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If xy ≠ 0, and 75 percent of x equals 125 percent of y,

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by BTGmoderatorDC » Fri Jul 19, 2019 4:48 pm

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Answers

A

B

C

D

E

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Difficulty—

If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the following is true?


A. y is 25 percent of x
B. y is 40 percent of x
C. y is 60 percent of x
D. y is 140 percent of x
E. y is 166 2/3 percent of x

OA C

Source: Magoosh
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by Brent@GMATPrepNow » Fri Jul 19, 2019 4:52 pm
BTGmoderatorDC wrote:If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the following is true?


A. y is 25 percent of x
B. y is 40 percent of x
C. y is 60 percent of x
D. y is 140 percent of x
E. y is 166 2/3 percent of x

OA C

Source: Magoosh
GIVEN: 75 percent of x equals 125 percent of y
Rewrite as: 3/4 of x = 5/4 of y
Or we can say: (3/4)(x) = (5/4)( y)
Multiply both sides by 4 to get: 3x = 5y
Divide both sides by 5 to get: 3x/5 = y
Rewrite as: y = (3/5)(x)
Or y = 3/5 of x
Or y = 60/100 of x
Or y = 60% of x

Answer: C

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by swerve » Tue Jul 23, 2019 4:47 pm
\(X = 100\), then (75% of \(X\)) \(= 75\)

\(75 = 125\)% of \(Y\)
\(75 = 1.25Y = \frac{5}{4}Y\)
\(\frac{4}{5}\cdot 75 = Y\)
\(\frac{300}{5} = Y \)
\(60 = Y \)

Thus, \(Y = 60\) when \(X = 100 \), or equivalently, \(y=60\)% of \(X\)
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by Scott@TargetTestPrep » Mon Jul 29, 2019 3:19 pm
BTGmoderatorDC wrote:If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the following is true?


A. y is 25 percent of x
B. y is 40 percent of x
C. y is 60 percent of x
D. y is 140 percent of x
E. y is 166 2/3 percent of x

OA C

Source: Magoosh
We can create the equation:

0.75x = 1.25y

75x = 125y

(75/125)x = y

(3/5)x = y

We see that y is 3/5, or 60%, of x.

Answer: C

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