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Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 7354
GMAT 1: 760 Q51 V42 GPA: 3.82
The percent of employees participated in A program is 80% of the total  [#permalink]

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Difficulty:   15% (low)

Question Stats: 84% (00:51) correct 16% (01:00) wrong based on 46 sessions

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The percent of employees participated in A program is 80% of the total employees. What is the total number of employees in the company?

1) 168 employees participated in this program.
2) 42 employees did not participate in this program.

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Manager  S
Joined: 22 May 2017
Posts: 120
Re: The percent of employees participated in A program is 80% of the total  [#permalink]

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Stmnt 1
0.8* total no = 168

Stmnt 2
80% Participated so (100-80)=20% not participated

Hence 0.2 * total no = 42

Both stmnt independently give you total no of employees

Hence ans should be D

Kudos please if explanation was helpful

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Posted from my mobile device
Director  V
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: The percent of employees participated in A program is 80% of the total  [#permalink]

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MathRevolution wrote:
The percent of employees participated in A program is 80% of the total employees. What is the total number of employees in the company?

1) 168 employees participated in this program.
2) 42 employees did not participate in this program.

Let total number of employees in $$A$$ program be $$= x$$

Given $$80$$% of total employees participated in $$A$$ program.

1) $$168$$ employees participated in this program.

$$80$$% of $$x = 168 => \frac{80}{100}* x = 168$$

$$x = \frac{168 * 100}{80} = 210$$

Therefore, Total number of employees in $$A$$ program $$= 210$$

Hence I is Sufficient.

2) $$42$$ employees did not participate in this program.

Given $$80$$% of total employees participated in $$A$$ program. Therefore $$20$$% of total employees did not participate in $$A$$ program.

Therefore; $$20$$% of $$x = 42 => \frac{20}{100} * x = 42$$

$$x = \frac{42* 100}{20} = 210$$

Therefore, Total number of employees in $$A$$ program $$= 210$$

Hence II is Sufficient.

Answer (D)...

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Please Press "+1 Kudos" to appreciate. Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42 GPA: 3.82
Re: The percent of employees participated in A program is 80% of the total  [#permalink]

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==> If you modify the original condition and the question and set the number of people who participated in the program as a and number of people who did not participate in the program as b, from a=80%(a+b), there are 2 variables and 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer.

For con 1), from 168=80%(a+b) and a+b=168/80%=210, it is unique and sufficient.
For con 2), from 42=20%(a+b) and a+b=42/20%=210, it is unique and sufficient.

Therefore, the answer is D.
Answer: D
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Senior Manager  G
Joined: 06 Jul 2016
Posts: 363
Location: Singapore
Concentration: Strategy, Finance
Re: The percent of employees participated in A program is 80% of the total  [#permalink]

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MathRevolution wrote:
The percent of employees participated in A program is 80% of the total employees. What is the total number of employees in the company?

1) 168 employees participated in this program.
2) 42 employees did not participate in this program.

Total Employees = T
Emp's in Pgm A = 0.8T
T = ?

1) 168 = 0.8T
=> T = 210
Sufficient.

2) 42 did NOT participate
0.8T + 42 = T
=> 0.2T = 42
=> T = 210
Sufficient.

Answer is D
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Put in the work, and that dream score is yours! Re: The percent of employees participated in A program is 80% of the total   [#permalink] 10 Aug 2017, 11:49
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# The percent of employees participated in A program is 80% of the total

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