In an office of 900 employees, on a particular day, except for 10% of the female employees, all employees were present. On the
next day, except for 8% of the male employees, all employees were present. The number of employees present on each of
these two days was the same. Find the total number of male employees on the payrolls of this office.
This questions was previously asked in
SSC MTS 12th July 2022 Shift-1
Explanation:
- Let's denote the number of female employees as F and the number of male employees as M.
- We know the total number of employees, F + M = 900.
- On the first day, 10% of females were absent, so 90% were present. Therefore, 0.9F females were present.
- On the second day, 8% of males were absent, so 92% were present. Therefore, 0.92M males were present.
- The number of employees present on both days was the same:
- Day 1: 0.9F + M
- Day 2: F + 0.92M
- We need to solve the equation 0.9F + M = F + 0.92M, which simplifies to:
- 0.1F = 0.08M, or
- F = 0.8M
- Substituting F = 0.8M into F + M = 900 leads to:
- 0.8M + M = 900
- 1.8M = 900
- M = 500
- So, the total number of male employees is 500.
Option 4: 500 is correct.
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By: santosh