Question Details

Bar graph given below shows the total number of graduate and post graduate employees in five different companies. Table shows the difference between graduate and posts graduate employees.

CompaniesGraduate – Post Graduate employees
A4
B2
C36
D90
E96

Note – Total Employees = Graduate + Post Graduate Employees
Graduate employees are more than Post Graduate Employees

In C, total females who are graduated is 50, Number of males who are graduated is 20 more than females who are post graduated. Males who are post graduated in C are what percentage more/ less than that of post graduated employees in D?

Options

A

13. 30%

B

31.31%

C

22%

D

38.18%

Show Answer

Correct Answer :

Option D

38.18%

38.18%

Solution :

Correct Answer: 38.18%

To solve this problem, we will first extract the total number of employees for companies C and D from the provided bar graph:
- For Company C, the height of the bar corresponds to 226 employees.
- For Company D, the height of the bar corresponds to 200 employees.

We are given that:
Total Employees = Graduate (G) + Post Graduate (PG) Employees
Graduate Employees > Post Graduate Employees (G > PG)

Step 1: Calculate the number of post-graduate employees in Company D
From the table, the difference between Graduate and Post Graduate employees (G - PG) for Company D is 90.
We have the system of linear equations:
GD+PGD=200
GD-PGD=90
Subtracting the second equation from the first:
2·PGD=200-90=110
PGD=55
So, the total number of post-graduate employees in Company D is 55.

Step 2: Calculate the number of graduate and post-graduate employees in Company C
From the table, the difference (G - PG) for Company C is 36.
We set up the equations:
GC+PGC=226
GC-PGC=36
Adding these equations gives:
2·GC=262GC=131
Subtracting them gives:
2·PGC=190PGC=95

Step 3: Analyze the gender distribution of employees in Company C
We are given that:
- Total females who are graduated in C = 50
Therefore, the number of males who are graduated in C is:
Graduate Males=GC-Graduate Females=131-50=81

We are also told that the number of males who are graduated is 20 more than females who are post-graduated:
Graduate Males=Post Graduate Females+20
81=Post Graduate Females+20Post Graduate Females=61

Now we can find the number of males who are post-graduated in C:
Post Graduate Males in C=PGC-Post Graduate Females=95-61=34

Step 4: Find the required percentage
We need to determine what percentage more/less the post-graduated males in C (34) are compared to the post-graduated employees in D (55).
Since 34<55, they are less.
Percentage less = 55-3455×100%=2155×100%=38.18%

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