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Math Expert V
Joined: 02 Sep 2009
Posts: 59712
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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Difficulty:   5% (low)

Question Stats: 86% (01:41) correct 14% (01:50) wrong based on 95 sessions

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If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

A. 35/24
B. 35/12
C. 12
D. 17.5
E. 52.5

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Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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2
Bunuel wrote:
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

A. 35/24
B. 35/12
C. 12
D. 17.5
E. 52.5

60x/100=87.5y/100
60x = 87.5y
12x/y = 87.5/5 =17.5

Hence Option D is correct
Hit Kudos if you liked it EMPOWERgmat Instructor V
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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Hi All,

Certain Quant questions can me made easier to deal with if you 'convert' the given information from one format to another. In this case, we can rewrite the two percentages as fractions...

60% = 3/5
87.5% = 7/8

The given information can then be used to create the following equation:

(3/5)(X) = (7/8)(Y)

We're asked for the value of 12X/Y...

We can manipulate the above equation to get a value for X/Y...

(3/5)(X) = (7/8)(Y)

X/Y = (7/8)/(3/5)

X/Y = (7/8)(5/3) = 35/24

The question asks for the value of 12X/Y, so we just have to multiply the above fraction by 12 and simplify...

12X/Y = (12)(35/24) = 35/2 = 17.5

GMAT assassins aren't born, they're made,
Rich
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Joined: 03 Jan 2017
Posts: 134
Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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6/10 of x=7/8 of y
y = 6*8/10*7
12*x/y=12*x*70/42=17,5
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Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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1
EMPOWERgmatRichC wrote:
Hi All,

Certain Quant questions can me made easier to deal with if you 'convert' the given information from one format to another. In this case, we can rewrite the two percentages as fractions...

60% = 3/5
87.5% = 7/8

The given information can then be used to create the following equation:

(3/5)(X) = (7/8)(Y)

We're asked for the value of 12X/Y...

We can manipulate the above equation to get a value for X/Y...

(3/5)(X) = (7/8)(Y)

X/Y = (7/8)/(3/5)

X/Y = (7/8)(5/3) = 35/24

The question asks for the value of 12X/Y, so we just have to multiply the above fraction by 12 and simplify...

12X/Y = (12)(35/24) = 35/2 = 17.5

GMAT assassins aren't born, they're made,
Rich

EMPOWERgmatRichC how did you convert 87.5 into a fraction?
EMPOWERgmat Instructor V
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GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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Hi Nunuboy1994,

On a few questions in the Quant section on Test Day, knowing the common fraction-to-decimal conversions (1/2, 1/3, 1/4.... 1/11) will save you some significant time. With that information, you should be able to perform faster calculations on similar fractions (or not have to do the calculations at all if you already know the result).

For example:
1/5 = 20% = .2

so 3/5 = 3(20%) = 60% = 3(.2) = .6

If you know that 1/8 = 12.5% = .125, then you should be able to recognize that...

1 - 12.5% =
1 - 1/8 =
7/8 = 87.5%

GMAT assassins aren't born, they're made,
Rich
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If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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We need to know that 60% is $$\frac{3}{5}$$ and 87.5% is $$\frac{7}{8}$$.

Hence from the question stem, we can deduce that

$$\frac{3x}{5}$$ = $$\frac{7y}{8}$$
x = $$\frac{35y}{24}$$

Now, in order to get the expression, $$\frac{12x}{y}$$ , we can substitute this value of x :
$$12*\frac{x}{y} = \frac{(12*35)}{(24*y)}*y = \frac{35}{2}$$ = 17.5(Option B)

P.S it is helpful to know, by heart the commonly used percent - fraction conversations
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Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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Bunuel wrote:
If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?

A. 35/24
B. 35/12
C. 12
D. 17.5
E. 52.5

Since 60% = 3/5 and 87.5% = 7/8, we can create the following equation:

(3/5)x = (7/8)y

3x/5 = 7y/8

24x = 35y

12x = 17.5y

12x/y = 17.5

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Intern  B
Joined: 12 Jan 2019
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If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?  [#permalink]

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Because answers are spread, using approximate values would take us less than a minute to solve:

60%X=87.5%Y

X/Y=87.5/60= 90/60=3/2

12x/y= 36/2=18 (answer must a little smaller than 18) thus: 17.5 is the answer. D. If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y?   [#permalink] 04 May 2019, 14:37
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