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

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Bunuel
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If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   24 Aug 2018, 00:15
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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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C
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If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   24 Aug 2018, 00:18
\(\frac{75}{100}\)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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Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   24 Aug 2018, 00:22
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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If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   24 Aug 2018, 02:16
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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Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   24 Aug 2018, 08:19
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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If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   24 Aug 2018, 09:02
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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Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   22 Mar 2019, 13:31
Expert Reply
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:
Show Spoiler
C


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BrentGMATPrepNow
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Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink] New post   19 Jul 2019, 18:04
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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



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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Brent
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Re: If xy ≠ 0, and 75 percent of x equals 125 percent of y, which of the [#permalink]
19 Jul 2019, 18:04
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