Directions: The given caselet gives the information about the number of managers (Male + Female) and number of clerks (Male + Female) working in the three different companies X, Y and Z.
The total number of managers working in company X is 90 and the number of female clerks working in Company X is 10 less than the total number of managers working in company X. Number of male clerks to female clerks in company X are in the ratio 9: 8. Number of male managers working in company Z is 10 more than the female manager in the same company. Total number of managers in company Z is the same as the number of female clerks in company X. Number of male clerks in company Z is 10 more than the number of male clerks in company X. Total clerks in company Z is 165. Average number of male and female managers in company Z is the same as the number of female clerks in company Y which is 30 less than that of males in the same company. Number of male managers to female managers in company Y are in the ratio 4: 5. Difference between the number of male and female managers in company Y is 15. Number of male managers to female managers in company X is 5: 4.
Find the ratio between the number of male managers in Company X and Y to the number of male clerks in company X and Y.
- AOption (a)
13: 17
- BOption (b)
11: 16
- COption (c)
11: 20
- DOption (d)
19: 21
- EOption (e)
19: 25
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Correct answer
11: 16
Why this answer is correct
General Solution:
Total number of managers (Male + Female) in company X = 90
Number of male managers in company X= 90/9 × 5 = 50
Number of female managers in company X = 90 - 50 = 40
Number of female clerks working in Company X is 10 less than the total number of managers working in company X
Number of female clerks working in Company X = (90 - 10) = 80
Number of male clerks working in company X = 80/8 × 9 = 90
Number of male managers working in company Z = (x + 10)
Number of female managers working in company Z = x
Total number of managers in company Z is the same as the number of female clerks in company X
Number of managers in company Z = 80
x + x + 10 = 80
2x = 70
x = 35
Number of male managers in company Z = (35 + 10) = 45
Number of female managers in company Z = 35
Number of male clerks in company Z is 10 more than the number of male clerks in company X
Number of male clerks in company Z = 90 + 10 = 100
Number of female clerks in company Z = 165 - 100 = 65
Average number of male and female managers in company Z is the same as the number of female clerks in company Y which is 30 less than that of males in the same company.
Number of female clerks in company Y = (45 + 35)/2 = 80/2 = 40
Number of male clerks in company Y = (40 + 30) = 70
Number of male managers to female managers in company Y are in the ratio 4: 5
Number of male managers in company Y = 4 × 15 = 60
Number of female managers in company Y = 5 × 15 = 75
| Companies | Number of male managers | Number of female managers | Number of male clerks | Number of female clerks |
|---|---|---|---|---|
| X | 50 | 40 | 90 | 80 |
| Y | 60 | 75 | 70 | 40 |
| Z | 45 | 35 | 100 | 65 |
Solution:
Number of male managers in company X and Y = (50 + 60) = 110
Number of male clerks in company and Y = (90 + 70) = 160
Required percentage = 11: 16