Jane had some money. She spent 30% on a tour and 25% of her remaining money on a blouse. She had $105 left.
- How much did she have at first?
- If the blouse was bought at a 30% discount, what was the original price of the blouse?
(a)
Percent of Jane's amount left after she spent on a tour
= 100% - 30%
= 70%
Percent of Jane's remaining amount left after she spent on the blouse
= 100% - 25%
= 75%
Fraction of Jane's amount left
= 75% x 70%
=
75100 x
70100=
2140Total amount that Jane had = 40 u
Amount that Jane had left = 21 u
21 u = 105
1 u = 105 ÷ 21 = 5
Amount that Jane had at first
= 40 u
= 40 x 5
= $200
(b)
Fraction of Jane's amount spent on the blouse
= 25% x 70%
=
25100 x
70100 =
740Amount that Jane spent on the blouse
= 7 u
= 7 x 5
= $35
Discounted price of the blouse in percent
= 100% - 30%
= 70%
70% of the price of the blouse = 35
1% of the price of the blouse = 35 ÷ 70 = 0.5
100% of the price of the blouse = 100 x 0.5 = 50
Original price of the blouse = $50
Answer(s): (a) $200; (b) $50