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m18#18 [#permalink] New post 30 Jan 2011, 13:12
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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

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* 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

Can anybody show how to do this problem with double set matrix? i tried and somehow failed
with A . :(
thaaanks ...
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Re: m18#18 [#permalink] New post 30 Jan 2011, 14:09
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, 11:21
What is the answer for this q? Thanks!

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Re: m18#18 [#permalink] New post 31 Jan 2011, 11:24
OA is D.

i just wondered how could the problem be solved (if at all possible ) with the matrix .
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Re: m18#18 [#permalink] New post 31 Jan 2011, 11:38
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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 ...


-------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.

Answer: D.
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Re: m18#18 [#permalink] New post 31 Jan 2011, 13:16
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, 13:23
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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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders

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. NEW!!! ,11 Mixed Questions NEW!!!, 12 Fresh Meat NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!, 11 New DS set. NEW!!!


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Re: m18#18 [#permalink] New post 31 Jan 2011, 13:36
Yes you are right. My bad! Thanks for the prompt reply!

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Re: m18#18   [#permalink] 31 Jan 2011, 13:36
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