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# The average salary of all the workers in a workshop is Rs.8000. The av

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Math Expert
Joined: 02 Sep 2009
Posts: 58445
The average salary of all the workers in a workshop is Rs.8000. The av  [#permalink]

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21 Feb 2019, 00:33
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Difficulty:

35% (medium)

Question Stats:

81% (02:02) correct 19% (02:18) wrong based on 16 sessions

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The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is:

A. 21
B. 25
C. 36
D. 49
E. 50

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Senior Manager
Joined: 20 Mar 2018
Posts: 375
Location: Ghana
Concentration: Finance, Real Estate
Re: The average salary of all the workers in a workshop is Rs.8000. The av  [#permalink]

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21 Feb 2019, 01:34
Save time by using the weighted average formula (slightly derived ratio form of weighted average)

Let x= the number of the rest of workers in the workshop
w1/w2 = (A2 - A)/(A - A1)
w1=x ,w2= 7 technicians ,A2= avg. salary 12000,A1= avg. salary 6000,A= overall avg.=8000
x/7=(12000-8000)/(8000-6000)
x/7=(4000)/(2000) —> x/7=2
x=14
Total number of people in workshops =14+7 =21
Hope it helps

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Joined: 18 Aug 2017
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Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The average salary of all the workers in a workshop is Rs.8000. The av  [#permalink]

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21 Feb 2019, 09:50
Bunuel wrote:
The average salary of all the workers in a workshop is Rs.8000. The average salary of 7 technicians is Rs.12000 and the average salary of the rest is Rs.6000. The total number of workers in the workshop is:

A. 21
B. 25
C. 36
D. 49
E. 50

weighted avg

w1/w2= a2-a/a-a1
x/7=12000-8000/8000-6000
x= 14
14+7 ; 21
IMO A
Re: The average salary of all the workers in a workshop is Rs.8000. The av   [#permalink] 21 Feb 2019, 09:50
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# The average salary of all the workers in a workshop is Rs.8000. The av

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