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A store offers a discount on carpets which are priced on a per square
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19 Dec 2023, 04:28
19 Dec 2023, 04:28
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A store offers a discount on carpets which are priced on a ‘per square foot’ basis. Joe claimed that the sales price he paid for a piece of carpet measuring 10-feet by 12-feet was the same as the sales price, before discount, for a piece of the same type of carpet measuring 6-feet by 8-feet.
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
Percent discount offered by the store |
60% |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: A store offers a discount on carpets which are priced on a per square
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20 Dec 2023, 13:12
20 Dec 2023, 13:12
2
Let's denote the original price per square foot as P.
The area of the first carpet (10 feet by 12 feet) is 10 × 12 = 120 square feet.
The area of the second carpet (6 feet by 8 feet) is 6 × 8 = 48 square feet.
According to Joe, the sales price for the larger carpet (10 feet by 12 feet) after the discount equals the original price for the smaller carpet (6 feet by 8 feet).
The sales price for the larger carpet is 120 × (1 − discount) = P × 48.
Solving for the discount:
120 × (1 − discount) = P × 48.
1 − discount = 48/120(fraction)
discount = 1 − 48/120(fraction)
discount = 72/120(fraction) = 3/5(fraction)
discount = 0.6
So, Quantity A (Percent discount offered by the store) is equal to Quantity B (60%).
The answer is (C) The two quantities are equal.
The area of the first carpet (10 feet by 12 feet) is 10 × 12 = 120 square feet.
The area of the second carpet (6 feet by 8 feet) is 6 × 8 = 48 square feet.
According to Joe, the sales price for the larger carpet (10 feet by 12 feet) after the discount equals the original price for the smaller carpet (6 feet by 8 feet).
The sales price for the larger carpet is 120 × (1 − discount) = P × 48.
Solving for the discount:
120 × (1 − discount) = P × 48.
1 − discount = 48/120(fraction)
discount = 1 − 48/120(fraction)
discount = 72/120(fraction) = 3/5(fraction)
discount = 0.6
So, Quantity A (Percent discount offered by the store) is equal to Quantity B (60%).
The answer is (C) The two quantities are equal.
gmatclubot
Re: A store offers a discount on carpets which are priced on a per square [#permalink]
20 Dec 2023, 13:12
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