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 decides to reduce its female workforce by 1/6th and Company E increases its male workforce by 1/4th, what is the approximate percentage difference between the new total number of male employees in Company E and the new total number of female employees in Company A?
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:
Original number of females in Company A = 288
Company A reduces its female workforce by 1/6:
Reduction = 1/6 × 288 = 48
New number of females in Company A = 288 - 48 = 240
From the table:
Original number of males in Company E = 360
Company E increases its male workforce by 1/4:
Increase = 1/4 × 360 = 90
New number of males in Company E = 360 + 90 = 450
The percentage difference between the new number of males in Company E and the new number of females in Company A is calculated as:
Percentage Difference = [(New Males in E - New Females in A) / New Females in A] × 100
Percentage Difference = [(450 - 240)] / 240× 100
Percentage Difference = 210 / 240 × 100 = 87.5%
Thus, the approximate percentage difference between the new total number of male employees in Company E and the new total number of female employees in Company A is 87.5%.
Last updated on Jun 17, 2025
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