Question:medium

A manufacturing unit gives a total average salary of Rs. 100 per day to its salesman and supervisors. The average salary for a salesman per day is Rs. 85 and a company employs 440 salesman, how many supervisors does the company employed?
Statement 1: The average salary of a supervisor is Rs. 160 per day
Statement 2: The ratio between the average salaries of salesman and supervisor is 17 : 32

Updated On: Jan 13, 2026
  • Statement (1) alone is sufficient to answer the question
  • Statement (2) alone is sufficient to answer the question
  • Both the statements together are needed to answer the question
  • Either statement (1) alone or statement (2) alone is sufficient to answer the question
  • Neither statement (1) nor statement (2) suffices to answer the question
Show Solution

The Correct Option is D

Solution and Explanation

The correct answer is option (D):
Either statement (1) alone or statement (2) alone is sufficient to answer the question

Here's how we can analyze this problem and determine the correct answer:

The problem provides us with information about the total average salary paid by a manufacturing unit to its salesmen and supervisors, the average salary of a salesman, and the number of salesmen. The goal is to determine the number of supervisors.

We can approach this using a weighted average concept. Let 's' be the number of salesmen and 'v' the number of supervisors. Let 'avg_s' be the average salary of a salesman, and 'avg_v' the average salary of a supervisor.

The problem states:
* Total average salary = Rs. 100 per day
* avg_s = Rs. 85 per day
* s = 440

We can write the equation for the total salary as: (s * avg_s + v * avg_v) / (s + v) = 100

Substituting the known values, we have: (440 * 85 + v * avg_v) / (440 + v) = 100

Now let's consider the statements individually:

Statement 1: The average salary of a supervisor is Rs. 160 per day.
This gives us avg_v = 160. We can plug this into our main equation and solve for 'v'. (440 * 85 + v * 160) / (440 + v) = 100. This is solvable and yields a unique answer for 'v', the number of supervisors.

Statement 2: The ratio between the average salaries of salesman and supervisor is 17:32.
This implies avg_s : avg_v = 17 : 32. Since avg_s = 85, we can use this ratio to find avg_v. 85/avg_v = 17/32, which allows us to find avg_v = 160. Then, as in the previous case, we can substitute into the original equation and solve for 'v'. (440 * 85 + v * 160) / (440 + v) = 100. This also yields a unique answer for 'v'.

Conclusion:

Either statement 1 or statement 2 provides enough information to determine the value of avg_v, which is then used in the original equation, which allows one to solve for 'v' (the number of supervisors). Therefore, the correct answer is:
Either statement (1) alone or statement (2) alone is sufficient to answer the question

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