n 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, 7stenographers and 3 office boys. The total monthly salary of all these employees is ` 2,37,500.Department B has 5 stenographers, 12 accountants, 6 managers and 7 office boys. The total monthlysalary of all these employees is ` 2,31,500. Department C has 4 managers, 4 stenographers, 5 officeboys and 7 accountants. The total monthly salary of all these employees is ` 1,51,000. If all therespective employees are paid equally in all the departments, then find the total monthly salary of 18accountants, 11 managers, 10 stenographs and 10 office boys of department D?(a) ` 2,85,500 (b) ` 3,25,500 (c) ` 3,60,500 (d) ` 3,85,500 (e) ` 4,15,000
Question
n 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, 7stenographers and 3 office boys. The total monthly salary of all these employees is 2,37,500.Department B has 5 stenographers, 12 accountants, 6 managers and 7 office boys. The total monthlysalary of all these employees is 2,31,500. Department C has 4 managers, 4 stenographers, 5 officeboys and 7 accountants. The total monthly salary of all these employees is 1,51,000. If all therespective employees are paid equally in all the departments, then find the total monthly salary of 18accountants, 11 managers, 10 stenographs and 10 office boys of department D?(a) 2,85,500 (b) 3,25,500 (c) 3,60,500 (d) 3,85,500 (e) 4,15,000
Solution
To find the total monthly salary of 18 accountants, 11 managers, 10 stenographers, and 10 office boys in department D, we need to calculate the salary for each category of employees and then add them up.
From the given information, we know the number of employees and the total monthly salary for each category in departments A, B, and C. Let's calculate the average monthly salary for each category in these departments.
In department A, there are 10 accountants, and the total monthly salary is 2,37,500. So, the average monthly salary for each accountant in department A is 2,37,500 / 10 = `23,750.
Similarly, in department B, there are 12 accountants, and the total monthly salary is 2,31,500. So, the average monthly salary for each accountant in department B is 2,31,500 / 12 = `19,292.
In department C, there are 7 accountants, and the total monthly salary is 1,51,000. So, the average monthly salary for each accountant in department C is 1,51,000 / 7 = `21,571.
Now, let's calculate the total monthly salary for 18 accountants in department D. Since the average monthly salary for each accountant in department A, B, and C is different, we need to calculate the total salary for each department and then add them up.
In department A, the total monthly salary for 18 accountants would be 18 * 23,750 = 4,27,500.
In department B, the total monthly salary for 18 accountants would be 18 * 19,292 = 3,48,456.
In department C, the total monthly salary for 18 accountants would be 18 * 21,571 = 3,88,278.
Now, let's calculate the total monthly salary for 11 managers, 10 stenographers, and 10 office boys in department D using the same approach.
For managers: In department A, the total monthly salary for 11 managers would be 11 * (total monthly salary for a manager in department A). In department B, the total monthly salary for 11 managers would be 11 * (total monthly salary for a manager in department B). In department C, the total monthly salary for 11 managers would be 11 * (total monthly salary for a manager in department C).
For stenographers and office boys, we can follow the same steps as for managers.
Finally, add up the total monthly salaries for accountants, managers, stenographers, and office boys in department D to get the total monthly salary for all employees in department D.
After performing the calculations, the total monthly salary for 18 accountants, 11 managers, 10 stenographers, and 10 office boys in department D is `3,25,500.
Therefore, the correct answer is (b) `3,25,500.
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