If \(xy \neq 0\), and 75 percent of \(x\) equals 125 percent

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Source: Magoosh

If \(xy \neq 0\), 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 \(166 \frac{2}{3}\) percent of \(x\)

The OA is C

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by Brent@GMATPrepNow » Fri Mar 22, 2019 11:11 am
BTGmoderatorLU wrote:Source: Magoosh

If \(xy \neq 0\), 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 \(166 \frac{2}{3}\) percent of \(x\)

The OA is C
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 [email protected] » Fri Mar 22, 2019 11:58 am
Hi All,

We're told that neither X nor Y can equal 0 and that 75% of X is equal to 125% of Y. We're asked which of the following is true. This question can be solved in a couple of different ways, including by TESTing VALUES.

IF....
X = 100, then (75% of X) = 75

75 = 125% of Y
75 = 1.25(Y) = (5/4)(Y)
(4/5)(75) = Y
300/5 = Y
60 = Y

Thus, Y = 60 when X = 100

Final Answer: C

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by Scott@TargetTestPrep » Sun Mar 24, 2019 5:16 pm
BTGmoderatorLU wrote:Source: Magoosh

If \(xy \neq 0\), 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 \(166 \frac{2}{3}\) percent of \(x\)

The OA is C
We can create the equation:

0.75x = 1.25y

75x = 125y

75x/125 = y

3x/5 = y

So y is 60% of x.

Answer: C

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