kevincan
A 40-gram bottle of Ambrosia perfume sells for $225, including a 20% sales tax. If the weight of the glass bottle were reduced by 20% while the amount of perfume remained unchanged, the total weight of the filled bottle would decrease by 5%.
What is closest to the pre-tax cost per kilogram of the perfume alone?
A. $4,700
B. $5,000
C. $6,250
D. $6,750
E. $7,500
Perfume price = $225 = Product price + sales tax
225 = Product Price + (1/5)*Product Price.
(6/5) * Product Price = $225.
Product Price = 187.5
Sales tax = 37.5
Now, coming to the bottle 40gm.
40 gm = Weight of glass bottle + Weight of Perfume.
40gm = w + x
If glass bottle weight is reduced by 20% , the total weight decreases by 5% = 40*5% = 2 gm drop.
38 gm = 0.8w + x
2 gm = 0.2 w
W = 10 gm.
Then, x = 30 gm.
If , 30 gm Perfume excluding tax costs 187.5
Then 1 kg = 1000 gm costs ?
1 Kg =(187.5*1000) / 30 =
$ 6,250.Option C