Irene had some money. She spent 30% on rent and 10% of her remaining money on a jumpsuit. She had $441 left.
- How much did she have at first?
- If the jumpsuit was bought at a 30% discount, what was the original price of the jumpsuit?
(a)
Percent of Irene's amount left after she spent on rent
= 100% - 30%
= 70%
Percent of Irene's remaining amount left after she spent on the jumpsuit
= 100% - 10%
= 90%
Fraction of Irene's amount left
= 90% x 70%
=
90100 x
70100=
63100Total amount that Irene had = 100 u
Amount that Irene had left = 63 u
63 u = 441
1 u = 441 ÷ 63 = 7
Amount that Irene had at first
= 100 u
= 100 x 7
= $700
(b)
Fraction of Irene's amount spent on the jumpsuit
= 10% x 70%
=
10100 x
70100 =
7100Amount that Irene spent on the jumpsuit
= 7 u
= 7 x 7
= $49
Discounted price of the jumpsuit in percent
= 100% - 30%
= 70%
70% of the price of the jumpsuit = 49
1% of the price of the jumpsuit = 49 ÷ 70 = 0.7
100% of the price of the jumpsuit = 100 x 0.7 = 70
Original price of the jumpsuit = $70
Answer(s): (a) $700; (b) $70