What is the difference between the total number of graduate male employees and the total number of graduate female employees taking all the six cities together?
- AOption (a)
701
- BOption (b)
702
- COption (c)
703
- DOption (d)
704
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Correct answer
704
Why this answer is correct
Calculation:
Calculation for city A:
Total employees = 80000 × (24/100) = 19200
Ratio of male and female employees of all cities = 9:7
Total number of Female employees in all cities = 80000 × (7/16) = 35000
Females employees of city A = 35000 × (15/100) = 5250
Male employees = 19200 - 5250 = 13950
Number of male graduates = 13950 × (26/100) = 3627
Number of female graduates = 5250 × (42/100) = 2205
Similarly, we calculate for B, C, D, and E:
| City | Total Employees | Female Employees | Male Employees | Graduate Males | Graduate Females |
|---|---|---|---|---|---|
| A | 19200 | 5250 | 13950 | 3627 | 2205 |
| B | 12000 | 6300 | 5700 | 1881 | 2331 |
| C | 16000 | 5600 | 10400 | 4264 | 2128 |
| D | 4800 | 3500 | 1300 | 468 | 1610 |
| E | 7200 | 4900 | 2300 | 1081 | 2499 |
| F | 20800 | 9450 | 11350 | 5448 | 5292 |
Graduate male employees = 3627 + 1881 + 4264 + 468 + 1081 + 5448 = 16769
Graduate female employees = 2205 + 2331+ 2128 + 1610 + 2499 + 5292 = 16065
⇒ Difference = 16769 - 16065
⇒ 704
∴ The required difference is 704.