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.
The total number of males in IT and in Marketing together is what per cent more than the number of females in marketing?

Options

A. 250
B. 400
C. 350
D. 300

Answer

To solve the problem step-by-step, we will break down the information provided and calculate the required values systematically.

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

Let the common multiplier be \( x \).
- Therefore, the number of employees in HR = \( 3x \)
- The number of employees in Marketing = \( 4x \)
- The number of employees in Finance = \( 5x \)

### Step 2: Calculate the total number of employees in HR, Marketing, and Finance
- Total employees in HR, Marketing, and Finance = \( 3x + 4x + 5x = 12x \)

### Step 3: Information about females in HR and Marketing
- The total number of females in HR and Marketing together is 21.
- This is 35% of the total number of females in all four departments.

Let the total number of females in all departments be \( F \).
- Therefore, \( 0.35F = 21 \)
- From this, we can calculate \( F \):
\[ F = \frac{21}{0.35} = 60 \]

### Step 4: Determine the number of females in HR and Marketing
- Let the number of females in HR be \( A \).
- Then, the number of females in Marketing = \( A + 3 \) (since it is given that there are 3 more females in Marketing than in HR).
- Therefore, we have:
\[ A + (A + 3) = 21 \]
\[ 2A + 3 = 21 \implies 2A = 18 \implies A = 9 \]
- Thus, females in HR = 9 and females in Marketing = \( 9 + 3 = 12 \).

### Step 5: Calculate the number of females in IT and Finance
- Total females = 60
- Females in HR and Marketing = \( 9 + 12 = 21 \)
- Therefore, females in IT and Finance = \( 60 - 21 = 39 \).

### Step 6: Determine the number of employees in IT
- The total number of employees in IT = 44.
- It is given that 35% of males are in the IT department.
- Therefore, the number of males in IT = \( 0.35 \times 80 = 28 \).
- The number of females in IT = \( 44 - 28 = 16 \).

### Step 7: Determine the number of females in Finance
- We already have the total number of females in IT and Finance = 39.
- Females in IT = 16.
- Therefore, females in Finance = \( 39 - 16 = 23 \).

### Step 8: Calculate the number of males in each department
- Total males = 80.
- Males in HR, Marketing, and Finance can be calculated as follows:
- Let the males in HR = \( M_{HR} \)
- Let the males in Marketing = \( M_{Mkt} \)
- Let the males in Finance = \( M_{Fin} \)

Using the total employees in each department:
- \( M_{HR} + 9 = 3x \)
- \( M_{Mkt} + 12 = 4x \)
- \( M_{Fin} + 23 = 5x \)

We know \( 3x + 4x + 5x = 12x \) and \( M_{HR} + M_{Mkt} + M_{Fin} + 9 + 12 + 23 = 80 \).

### Step 9: Solve for \( x \)
- We have:
\[ M_{HR} + M_{Mkt} + M_{Fin} = 80 - 44 = 36 \]
- Therefore, we can express the males in terms of \( x \):
- \( M_{HR} = 3x - 9 \)
- \( M_{Mkt} = 4x - 12 \)
- \( M_{Fin} = 5x - 23 \)

### Step 10: Calculate the total males in IT and Marketing
- Males in IT = 28
- Males in Marketing = \( M_{Mkt} = 4x - 12 \)
- Total males in IT and Marketing = \( 28 + (4x - 12) \)

### Step 11: Calculate the percentage more than the number of females in Marketing
- Females in Marketing = 12
- Total males in IT and Marketing = \( 28 + (4x - 12) = 28 + 20 = 48 \) (since \( x = 8 \))
- The percentage more than the number of females in Marketing is:
\[ \text{Percentage} = \left( \frac{48 - 12}{12} \right) \times 100 = \left( \frac{36}{12} \right) \times 100 = 300\% \]

### Final Answer
The total number of males in IT and Marketing together is **300%** more than the number of females in Marketing.

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