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# A number x is 8 times another number y. The percentage that

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A number x is 8 times another number y. The percentage that [#permalink]

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26 May 2013, 09:49
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A number x is 8 times another number y. The percentage that y is less than x is

A. 12.5%
B. 87.5%
C. 80%
D. 11%
E. 1%

Wording is too confusing.....How to interpret this? someone shed some light.
[Reveal] Spoiler: OA

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Re: A number x is 8 times another number y. The percentage that [#permalink]

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26 May 2013, 09:57
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atalpanditgmat wrote:
A number x is 8 times another number y. The percentage that y is less than x is

A. 12.5%
B. 87.5%
C. 80%
D. 11%
E. 1%

Wording is too confusing.....How to interpret this? someone shed some light.

Say y=1 and x=8.

Then y=1 is less than x=8 by (8-1)/8*100=7/8*100=87.5%.

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Re: A number x is 8 times another number y. The percentage that [#permalink]

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27 May 2013, 01:27
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Let's go through each sentence to understand the problem.

First, we have that a number x is 8 times another number y. Put in an equation, we get : $$x = 8*y$$ (1)

Next, we are asked to determine the percentage that y is less than x. Basically that means to find by how much y is less than x.

So, starting from (1) we get : $$y = (\frac{1}{8})*x = 0,125*x$$

If x represents 100% then that means : $$x - y = x - (\frac{1}{8})*x = x - 0,125*x = x*(1-0,125) = x*0,875$$

Thus, y is 87,5% less than x. Meaning that the answer is B.

Hope that helped.
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A number x is 8 times another number y. The percentage that [#permalink]

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14 Oct 2014, 03:06

For $$y = \frac{1}{8}, x = 1$$

$$(1 - \frac{1}{8}) * 100 = \frac{7}{8} * 100 = 87.5%$$
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Re: A number x is 8 times another number y. The percentage that [#permalink]

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08 Feb 2015, 23:00
x=8
y=1

the percentage y of x is 1/8*100=100/8

the difference in percentage is 100-100/8=700/8=87.5

B

intuitively C is too simple, other unrealistic, so B fits
Re: A number x is 8 times another number y. The percentage that   [#permalink] 08 Feb 2015, 23:00
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