Yen had some money. She spent 40% on food and 10% of her remaining money on a blazer. She had $81 left.
- How much did she have at first?
- If the blazer was bought at a 40% discount, what was the original price of the blazer?
(a)
Percent of Yen's amount left after she spent on food
= 100% - 40%
= 60%
Percent of Yen's remaining amount left after she spent on the blazer
= 100% - 10%
= 90%
Fraction of Yen's amount left
= 90% x 60%
=
90100 x
60100=
2750Total amount that Yen had = 50 u
Amount that Yen had left = 27 u
27 u = 81
1 u = 81 ÷ 27 = 3
Amount that Yen had at first
= 50 u
= 50 x 3
= $150
(b)
Fraction of Yen's amount spent on the blazer
= 10% x 60%
=
10100 x
60100 =
350Amount that Yen spent on the blazer
= 3 u
= 3 x 3
= $9
Discounted price of the blazer in percent
= 100% - 40%
= 60%
60% of the price of the blazer = 9
1% of the price of the blazer = 9 ÷ 60 = 0.15
100% of the price of the blazer = 100 x 0.15 = 15
Original price of the blazer = $15
Answer(s): (a) $150; (b) $15