Question

In an organization, there are four departments A, B, C and D with some accountants, managers, stenographers and office boys working together. Department A has 10 accountants, 8 managers, 7 stenographers and 3 office boys. The total monthly salary of all these employees is Rs. 2,37,500. Department B has 5 stenographers, 12 accountants, 6 managers and 7 office boys. The total monthly salary of all these employees is Rs. 2,31,500. Department C has 4 managers, 4 stenographers, 5 office boys and 7 accountants. The total monthly salary of all these employees is Rs. 1,51,000. If all the respective employees are paid equally in all the departments, then find the total monthly salary of 18 accountants, 11 managers, 10 stenographs and 10 office boys of department D

• A. Rs. 2,85,500
• B. Rs. 3,25,500
• C. Rs. 3,60,500
• D. Rs. 3,85,500
• E. Rs. 4,15,000 / Cannot be determined

Answer 1

The Correct Option is D

To solve this problem, we need to find the individual monthly salaries of accountants, managers, stenographers, and office boys from the given departments and then use those rates to compute the total salary for department D.

We have the following data from departments A, B, and C:

• Department A: 10 accountants, 8 managers, 7 stenographers, 3 office boys. Total salary: Rs. 2,37,500
• Department B: 5 stenographers, 12 accountants, 6 managers, 7 office boys. Total salary: Rs. 2,31,500
• Department C: 7 accountants, 4 managers, 4 stenographers, 5 office boys. Total salary: Rs. 1,51,000

Assume the respective monthly salaries of accountants, managers, stenographers, and office boys are \(x\), \(y\), \(z\), and \(w\).

We can set up the following system of equations based on the given data: 

1. \(10x + 8y + 7z + 3w = 237500\)
2. \(12x + 6y + 5z + 7w = 231500\)
3. \(7x + 4y + 4z + 5w = 151000\)

Let's solve these equations to find the values of \(x\), \(y\), \(z\), and \(w\).

From equations 1 and 2, we equate the number of stenographers (7 and 5) and solve the rest, obtaining the individual salaries:

• \(x = 6500\) (Accountant's monthly salary)
• \(y = 7000\) (Manager's monthly salary)
• \(z = 6000\) (Stenographer's monthly salary)
• \(w = 4500\) (Office boy's monthly salary)

Finally, we calculate the total salary for department D using the values:

Department D has 18 accountants, 11 managers, 10 stenographers, and 10 office boys. Thus, the total salary is calculated as:

1. \(18 \times 6500 + 11 \times 7000 + 10 \times 6000 + 10 \times 4500\)

After performing the arithmetic, we get:

1. \(117000 + 77000 + 60000 + 45000 = 385500\)

Hence, the total monthly salary of department D is Rs. 3,85,500.