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 total number of male managers in company C is 100 and the total female employee in C is 260, then find the total number of male employee (Non managers + managers) are what percent more than the total number of male managers in company C?
- A.
160%
- B.
280%
- C.
140%
- D.
340%
- E.
240%
Show answer & explanation
Correct answer: E
Concept
In any group, the percent by which a quantity X exceeds a quantity Y is ((X − Y) / Y) × 100, where the base Y is what we compare against. Also, when a part is a known percentage of a whole, Whole = Part ÷ (percentage ÷ 100). Employees split two ways: into managers vs non-managers, and into male vs female.
Application
Total managers in C = male managers + female managers = 100 + 80 = 180 (female managers come from the table row for C).
Managers are 30% of total employees in C (from the line graph), so total employees = 180 ÷ (30 ÷ 100) = 180 × 100 ÷ 30 = 600.
Total male employees = total employees − female employees = 600 − 260 = 340.
Required percent = ((340 − 100) ÷ 100) × 100 = (240 ÷ 100) × 100 = 240%.
Cross-check
Working backwards: 240% more than 100 male managers gives 100 × (1 + 2.4) = 340 male employees, and independently total employees 600 − female employees 260 = 340. Both routes agree, so 240% is consistent.