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If 25% of the company's employees contribute at least 4% of

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If 25% of the company's employees contribute at least 4% of [#permalink] New post 30 Jan 2011, 12:12
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund

(C) 2008 GMAT Club - m18#18

Can anybody show how to do this problem with double set matrix? i tried and somehow failed
with A . :(
thaaanks ...

Last edited by Bunuel on 09 Aug 2013, 01:48, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: m18#18 [#permalink] New post 30 Jan 2011, 13:09
answer not A??

if you assume 100 to be total number of employees
question: >=5% ??

given: >=4% U = 5% U > 5% equals 25

from 1) >=4% U <5% equals 20, implies 5 people have given >=5%
from 2) 95 people gave <5%, as info about how may people participated in the contribution is not goven we do not what the rest 5% people have done
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Re: m18#18 [#permalink] New post 31 Jan 2011, 10:38
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tinki wrote:
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

1. 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
2. 95% of the company's employees contribute less than 5% of their salary to the Charity Fund

(C) 2008 GMAT Club - m18#18

Can anybody show how to do this problem with double set matrix? i tried and somehow failed
with A . :(
thaaanks ...


If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

Say:
X% contribute less than 4%;
Y% contribute at least 4% but less than 5%;
Z% contribute at least 5%.
Note that these groups don't have intersections and X+Y+Z=100.

Given: Y+Z=25%. Question: Z=?

(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund --> Y=20% --> Y+Z=20+Z=25% --> Z=5%. Sufficient.

(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund --> X+Y=95% --> X+Y+Z=95+Z=100% --> Z=5%. Sufficient.

Answer: D.
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Re: m18#18 [#permalink] New post 31 Jan 2011, 12:16
Hi bunuel
for stmt 2 to be sufficient, we need to assume that everyone participated in the contribution. It is not mentioned anywhere right?

Bunuel wrote:
tinki wrote:
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?

1. 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund
2. 95% of the company's employees contribute less than 5% of their salary to the Charity Fund

(C) 2008 GMAT Club - m18#18

Can anybody show how to do this problem with double set matrix? i tried and somehow failed
with A . :(
thaaanks ...


-------4------5-----
___X____Y_____Z_

X% contribute less than 4;
Y% contribute at least 4 but less than 5;
Z% contribute at least 5.
Note that these groups don't have intersections and X+Y+Z=100.

Given: Y+Z=25%. Question: Z=?

(1) Y=20% --> Y+Z=20+Z=25% --> Z=5%. Sufficient.

(2) X+Y=95% --> X+Y+Z=95+Z=100% --> Z=5%. Sufficient.
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Re: m18#18 [#permalink] New post 31 Jan 2011, 12:23
Expert's post
pkonduri wrote:
Hi bunuel
from stmt 2 to be sufficient,you have we assume that everyone participated in the contribution. It is not mentioned anywhere right?


I didn't assume that.

X% of the employees who contribute less than 4 include those employees who do not contribute at all (contribute 0<4).
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COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: m18#18 [#permalink] New post 31 Jan 2011, 12:36
Yes you are right. My bad! Thanks for the prompt reply!

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If 25% of the company's employees contribute at least 4% [#permalink] New post 01 Aug 2013, 18:04
If 25% of the company's employees contribute at least 4% of their salary to the Charity Fund, what percent of the company's employees contribute at least 5% of their salary to the Charity Fund?
(1) 20% of the company's employees contribute at least 4% but less than 5% of their salary to the Charity Fund

(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.EACH statement ALONE is sufficient.Statements (1) and (2) TOGETHER are NOT sufficient.

The correct answer is marked D. However no where is mentioned that all the employees contribute to the fund. Can some expert comment on that ?from my understanding It should be explicitly mentioned otherwise you cant assume things.

Last edited by Zarrolou on 01 Aug 2013, 21:06, edited 1 time in total.
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Re: If 25% of the company's employees contribute at least 4% of [#permalink] New post 18 Oct 2013, 04:35
Just a visual approach of the aforementioned.

P.S. I got it wrong too because I didn't get the "at least 4%" => 0% - 4%.
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Re: If 25% of the company's employees contribute at least 4% of   [#permalink] 18 Oct 2013, 04:35
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