Mary had some money. She spent 10% on rent and 30% of her remaining money on a blouse. She had $630 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 Mary's amount left after she spent on rent
= 100% - 10%
= 90%
Percent of Mary's remaining amount left after she spent on the blouse
= 100% - 30%
= 70%
Fraction of Mary's amount left
= 70% x 90%
=
70100 x
90100=
63100Total amount that Mary had = 100 u
Amount that Mary had left = 63 u
63 u = 630
1 u = 630 ÷ 63 = 10
Amount that Mary had at first
= 100 u
= 100 x 10
= $1000
(b)
Fraction of Mary's amount spent on the blouse
= 30% x 90%
=
30100 x
90100 =
27100Amount that Mary spent on the blouse
= 27 u
= 27 x 10
= $270
Discounted price of the blouse in percent
= 100% - 25%
= 75%
75% of the price of the blouse = 270
1% of the price of the blouse = 270 ÷ 75 = 3.6
100% of the price of the blouse = 100 x 3.6 = 360
Original price of the blouse = $360
Answer(s): (a) $1000; (b) $360