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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] New post 26 May 2013, 08:49
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Question Stats:

78% (01:32) correct 22% (00:36) wrong based on 32 sessions
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] New post 26 May 2013, 08:57
Expert's post
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%.

Answer: B.
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Re: A number x is 8 times another number y. The percentage that [#permalink] New post 27 May 2013, 00:27
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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. :-D
Re: A number x is 8 times another number y. The percentage that   [#permalink] 27 May 2013, 00:27
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