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

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If 25% of the company's employees contribute at least 4% of their  [#permalink]

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New post 16 Jan 2015, 07:40
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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.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient. Bunuel

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Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

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New post 16 Jan 2015, 07:44
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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?

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. Given: \(Y=20\%\). Hence, \(Y+Z=20+Z=25\%\), which gives \(Z=5\%\). Sufficient.

(2) 95% of the company's employees contribute less than 5% of their salary to the Charity Fund. Given: \(X+Y=95\%\). Hence, \(X+Y+Z=95+Z=100\%\), which gives \(Z=5\%\). Sufficient.


Answer: D.

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Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

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New post 16 Jan 2015, 13:26
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Hi sunaimshadmani,

Certain DS questions are more about organization than math-skills. While this question might look complex, it's worth noting that all the references to 4% or 5% are LABELS - they're not part of any calculation that you have to do.

We're told that 25% of the employees at a company give at least 4% of their salaries to a charity. We're asked what PERCENTAGE give at least 5%.

From the prompt, there are a couple of things that you might notice:
1) Since 25% gives AT LEAST 4%....75% give LESS than 4% (and possibly 0%).
2) Since 25% gives AT LEAST 4%.....NO MORE THAN 25% give AT LEAST 5%.

To help organize your information, you might consider TESTing VALUES, so that you can put all of this data in terms of real people. To make things easy, let's say there are 100 total employees. This means that 25 employees gave at least 4% to charity.

Fact 1: 20% of employees contribute 4%-5% to charity.

IF....
Total Employees = 100
25 gave at least 4%
20 gave 4%-5%
25 - 20 = 5 gave MORE than 5%
5/100 = 5%

Changing the total number of employees will have an equivalent effect on the other totals.

IF...
Total Employees = 200
50 gave at least 4%
40 gave 4%-5%
50 - 40 = 10 gave MORE than 5%
10/200 = 5/100 = 5%

The answer is ALWAYS 5%
Fact 1 is SUFFICIENT

Fact 2: 95% of employees contribute LESS THAN 5%

This is really great information, since it tells us about ALL of the employees that we're NOT interested in. 95% gave LESS than 5%.....so who's left? The people who gave 5% OR MORE.

100% - 95% = 5%
Fact 2 is SUFFICIENT

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Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

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New post 20 Apr 2015, 10:16
sunaimshadmani 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.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient.

Source: Gmat club tests


Can anybody please explain the point made by sunaimshadmani? Why can we assume that ALL employees must contribute, as the question DOESNOT specify that.

Thanks
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Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

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New post 20 Apr 2015, 10:24
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marianonunes wrote:
sunaimshadmani 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.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient.

Source: Gmat club tests


Can anybody please explain the point made by sunaimshadmani? Why can we assume that ALL employees must contribute, as the question DOESNOT specify that.

Thanks


Those who don't contribute fall into x%, which contributed less than 4% (0% < 4%).
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Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

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New post 20 Apr 2015, 10:37
sunaimshadmani 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.

Can somebody explain how is statement 2 sufficient?? Arent we assuming that all employees must contribute, as the question doesnt specify any such condition., when we consider statement 2 as sufficient. Bunuel

Source: Gmat club tests


Let no. of employees = 100

A) 20 employees contribute between 4%-5%, in the question stem, 25 contribute at least 4% => rest 5 must contribute at least 5% -- Sufficient.

B) 95 employees contribute less than 5%, rest 5 must be contributing at least 5% -- Sufficient

Hence, answer is D
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Re: If 25% of the company's employees contribute at least 4% of their  [#permalink]

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Re: If 25% of the company's employees contribute at least 4% of their   [#permalink] 18 Mar 2019, 04:20
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