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Director
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Pls see the problem attached [#permalink] New post 12 May 2007, 06:32
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Pls see the problem attached.
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y per cent in terms of ......JPG
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Director
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 [#permalink] New post 12 May 2007, 08:49
For me its E.

Y = (10,000/m ) . X

Explanation :

X = (m/100) . Y --------------- (According to Q stem, X is m % of Y)

therefore : Y = (100 / m) . X
= (100/m) . 100 .X (To convert the fraction into %)
= (10,000/m) . X
Manager
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 [#permalink] New post 12 May 2007, 09:15
According to the question stem, " x is m percent of y". This equates to x=(m/y), but we have to mulitply by 100 to get the answer into % form. So, x=100m/y

Solving for y we get y=100m/x

Now we multiply this by 100 to put it into % form and we get y=10,000m/x

This means that y is 10,000m percent of x.

Answer: E
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 [#permalink] New post 12 May 2007, 10:35
I also say it is E

We know:
m>0
X = (m/100)y

we need to know: what is y/x in terms of m
>>> y/x = 100/m
However as you are dealing with percentages you will have to multiply 100/m by 100 = 10000/m
Director
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 [#permalink] New post 12 May 2007, 12:11
Thank you guys! OA is E.
Director
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 [#permalink] New post 13 May 2007, 13:32
quicker way :

assume values !

say y=100 / x=20 => m=20

now for k% of 20 =100 ; k = 500

only E = 10000/m => 10000/20 =500 satisfies the condition !
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 [#permalink] New post 13 May 2007, 13:43
grad_mba wrote:
quicker way :

assume values !

say y=100 / x=20 => m=20

now for k% of 20 =100 ; k = 500

only E = 10000/m => 10000/20 =500 satisfies the condition !


Nice ! thanks grad_mba :-D
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Re: PS - y is what per cent of x (OG11) [#permalink] New post 11 Jan 2008, 00:39
I just came across this question in the book.

I just think that this is a real confusing question. It is not difficult, but the way they want you to set it up and to translate the question into an equation is contradictory to their other similar percentage problems (I don't have the exact examples off the top of my head).

To me "x is m percent of y" translates to x/y = m100 (not m/100). Meaning when x divide y, you get a decimal number (could be greater than or equal to or less than 1), you multiply that number by 100 to get the "percent" annotation.

I know that the OA is E, but the OG explanation is not consistent with their other "percentage" setups.
Senior Manager
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Re: PS - y is what per cent of x (OG11) [#permalink] New post 11 Jan 2008, 14:45
If x= (m/100) y ,

then y= (100x)/m

The question is: y=(?/100)x

Then we can equal (100x)/m =(?/100) x

So 100*100/m = ?

Answer is E
Re: PS - y is what per cent of x (OG11)   [#permalink] 11 Jan 2008, 14:45
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