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# The percent of employees participated in A program is 80% of the total

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Math Revolution GMAT Instructor
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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08 Aug 2017, 18:09
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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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"Only $149 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Manager Joined: 22 May 2017 Posts: 120 Re: The percent of employees participated in A program is 80% of the total [#permalink] ### Show Tags 08 Aug 2017, 21:31 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 Posted from my mobile device Posted from my mobile device Director 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] ### Show Tags 08 Aug 2017, 23:32 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)... _________________ Please Press "+1 Kudos" to appreciate. Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 7354 GMAT 1: 760 Q51 V42 GPA: 3.82 Re: The percent of employees participated in A program is 80% of the total [#permalink] ### Show Tags 10 Aug 2017, 01:12 ==> 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 _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$149 for 3 month Online Course"
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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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10 Aug 2017, 11:49
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.

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Re: The percent of employees participated in A program is 80% of the total   [#permalink] 10 Aug 2017, 11:49
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