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

Question

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

0akshay0 · Answer

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 8-)

EMPOWERgmatRichC · Answer

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:  D

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

SeregaP · Answer

6/10 of x=7/8 of y
y = 6*8/10*7
12*x/y=12*x*70/42=17,5

Nunuboy1994 · Answer

EMPOWERgmatRichC  how did you convert 87.5 into a fraction?

EMPOWERgmatRichC · Answer

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

pushpitkc · Answer

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

JeffTargetTestPrep · Answer

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
 
Answer: D

elghaziyass · Answer

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.

Kinshook · Answer

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

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

3x/5 = 7y/8
x/y = 7*5/8*3
12x/y = 12*7*5/8*3 = 35/2 = 17.5

IMO D

Basshead · Answer

\frac{6x}{10} = \frac{7y}{8}

48x = 70y 
 12x = 17.5y

Must remember =  \frac{1}{8} = 12.5%

Answer is D.

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

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GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards