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
If \(xy \neq 0\), and 75 percent of \(x\) equals 125 percent
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GIVEN: 75 percent of x equals 125 percent of yBTGmoderatorLU 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
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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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
GMAT assassins aren't born, they're made,
Rich
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
GMAT assassins aren't born, they're made,
Rich
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We can create the equation: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
0.75x = 1.25y
75x = 125y
75x/125 = y
3x/5 = y
So y is 60% of x.
Answer: C
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