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

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

Cheers
Brent

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

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