Nora had some money. She spent 40% on books and 20% of her remaining money on a blouse. She had $144 left.
- How much did she have at first?
- If the blouse was bought at a 25% discount, what was the original price of the blouse?
(a)
Percent of Nora's amount left after she spent on books
= 100% - 40%
= 60%
Percent of Nora's remaining amount left after she spent on the blouse
= 100% - 20%
= 80%
Fraction of Nora's amount left
= 80% x 60%
=
80100 x
60100=
1225Total amount that Nora had = 25 u
Amount that Nora had left = 12 u
12 u = 144
1 u = 144 ÷ 12 = 12
Amount that Nora had at first
= 25 u
= 25 x 12
= $300
(b)
Fraction of Nora's amount spent on the blouse
= 20% x 60%
=
20100 x
60100 =
325Amount that Nora spent on the blouse
= 3 u
= 3 x 12
= $36
Discounted price of the blouse in percent
= 100% - 25%
= 75%
75% of the price of the blouse = 36
1% of the price of the blouse = 36 ÷ 75 = 0.48
100% of the price of the blouse = 100 x 0.48 = 48
Original price of the blouse = $48
Answer(s): (a) $300; (b) $48