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A certain company has 60 employees. The average (arithmetic mean) sala 24 Jun 2022, 16:30
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25% (medium)

Question Stats:

81% (02:10) correct 19% (02:41) wrong based on 97 sessions

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A certain company has 60 employees. The average (arithmetic mean) salary of 10 of the employees is $35,000, the average salary of 35 other employees is $30,000, and the average salary of the remaining 15 employees is $60,000. What is the average salary of the 60 employees at the company?

(A) $32,500
(B) $38,333
(C) $39,500
(D) $40,000
(E) $42,222
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B
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A certain company has 60 employees. The average (arithmetic mean) sala 24 Jun 2022, 19:00
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It’s an easy question that consumes a certain time in the calculation.
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A certain company has 60 employees. The average (arithmetic mean) sala 24 Jun 2022, 21:23
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Bunuel
A certain company has 60 employees. The average (arithmetic mean) salary of 10 of the employees is $35,000, the average salary of 35 other employees is $30,000, and the average salary of the remaining 15 employees is $60,000. What is the average salary of the 60 employees at the company?

(A) $32,500
(B) $38,333
(C) $39,500
(D) $40,000
(E) $42,222
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Total salaries paid is 10*35000 + 35*30000 + 15*60000.
Lets just get of the 000s.
10*35 + 35*30 +15*60
350 + 1050 + 900 = 2300
2300/60 = 230/6 = 115/3 = somethingendingina3thatisalittlelessthan40000

Answer choice B.
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A certain company has 60 employees. The average (arithmetic mean) sala 30 Oct 2023, 07:47
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This question can be solved without the arduous calculation. Even though the answer options are close to each other, yet by a lil reasoning we can easily zero down on the answer.

The breakdown of 60 employees and their AVG salaries is as follows -

10 workers / $35 k , 35 workers / $30 k , 15 workers / $60 k

Only 15 workers have a salary that is double that of the remaining 45 workers.

Hence our total AVERAGE salary must be weighted towards the majority number value.

The AVERAGE salary of the 45 workers is 30k + 35k/2 = $ 32.5 K.

REMEMBER THIS IS THE AVERAGE SALARY OF THE 45 WORKERS. The weight of the other 15 workers with a 60k salary will pull the average above $ 32.5 K.

The only answer greater than $32.5 K is option B.

Options C and D are very close. They differ by only $500. Hence if we eliminate the answers above 40K, we must also include option C in the elimination.
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Bunuel
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