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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
The original price of a certain TV set is discounted by x percent, and
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09 Mar 2022, 09:09
09 Mar 2022, 09:09
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83% (02:05) correct
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The original price of a certain TV set is discounted by x percent, and the reduced price is then discounted by 2x percent. If P is the original price of the TV Set, which of the following represents the price of the television set after the two successive discounts?
A. \(P(1 - 0.03x + 0.02x^2)\)
B. \(P(1 - 0.03x + 0.0002x^2)\)
C. \(P(1 - 0.3x + 0.002x^2)\)
D. \(P(1 - 2x^2)\)
E. \(P(1 - 3x + 2x^2)\)
A. \(P(1 - 0.03x + 0.02x^2)\)
B. \(P(1 - 0.03x + 0.0002x^2)\)
C. \(P(1 - 0.3x + 0.002x^2)\)
D. \(P(1 - 2x^2)\)
E. \(P(1 - 3x + 2x^2)\)
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: The original price of a certain TV set is discounted by x percent, and
[#permalink]
10 Mar 2022, 10:30
10 Mar 2022, 10:30
1
Expert Reply
Simply plug in:
Let us say that P = 100 $ and x = 10 %
Now if there are two successive discounts of 10 % and 20 % then the effective discount percentage will be -10 - 20 + (-10) (-20)/100 = -30 + 2 = 28 %
Hence the new price will be 100 - 28 = 72
Hence by plugging in P = 100 and x = 10 the answer should be 72
A: P(1 - 0.03x + 0.02x^2) = 100 (1 - 0.3 + 2) = 100(2.7)
B: P(1 - 0.03x + 0.0002x^2) = 100 (1 - 0.3 + 0.02) = 100 (1 - 0.28) = 72 (BINGO!) (Lets still eliminate all other answer options - what if another one gives me 72)
C: P(1 - 0.03x + 0.002x^2) = 100 (1 - 0.3 + 0.2)
D: P(1 - 2x^2) = 100 ( 1 - 200)
E: P(1 - 3x + 2x^2) = 100 ( 1 - 0.2 + 200)
Hence the answer is B
Let us say that P = 100 $ and x = 10 %
Now if there are two successive discounts of 10 % and 20 % then the effective discount percentage will be -10 - 20 + (-10) (-20)/100 = -30 + 2 = 28 %
Hence the new price will be 100 - 28 = 72
Hence by plugging in P = 100 and x = 10 the answer should be 72
A: P(1 - 0.03x + 0.02x^2) = 100 (1 - 0.3 + 2) = 100(2.7)
B: P(1 - 0.03x + 0.0002x^2) = 100 (1 - 0.3 + 0.02) = 100 (1 - 0.28) = 72 (BINGO!) (Lets still eliminate all other answer options - what if another one gives me 72)
C: P(1 - 0.03x + 0.002x^2) = 100 (1 - 0.3 + 0.2)
D: P(1 - 2x^2) = 100 ( 1 - 200)
E: P(1 - 3x + 2x^2) = 100 ( 1 - 0.2 + 200)
Hence the answer is B
gmatclubot
Re: The original price of a certain TV set is discounted by x percent, and [#permalink]
10 Mar 2022, 10:30
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