The table below shows the number of male and female employees in five companies (A, B, C, D, and E) along with the percentage of employees promoted in each company.

| Company | Male Employees | Female Employees | % of Employees Promoted |
|---------|----------------|------------------|--------------------------|
| A | 400 | 350 | 40\% |
| B | 260 | 100 | 80\% |
| C | 340 | 410 | 60\% |
| D | 200 | 300 | 80\% |
| E | 240 | 360 | 50\% |

If 21\% of the promoted employees in company E are older than 50 years, what percentage less are the promoted employees in E aged 50 years or younger compared to the total male employees in companies B and E combined?

Question

The table below shows the number of male and female employees in five companies (A, B, C, D, and E) along with the percentage of employees promoted in each company.

| Company | Male Employees | Female Employees | % of Employees Promoted |
|---------|----------------|------------------|--------------------------|
| A       | 400            | 350              | 40\%                     |
| B       | 260            | 100              | 80\%                     |
| C       | 340            | 410              | 60\%                     |
| D       | 200            | 300              | 80\%                     |
| E       | 240            | 360              | 50\%                     |

If 21\% of the promoted employees in company E are older than 50 years, what percentage less are the promoted employees in E aged 50 years or younger compared to the total male employees in companies B and E combined?

Accepted Answer

**Solution:**

1. Calculate the total employees in company E:
   - Male + Female = 240 + 360 = 600

2. Calculate the total promoted employees in E:
   - Promoted = 50\% of 600 = $0.50 \times 600$ = 300

3. Find the number of promoted employees in E aged more than 50 years:
   - 21\% of 300 = $0.21 \times 300$ = 63

4. Therefore, promoted employees in E aged 50 years or younger:
   - 300 - 63 = 237

5. Calculate total male employees in companies B and E combined:
   - B male = 260, E male = 240
   - Total = 260 + 240 = 500

6. Find the percentage by which promoted employees in E aged $\leq$ 50 years are less than male employees in B and E:

$$
   $\frac{500 - 237}{500} \times 100 = \frac{263}{500} \times 100 = 52.6\%$ 
   $$

**Answer:** 52.6\%

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