Mary had some money. She spent 10% on rent and 25% of her remaining money on a jacket. She had $243 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 Mary's amount left after she spent on rent
= 100% - 10%
= 90%
Percent of Mary's remaining amount left after she spent on the jacket
= 100% - 25%
= 75%
Fraction of Mary's amount left
= 75% x 90%
=
75100 x
90100=
2740Total amount that Mary had = 40 u
Amount that Mary had left = 27 u
27 u = 243
1 u = 243 ÷ 27 = 9
Amount that Mary had at first
= 40 u
= 40 x 9
= $360
(b)
Fraction of Mary's amount spent on the jacket
= 25% x 90%
=
25100 x
90100 =
940Amount that Mary spent on the jacket
= 9 u
= 9 x 9
= $81
Discounted price of the jacket in percent
= 100% - 25%
= 75%
75% of the price of the jacket = 81
1% of the price of the jacket = 81 ÷ 75 = 1.08
100% of the price of the jacket = 100 x 1.08 = 108
Original price of the jacket = $108
Answer(s): (a) $360; (b) $108