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Math Expert V
Joined: 02 Sep 2009
Posts: 55277
If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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Question Stats: 89% (01:22) correct 11% (01:42) wrong based on 46 sessions

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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

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Director  D
Joined: 18 Jul 2018
Posts: 911
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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$$\frac{75}{100}$$X = $$\frac{125}{100}$$Y

3X = 5Y.

Y = $$\frac{3}{5}$$X

Y = 0.6X.

Or Y is 60% of X.

C is the answer.
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VP  D
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Joined: 01 Oct 2017
Posts: 1008
WE: Supply Chain Management (Energy and Utilities)
Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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Bunuel 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

75 percent of x equals 125 percent of y
Or, 0.75*x=1.25*y
Or, $$y=\frac{0.75}{1.25}*x$$
Or, y=0.60x
Or, y=60% of x

Ans. (C)
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VP  P
Joined: 31 Oct 2013
Posts: 1356
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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Bunuel 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

75% of x = 125% of y

75x = 125y

3x = 5y

y = $$\frac{3}{5}$$x.

y = 60% of x.

Note:$$\frac{3}{5}$$ = 60%

The best answer is C.
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Joined: 11 Jun 2011
Posts: 4488
Location: India
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Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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Bunuel 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

75% = 3/4

125% = 5/4

Now, 3x/4 = 5y/4

Or, 3x = 5y = 15 (Say)

So, x = 5 and y = 3

Thus, y is 60% of x, Answer must be (C)
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Intern  B
Joined: 05 Sep 2016
Posts: 27
Location: Canada
If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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0.75x = 1.25 y
3/4 x = 5/4 y :converted into faction for ease of cancellation
3 x = 5 y :cancelled both the denominators
3/5 x = y :converted to y format
.60 x = y :final answer C

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EMPOWERgmat Instructor V
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the  [#permalink]

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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:

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Rich
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www.empowergmat.com/ Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the   [#permalink] 22 Mar 2019, 13:31
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