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Currently, \(y\) percent of the members on the finance committee are women and next month, \(z\) percent of the men on

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Currently, \(y\) percent of the members on the finance committee are women and next month, \(z\) percent of the men on

by Gmat_mission » Sun Nov 07, 2021 1:24 pm

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Currently, \(y\) percent of the members on the finance committee are women and next month, \(z\) percent of the men on the finance committee will resign. If no other personnel changes occur, then after the resignations next month, the men who remain on the finance committee will represent what percent of the total finance committee members?

A. \(\dfrac{100(100-z)(100-y)}{100^2-z(100-y)}\)

B. \(\dfrac{(100-z)(100-y)}{100}\)

C. \((100-z)(100-y)\)

D. \(\dfrac{zy}{100}-z\)

E. \(\dfrac{z(100-y)}{100}\)

Answer: A

Source: Manhattan GMAT
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Re: Currently, \(y\) percent of the members on the finance committee are women and next month, \(z\) percent of the men

by regor60 » Mon Nov 08, 2021 9:59 am
Don't even think about doing the algebra.

Plug in some easy values. Make y and z= 50.

So if there are 100 women there are also 100 men. After 50% of the men resign, there are now 50 women+25 men= 75 total, and men = 25/75 or 33 %. So 33% is the target to search for in the answer choices.

Looking at a.

100*(100-50)*(100-50)= 2500*100= 250,000

100^2= 10000. 10000-50(100-50) = 7500

250000/7500= 2500/75= [spoiler]33 1/3, A[/spoiler]
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