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In an office, the average height of 48 employees is 120 feet. If 'n' employees were included whose average height was 108 feet and now the average height of total employees is 116 feet. Find the total number of employees in an office.
70
62
54
None of these
Here’s what’s going on:
- The average height of 48 employees is 120 feet, so total height is 48 × 120 = 5760 feet.
- Now, we add ‘n’ employees with an average height of 108 feet, so their total is 108n feet.
- The combined average for all employees becomes 116 feet.
- That means: (5760 + 108n) / (48 + n) = 116
- Solve for n:
5760 + 108n = 116(48 + n)
5760 + 108n = 5568 + 116n
5760 - 5568 = 116n - 108n
192 = 8n
n = 24
- Total number of employees now: 48 + 24 = 72
Now, about the options:
- Option 1: 70
- Option 2: 70 (repeats)
- Option 3: 62
- Option 4: 54
- Option 5: None of these
The correct answer is Option 5: None of these. The total employees is 72, which isn’t listed except as "None of these."
By: Parvesh Mehta ProfileResourcesReport error
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