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Q
One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and...
One night 18 percent of the female officers on a police force were on duty. If 180 officers were on duty that night and half of these were female officers, how many female officers were on the police force ?
A
90
B
180
C
270
D
500
E
1000
A
90
B
180
C
270
D
500
E
1000
Solution
Total number of female officers on duty = (1/2) × 180 = 90Let, the total number of female officers in police...
Total number of female officers on duty = (1/2) × 180 = 90
Let, the total number of female officers in police force = N
Given 18% of the female officers on a police force were on duty.
Therefore, 18% of N = 90
(18/100) × N = 90
N = 90 × (100/18)
N = 500
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