Direction: Line graph given below shows percentage of managers out of total…
2020
Direction: Line graph given below shows percentage of managers out of total employees in six (A, B, C, D, E & F) different companies and table shows number of female managers out of total managers in these six companies. Read the data carefully and answer the questions.
If the difference between total number of managers in company A and total number of employee (Non managers) in same company is 288, then find total number of male managers in company A?
- A.
64
- B.
32
- C.
48
- D.
72
- E.
56
Show answer & explanation
Correct answer: A
Concept
In a company the employees split into managers and non-managers. If managers are p% of the total employees T, then managers = (p/100)·T and non-managers = T − managers = ((100−p)/100)·T. Male managers in a company = total managers − female managers.
Application
For company A the line graph gives managers = 20% of total employees, so managers = 0.20·T and non-managers = 0.80·T, where T is the total number of employees in A.
"Difference between total managers and total non-managers is 288" means non-managers − managers = 0.80·T − 0.20·T = 0.60·T = 288.
Solve for T: T = 288 ÷ 0.60 = 480 employees in company A.
Total managers in A = 20% of 480 = 0.20 × 480 = 96.
From the table, female managers in A = 32, so male managers = total managers − female managers = 96 − 32 = 64.
Cross-check
With T = 480: managers = 96 and non-managers = 384; their difference 384 − 96 = 288, matching the given condition. Male managers 64 plus female managers 32 give back the 96 total managers. So the total number of male managers in company A is 64.