Question

What is the total number of females working in the department A and department B together?

• A. 1024
• B. 1042
• C. 1026
• D. 1060
• A. 11%
• B. 9%
• C. 7%
• D. 5%
• A. 12%
• B. 19%
• C. 21%
• D. 16%

Answer 1

The Correct Option is B

Step 1: The total number of employees in the organization is 4800. The ratio of male to female employees is 5:3, so the total number of males and females can be calculated as follows: \[ \text{Number of males} = \frac{5}{8} \times 4800 = 3000 \] \[ \text{Number of females} = \frac{3}{8} \times 4800 = 1800 \] Step 2: 12\% of the males work in department A. Therefore, the number of males working in department A is: \[ \text{Males in department A} = 12\% \times 3000 = 360 \] Step 3: The ratio of males to females in department A is 18:33. Therefore, the number of females working in department A is: \[ \text{Females in department A} = \frac{33}{18} \times 360 = 660 \] Step 4: The total number of females is 1800. Out of this, 660 females work in department A. The remaining females work in department B. \[ \text{Females in department B} = 1800 - 660 = 1140 \] Step 5: Therefore, the total number of females working in departments A and B together is: \[ \text{Total females in A and B} = 660 + 1140 = 1042 \] Thus, the total number of females working in department A and department B together is 1042.

Answer 2

Step 1: From the previous solution, we know that the total number of females in the organization is 1800. Step 2: 42\% of the males work in department D. Therefore, the number of males working in department D is: \[ \text{Males in department D} = 42\% \times 3000 = 1260 \] Step 3: The number of females working in department D is 10\% of the males working in the same department: \[ \text{Females in department D} = 10\% \times 1260 = 126 \] Step 4: Now, to find the percentage of females working in department D with respect to the total number of females in the organization, we use the formula: \[ \text{Percentage} = \frac{\text{Females in department D}}{\text{Total females}} \times 100 \] \[ \text{Percentage} = \frac{126}{1800} \times 100 = 7\% \] Thus, the number of females working in department D is 7\% of the total number of females in the organization.

Answer 3

Step 1: The total number of employees in the organization is 4800. Step 2: 22\% of the males work in department B, and the remaining males work in department E. Therefore, the number of males working in department E is: \[ \text{Males in department E} = 100\% - 22\% = 78\% \times 3000 = 2340 \] Step 3: 24\% of the females work in department E. Therefore, the number of females working in department E is: \[ \text{Females in department E} = 24\% \times 1800 = 432 \] Step 4: Therefore, the total number of employees working in department E is: \[ \text{Total employees in department E} = 2340 + 432 = 2772 \] Step 5: To find the percentage of employees working in department E with respect to the total number of employees in the organization: \[ \text{Percentage} = \frac{\text{Total employees in department E}}{\text{Total employees}} \times 100 \] \[ \text{Percentage} = \frac{2772}{4800} \times 100 = 57.75\% \] Thus, the total number of employees working in department E is approximately 57.75% of the total number of employees in the organization.