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40% of the employees in a factory are workers. All the remaining

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Bunuel
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40% of the employees in a factory are workers. All the remaining [#permalink] New post  09 May 2017, 08:54
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40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is $390.The annual income of each executive is $420. What is the average annual income of all the employees in the factory together?

A. 390
B. 405
C. 408
D. 415
E. 420

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Kritesh
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  Updated on: 21 May 2017, 03:37
Let us consider 100 employees to work in the factory.

40 - Workers
60 - Executives

Annual income of the worker = $390
Annual income of Executive = $420

Average annual income of all the employees in the factory ,

(40*390 + 60*420)/100

[40*(300+90) + 60*(400+20) ]/100

(12000+3600+24000+1200)/100

40800/100 = 408

Therefore the answer is C.

Originally posted by Kritesh on 09 May 2017, 09:08.
Last edited by Kritesh on 21 May 2017, 03:37, edited 1 time in total.
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JS1290
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  09 May 2017, 09:45
Since we don't know the total number of employees, we can use a smart number here. Let's say the total number of employees are 10. So, that means we will have 4 workers and 6 employees.

[(390*4)+420*6)/10]= 4080/10- 408. Therefore; the answer is C.
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singhabhijeet
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  09 May 2017, 10:02
Let say total number of employees = 100.

Worker = 40
Executive = 60

average annual income of all the employees = \(\frac{(salaryOfWorker * # Workers) + (SalaryOfExecutive * # Executives)}{TotalNumberOfEmployees}\)
Hence,

average annual income of all the employees = \(\frac{(40 * 390) + (60 * 420)}{100}\)
=> \(\frac{100 [(4 * 39) + (6*42)]}{100}\)

=> 156 + 252

=> 408

Ans: C
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pushpitkc
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  09 May 2017, 10:21
.4*390 + .6*420
= 156 + 252
= 408(Option C)

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sobby
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  09 May 2017, 10:33
Bunuel wrote:
40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is $390.The annual income of each executive is $420. What is the average annual income of all the employees in the factory together?

A. 390
B. 405
C. 408
D. 415
E. 420


No need for complex calculation:
let 100 total , 40 W , 60 E
40 * 390
60* 420 = 60 * (390 +30)
extra amount is 30 * 60 = 1800 .we have to divide in 100 student.So per student 18 ...Avg is 408.
So C
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guptarahul
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  15 May 2017, 10:02
390 420
x
60 : 40
3 : 2

x-390 = 3/2
420-x

2x-780=1260-3x
5x=2040
x=408
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amanvermagmat
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  25 May 2017, 23:16
40% workers, 60% executives. Ratio of workers : executives = 40 : 60 = 2:3
Weighted average income = (2*390 + 3*420)/(2+3) = 2040/5 = 408

Hence C answer
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JeffTargetTestPrep
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  31 May 2017, 19:06
Expert Reply
Bunuel wrote:
40% of the employees in a factory are workers. All the remaining employees are executives. The annual income of each worker is $390.The annual income of each executive is $420. What is the average annual income of all the employees in the factory together?

A. 390
B. 405
C. 408
D. 415
E. 420


We can assume that there are 10 employees in the factory, so there are 4 workers and 6 executives. Thus, the total annual income of these 10 employees is (4 x 390) + (6 x 420) = 1560 + 2520 = $4080, and their average annual income is 4080/10 = $408.

Answer: C
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Re: 40% of the employees in a factory are workers. All the remaining [#permalink] New post  24 Jul 2019, 00:17
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