The table below provides data on the number of male and female employees in five companies (A, B, C, D, and E) along with the percentage of total 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\% |

Find the ratio of the total number of promoted employees in companies C and E combined to the average number of employees in companies A and D.

Question

The table below provides data on the number of male and female employees in five companies (A, B, C, D, and E) along with the percentage of total 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\%                    |

Find the ratio of the total number of promoted employees in companies C and E combined to the average number of employees in companies A and D.

Accepted Answer

**Solution:**

1. Calculate the total number of employees promoted in companies C and E:
   - Total employees in C = 340 (male) + 410 (female) = 750
   - Promoted in C = 60% of 750 = $$750 \times \frac{60}{100} = 450$$

- Total employees in E = 240 (male) + 360 (female) = 600
   - Promoted in E = 50% of 600 = $$600 \times \frac{50}{100} = 300$$

- Total promoted in C and E together = 450 + 300 = 750

2. Find the average number of employees in companies A and D:
   - Total employees in A = 400 + 350 = 750
   - Total employees in D = 200 + 300 = 500
   - Average employees = $$\frac{750 + 500}{2} = \frac{1250}{2} = 625$$

3. Calculate the required ratio:
   - Ratio = $$\frac{\text{Promoted employees in C and E}}{\text{Average employees in A and D}} = \frac{750}{625} = \frac{6}{5}$$

**Answer:** 6 : 5

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