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D
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Difficulty:
35%
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Question Stats:
74% (02:24) correct
26%
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wrong
based on 92
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The average salary of the 182 employees at a company is $56,000. If two employees earning $53,000 and $104,000 leave the company, what will be the average salary of the remaining employees?
(A) $55,250
(B) $55,500
(C) $55,700
(D) $55,750
(E) $56,000
(A) $55,250
(B) $55,500
(C) $55,700
(D) $55,750
(E) $56,000
21 Jul 2026, 01:41
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Easy but time consuming way!
Average Salary of 182 Employees is $56000
This is nothing but,
Let Total Amount of Salary of 182 employees be “x”
So, X/182= $56000
X=56000*182
X=10,192,000
2 Employees with Salary $53,000 & $104,000 left.
Now X-(53000+104000)/180= New Avg
10,192,000-157,000/180=New Avg
10,035,000/180=New Avg
New Avg= 55,750
IMO D) 55,750
Average Salary of 182 Employees is $56000
This is nothing but,
Let Total Amount of Salary of 182 employees be “x”
So, X/182= $56000
X=56000*182
X=10,192,000
2 Employees with Salary $53,000 & $104,000 left.
Now X-(53000+104000)/180= New Avg
10,192,000-157,000/180=New Avg
10,035,000/180=New Avg
New Avg= 55,750
IMO D) 55,750
21 Jul 2026, 03:01
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The original sum (in thousands) is indeed 182(56)
The new sum is 180(56) +2(56) - 53 -104= 108(56) - 45
Thus the new average is (180(56) - 45)/180 = 56 - 45/180 = 56 -1/4 = 55.75
The new sum is 180(56) +2(56) - 53 -104= 108(56) - 45
Thus the new average is (180(56) - 45)/180 = 56 - 45/180 = 56 -1/4 = 55.75
21 Jul 2026, 03:18
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Let x be the total amount and y the average salary after two employees left the company.
(1) \(\frac{x}{182} = 56,000\): average salary of all the employees
(2) \(\frac{x-53,000-104,000}{180} = y\): average salary after two employees left the company
From equation (1) we can find: \(x = 56,000*182\).
The expression of x can be substituted in fraction (2): \(\frac{56,000*182-53,000-104,000}{180} = y \)
\(y = 55,750\)
Answer: D
(1) \(\frac{x}{182} = 56,000\): average salary of all the employees
(2) \(\frac{x-53,000-104,000}{180} = y\): average salary after two employees left the company
From equation (1) we can find: \(x = 56,000*182\).
The expression of x can be substituted in fraction (2): \(\frac{56,000*182-53,000-104,000}{180} = y \)
\(y = 55,750\)
Answer: D
