Yen had some money. She spent 25% on food and 10% of her remaining money on a jumpsuit. She had $378 left.
- How much did she have at first?
- If the jumpsuit was bought at a 25% discount, what was the original price of the jumpsuit?
(a)
Percent of Yen's amount left after she spent on food
= 100% - 25%
= 75%
Percent of Yen's remaining amount left after she spent on the jumpsuit
= 100% - 10%
= 90%
Fraction of Yen's amount left
= 90% x 75%
=
90100 x
75100=
2740Total amount that Yen had = 40 u
Amount that Yen had left = 27 u
27 u = 378
1 u = 378 ÷ 27 = 14
Amount that Yen had at first
= 40 u
= 40 x 14
= $560
(b)
Fraction of Yen's amount spent on the jumpsuit
= 10% x 75%
=
10100 x
75100 =
340Amount that Yen spent on the jumpsuit
= 3 u
= 3 x 14
= $42
Discounted price of the jumpsuit in percent
= 100% - 25%
= 75%
75% of the price of the jumpsuit = 42
1% of the price of the jumpsuit = 42 ÷ 75 = 0.56
100% of the price of the jumpsuit = 100 x 0.56 = 56
Original price of the jumpsuit = $56
Answer(s): (a) $560; (b) $56