Directions: Refer to the pie-chart and answer the given questions.
 
Percentage of employees in different departments of Branch XYZ in the years 2014 
Total number of employees = 450
1
In 2014, the number of female employees in department C was 5/13 of the total number of employees in the same department. If the number of female employees in department F was 4 less than that in department C, what is the number male employees in department F?
» Explain it
C
No. of female employees in department C

5  ×  26  × 450 = 45
13 100

∴     No. of female employees in F = 45 – 4 = 41

Total No. of employees in department F

22  × 450 = 99
100

∴     No. of male employees in department F = 99 – 41 = 58.

Hence, option C is correct.

2
In 2014, there were 25% postgraduate employees in department B. In 2015, 22 employees of the same department were shifted to Branch ‘PQR’. If in 2015, the percentage of postgraduate employees in department B became 28%, how many postgraduate employees were shifted to branch ‘PQR’?
» Explain it
C
No. of employees in deptt B in 2014

= 450 ×  16  = 72
100

∴  No. of PG employees in deptt B in 2014

= 450 ×  25  = 18
100

Total 22 employees were shifted to PQR.

∴    No. of employees in deptt B in 2015 = 72 – 22 = 50

∴   No. of PG employees in deptt B in 2015

= 50 ×  28  = 14
100

∴    No. of PG employees shifted to PQR = 18 – 14 = 4.

Hence, option C is correct.

3
What is the average number of employees in departments A, D and F together?
» Explain it
E
Reqd average =  (14 + 10 + 22)% of 450  
3

=   46% of 450  =  46 × 450  = 69
3 3 × 100

Hence, option E is correct.

4
In department E, the ratio of the number female employees to that of the male employees was 5 : 4. There were equal number of unmarried males and unmarried females in department E. If the ratio of the married males to the married fameles was 3 : 2, what is the number of unmarried females?
» Explain it
C
No. of female employees

5  of total employees in E
9

No. of unmarried female employees

2  of total female employees in E
5

⇒   5  ×  2  ×  12  × 450 = 12
9 5 100

Hence, option E is correct.

5
What is the central angle corresponding to the number of employees in department E? (in degrees)
» Explain it
A
Required central angle of department E

12  × 360 = 43.2°
100

Hence, option A is correct.


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