Zara had some money. She spent 20% on books and 30% of her remaining money on a jumpsuit. She had $98 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 Zara's amount left after she spent on books
= 100% - 20%
= 80%
Percent of Zara's remaining amount left after she spent on the jumpsuit
= 100% - 30%
= 70%
Fraction of Zara's amount left
= 70% x 80%
=
70100 x
80100=
1425Total amount that Zara had = 25 u
Amount that Zara had left = 14 u
14 u = 98
1 u = 98 ÷ 14 = 7
Amount that Zara had at first
= 25 u
= 25 x 7
= $175
(b)
Fraction of Zara's amount spent on the jumpsuit
= 30% x 80%
=
30100 x
80100 =
625Amount that Zara spent on the jumpsuit
= 6 u
= 6 x 7
= $42
Discounted price of the jumpsuit in percent
= 100% - 30%
= 70%
70% of the price of the jumpsuit = 42
1% of the price of the jumpsuit = 42 ÷ 70 = 0.6
100% of the price of the jumpsuit = 100 x 0.6 = 60
Original price of the jumpsuit = $60
Answer(s): (a) $175; (b) $60