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

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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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15 Feb 2017, 03:37
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Question Stats:

87% (01:38) correct 13% (01:46) wrong based on 77 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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15 Feb 2017, 03:42
1
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
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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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16 Feb 2017, 14:06
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

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Special Offer: Save $75 + GMAT Club Tests Free Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/ Manager Joined: 03 Jan 2017 Posts: 145 Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y? [#permalink] Show Tags 11 Mar 2017, 14:37 6/10 of x=7/8 of y y = 6*8/10*7 12*x/y=12*x*70/42=17,5 Director Joined: 12 Nov 2016 Posts: 725 Location: United States Schools: Yale '18 GMAT 1: 650 Q43 V37 GRE 1: Q157 V158 GPA: 2.66 Re: If xy≠0, and 60% of x equals 87.5% of y, what is the value of 12x/y? [#permalink] Show Tags 06 Jun 2017, 22:25 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 Final Answer: GMAT assassins aren't born, they're made, Rich EMPOWERgmatRichC how did you convert 87.5 into a fraction? EMPOWERgmat Instructor Status: GMAT Assassin/Co-Founder Affiliations: EMPOWERgmat Joined: 19 Dec 2014 Posts: 13958 Location: United States (CA) 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] Show Tags 07 Jun 2017, 20:02 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 _________________ 760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com *****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***** Rich Cohen Co-Founder & GMAT Assassin Special Offer: Save$75 + GMAT Club Tests Free
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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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08 Jun 2017, 00:35
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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10 Jun 2017, 07:34
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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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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20 Mar 2019, 13:33
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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] 20 Mar 2019, 13:33
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