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Positive integer y is 50 percent of 50 percent of positive integer x,
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11 May 2022, 01:57
11 May 2022, 01:57
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Question Stats:
75% (01:35) correct
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Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x?
(A) 50
(B) 100
(C) 200
(D) 1,000
(E) 2,000
(A) 50
(B) 100
(C) 200
(D) 1,000
(E) 2,000
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: Positive integer y is 50 percent of 50 percent of positive integer x,
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11 May 2022, 06:15
11 May 2022, 06:15
1
Carcass wrote:
Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x?
(A) 50
(B) 100
(C) 200
(D) 1,000
(E) 2,000
(A) 50
(B) 100
(C) 200
(D) 1,000
(E) 2,000
Positive integer y is 50 percent of 50 percent of positive integer x
We can write: y = (50/100)(50/100)(x)
Simplify: y = (1/2)(1/2)(x)
Simplify: y = x/4
y percent of x equals 100.
We can write: (y/100)(x) = 100
Simplify: xy/100 = 100
Multiply both sides of the equation by 100 to get: xy = 10,000
What is the value of x?
Take: xy = 10,000
Replace y with x/4 to get: x(x/4) = 10,000
Simplify: x²/4 = 10,000
Multiply both sides by 4 to get: x² = 40,000
Solve: x = 200 or x = -200
Since we're told x is positive, we can be certain that x = 200 \
Answer: C
gmatclubot
Re: Positive integer y is 50 percent of 50 percent of positive integer x, [#permalink]
11 May 2022, 06:15
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