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Directions (1 - 5): Study the table given below and answer the questions that follow:
Total Number of Employees in different Departments of an Organization and Percentage of Females and Males.
Department Total No. of Employees Percentage of Females Percentage of Males
IT 840 45 55
Accounts 220 35 65
Production 900 23 77
HR 360 65 35
Marketing 450 44 56
Customer Service 540 40 60
1
What is the total number of employees in all the departments together?
Discuss
Answer & Solution
Total number of employees in all the departments
= 840 + 220 + 900 + 360 + 450 + 540
= 3310
2
What is the respective ratio of the number of females in Production department to the number of females in the Marketing department?
Discuss
Answer & Solution
Number of females in Production : Number of females in Marketing
$$\eqalign{ & = \left(900\times\frac{23}{100}\right):\left(450\times\frac{44}{100}\right) \cr & = 207:198 \cr & = 23:22 \cr} $$
3
What is the total number of males in the IT and Customer Service departments together?
Discuss
Answer & Solution
Total number of males in IT and Customer Service
$$\eqalign{ & = \left(840\times\frac{55}{100}\right)+\left(540\times\frac{60}{100}\right) \cr & = 462 + 324 \cr & = 786 \cr} $$
4
What is the ratio of the number of females in the HR and Accounts department together to the number of males in the same department together?
Discuss
Answer & Solution
(Number of females in HR and Accounts) : (Number of males in HR and Accounts)
= $$ \left\{\left(\frac{65}{100}\times360\right)+\left(\frac{35}{100}\times220\right)\right\}$$       $$: \left\{\left(\frac{35}{100}\times360\right)+\left(\frac{65}{100}\times220\right)\right\}$$
= (234 + 77) : (126 + 143)
= 311 : 269
5
The total number of employees in the HR department forms approximately what per cent of the total number of employees in the Accounts department?
Discuss
Answer & Solution
$$\eqalign{ & \text{Required percentage} \cr & = \left(\frac{360}{220}\times100\right)\% \cr & = 163.6\% \cr & \approx164\% \cr} $$