a) $225; (b) $120