Study the following information carefully and answer the given questions.
Data regarding distribution of a certain number of employees (male `+` female) in four departments - HR, Marketing, Finance and IT—in 2015. The number of males (in all departments) is 80.
The ratio of the number of employees (male `+` female) in HR, Marketing and Finance is `3 : 4: 5`. There are total 21 females in HR and Marketing together, which is `35%` of the number of females (in all four departments). The number of females in Marketing is 3 more than that in HR.
There are 44 employees (male `+` female) in IT department ,`35%` of male (in all four departments) are in this department.
If the total monthly salary of employees (male `+` female) in Marketing is ₹1216000 then what is the average monthly salary of the employees (male `+` female) in Marketing? (in₹)

Options

A. 34000
B. 32000
C. 38000
D. 35000

Answer

To solve the problem step by step, we will break down the information given and perform calculations accordingly.

### Step 1: Understand the Distribution of Employees
We know that the total number of males across all departments is 80. The ratio of employees (male + female) in HR, Marketing, and Finance is given as 3:4:5.

Let:
- Number of employees in HR = 3X
- Number of employees in Marketing = 4X
- Number of employees in Finance = 5X

### Step 2: Calculate Total Employees in HR, Marketing, and Finance
The total number of employees in HR, Marketing, and Finance can be expressed as:
\[ Total = 3X + 4X + 5X = 12X \]

### Step 3: Information About Females
We know that there are 21 females in HR and Marketing together, which is 35% of the total number of females across all departments. Let the total number of females be \( F \).

From the information given:
\[ 21 = 0.35F \]
To find \( F \):
\[ F = \frac{21}{0.35} = 60 \]

### Step 4: Distributing Females in HR and Marketing
Let the number of females in HR be \( H \) and in Marketing be \( M \). We know:
\[ H + M = 21 \]
Also, it is given that:
\[ M = H + 3 \]

Substituting \( M \) in the first equation:
\[ H + (H + 3) = 21 \]
\[ 2H + 3 = 21 \]
\[ 2H = 18 \implies H = 9 \]
Thus, \( M = 9 + 3 = 12 \).

### Step 5: Calculate the Number of Females in Finance
Now, we know the total number of females is 60. The number of females in Finance \( F_f \) can be calculated as:
\[ F_f = 60 - (H + M) = 60 - (9 + 12) = 39 \]

### Step 6: Calculate Employees in IT
The IT department has 44 employees. We know that 35% of the total males are in IT. Therefore:
\[ 0.35 \times 80 = 28 \]
Thus, the number of males in IT is 28, and the number of females in IT is:
\[ 44 - 28 = 16 \]

### Step 7: Calculate Total Employees
Now we can calculate the total number of employees:
- HR: \( 3X \)
- Marketing: \( 4X \)
- Finance: \( 5X \)
- IT: 44

Setting up the equation:
\[ 3X + 4X + 5X + 44 = 80 + 60 \]
\[ 12X + 44 = 140 \]
\[ 12X = 140 - 44 = 96 \implies X = 8 \]

### Step 8: Calculate Employees in Each Department
Now we can find the number of employees in each department:
- HR: \( 3X = 3 \times 8 = 24 \)
- Marketing: \( 4X = 4 \times 8 = 32 \)
- Finance: \( 5X = 5 \times 8 = 40 \)

### Step 9: Average Salary Calculation in Marketing
The total monthly salary of employees in Marketing is given as ₹1,216,000. To find the average monthly salary:
\[ \text{Average Salary} = \frac{\text{Total Salary}}{\text{Number of Employees}} \]
\[ \text{Average Salary} = \frac{1216000}{32} \]
Calculating:
\[ \text{Average Salary} = 38000 \]

### Final Answer
Thus, the average monthly salary of the employees (male + female) in Marketing is ₹38,000.

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