Magoosh
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?
A. D + 40
B. D + H - 1
C. D + 2H
D. 5.95H
E. 1.21D
OA D
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Before January, the price of a dress was D and the price of
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AAPL wrote:Magoosh
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?
A. D + 40
B. D + H - 1
C. D + 2H
D. 5.95H
E. 1.21D
Let H=100 and D=500.
D increased by 40% = 500 + (40/100)(500) = 500+200 = 700.
H increased by 50% = 100 + (50/100)(100) = 100+50 = 150.
New sum = 700+150 = 850.
Amount paid = new sum discounted by 30% = 850 - (30/100)(850) = 850-255 = 595.
The question stem asks for the amount paid.
The correct answer must yield 595 when H=100 and D=500.
Only D works:
5.95H = 5.95(100) = 595.
The correct answer is D.
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Price before January
Dress = D
Pair of shoes = H
Price in January
Dress = 1.4D
Pair of shoes = 1.5H
Total price = 1.4D + 1.5H
Given that D = 5H
Hence, total price = (1.4*5H) + 1.5H
Total price = 8.5H
But this was purchased at 30% of discount, therefore the total amount paid = 8.5*0.7*H = 5.95H.
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Dress = D
Pair of shoes = H
Price in January
Dress = 1.4D
Pair of shoes = 1.5H
Total price = 1.4D + 1.5H
Given that D = 5H
Hence, total price = (1.4*5H) + 1.5H
Total price = 8.5H
But this was purchased at 30% of discount, therefore the total amount paid = 8.5*0.7*H = 5.95H.
Regards!
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AAPL wrote:Magoosh
Before January, the price of a dress was D and the price of a matching pair of shoes was H. In January, the price of the dress increased by 40% and the price of the shoes increased by 50%. In March, Roberta bought both items with a 30% discount. If D = 5H, which of the following represents the amount that Roberta paid?
A. D + 40
B. D + H - 1
C. D + 2H
D. 5.95H
E. 1.21D
OA D
The new price of the dress is 1.4D, and the new price of the shoes is 1.5H. When purchased at a 30% discount, the prices are 0.7 x 1.4D = 0.98D and 0.7 x 1.5H = 1.05H.
Since D = 5H, we have:
0.98(5H) + 1.05H
4.9H + 1.05H = 5.95H
Answer: D
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