Question
Download Solution PDFComprehension
Directions: Read the data carefully and answer the following questions.
The table given below shows the total number of Male and Female employees in five different companies ('A', 'B', 'C', 'D' and 'E'). It also shows the ratio of the number of Male employees to female employees in each company.
| Companies | Total Number of Employees | Ratio of Male to Female Employees |
| A | 624 | 7:6 |
| B | 936 | 5:8 |
| C | 630 | 4:3 |
| D | 528 | 5:6 |
| E | 600 | 3:2 |
If Company A and Company C decide to merge, and Company D and Company E decide to merge, what is the approximate difference between the average number of male employees in the merged Company (A+C) and the average number of female employees in the merged Company (D+E)?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGeneral Solution:
Company A:
Total employees = 624
Ratio of Male to Female = 7 : 6
Total parts = 7 + 6 = 13
Males = 7 / 13 × 624 = 336
Females = 6 / 13 × 624 = 288
Company B:
Total employees = 936
Ratio of Male to Female = 5 : 8
Total parts = 5 + 8 = 13
Males = 5 / 13 × 936 = 360
Females = 8 / 13 × 936 = 576
Company C:
Total employees = 630
Ratio of Male to Female = 4 : 3
Total parts = 4 + 3 = 7
Males = 4 / 7 × 630 = 360
Females = 3 / 7 × 630 = 270
Company D:
Total employees = 528
Ratio of Male to Female = 5 : 6
Total parts = 5 + 6 = 11
Males = 5 / 11 × 528 = 240
Females = 6 / 11 × 528 = 288
Company E:
Total employees = 600
Ratio of Male to Female = 3 : 2
Total parts =3 + 2 = 5
Males = 3 / 5 × 600 = 360
Females = 2 / 5 × 600 = 240
Thus,
| Company | Total Employees | Males | Females |
|---|---|---|---|
| A | 624 | 336 | 288 |
| B | 936 | 360 | 576 |
| C | 630 | 360 | 270 |
| D | 528 | 240 | 288 |
| E | 600 | 360 | 240 |
Calculations:
Merged Company A+C:
Males in A = 336
Males in C = 360
Total males in A+C = 336 + 360 = 696
Females in A = 288
Females in C = 270
Total females in A+C = 288 + 270 = 558
Merged Company D+E:
Males in D = 240
Males in E = 360
Total males in D+E =240 + 360 = 600
Females in D = 288
Females in E = 240
Total females in D+E =288 + 240 = 528
Average Number of Male Employees in (A+C):
Average Males in A+C = Total Males in A+C / Number of Companies = 696 / 2 = 348
Average Number of Female Employees in D+E:
Average Females in D+E = Total Females in D+E / Number of Companies = 528 / 2 = 264
Difference = Average Males in A+C - Average Females in D+E = 348 - 264 = 84
Thus, the approximate difference between the average number of male employees in the merged Company A+C and the average number of female employees in the merged Company D+E is 84.
Last updated on Jul 3, 2025
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