Question : In an office, 40% of the staff is female. 70% of the female and 50% of the male staff are married. The percentage of unmarried staff in the office is:
Option 1: 64
Option 2: 60
Option 3: 54
Option 4: 42
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Correct Answer: 42
Solution :
Given: In an office, 40% of the staff is female. 70% of the female and 50% of the male staff are married.
Let the total number of staff members be 100%.
40% are female and so, male staff = (100 – 40)% = 60%
70% of the female staff and 50% of the male staff are married.
So, (100 – 70) = 30% of the female staff and (100 – 50) = 50% of the male staff are unmarried.
So, 30% of 40 = 40 × $\frac{30}{100}$ = 12% females are unmarried,
and 50% of 60 = 60 × $\frac{50}{100}$ = 30% males are unmarried.
Therefore, the percentage of total unmarried staff = (12 + 30) = 42%
Hence, the correct answer is 42.
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