PS OG 202

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PS OG 202

by zachlebo » Tue May 31, 2011 10:28 am
If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

(A) 100m
(B) 1/100m
(C) 1/m
(D) 10/m
(E) 10,000/m

i understand how to get the x percent which equals x = m/100*y, but i do not know how to go further to get the answer. do i just solve for y?

e
Source: — Problem Solving |

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by cans » Tue May 31, 2011 10:32 am
x is m percent of y
x = y*m/100 => y/x = 100/m -----eqn1
lets say y is z% of x
thus we have to find z
y=x*z/100
or z = y*100/x
replacing y/x from 1,
z = (100/m)*100 = 10,000/m
IMO E

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by Frankenstein » Tue May 31, 2011 10:33 am
Hi,
x=(m/100)y => y=100x/m = (100/m)x = (10000/m)x/100
So y is (10000/m) % of x
Hence, answer E

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by SoCan » Tue May 31, 2011 10:42 am
First statement gives x = my/100
Rewrite as y/x=100/m. This gives the fraction or decimal value of y of x. However, we want to know the percent number, so multiply it by 100.
Last edited by SoCan on Tue May 31, 2011 10:56 am, edited 1 time in total.

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by GMATGuruNY » Tue May 31, 2011 10:51 am
zachlebo wrote:If m > 0 and x is m percent of y, then, in terms of m, y is what percent of x?

(A) 100m
(B) 1/100m
(C) 1/m
(D) 10/m
(E) 10,000/m

i understand how to get the x percent which equals x = m/100*y, but i do not know how to go further to get the answer. do i just solve for y?

e
Let y=100 and m=50.
x = m% of y = 50% of 100 = 50.
y=100 is twice the value of x=50.
Thus, y is 200% of x.
Thus, our target is 200.

Now we plug m=50 into the answers to see which yields our target of 200.

Only answer choice E works:
10,000/m = 10,000/50 = 200.

The correct answer is E.
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by zachlebo » Tue May 31, 2011 10:57 am
Thank you all for the feedback....both ways are great to use!!! Picking smart values def. helps in this situation.

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by zachlebo » Tue May 31, 2011 10:59 am
Thank you all for the feedback....both ways are great to use!!! Picking smart values def. helps in this situation.