To solve this problem, we need to find the monthly salary of M first and then express it as a percentage of P's monthly salary. This requires using the given average salary information step by step.

Monthly Salary Data Breakdown

Let's list the information provided in the question clearly:

• The average monthly salary of M, N, and S is ₹ 4000.
• The average monthly salary of N, S, and P is ₹ 5000.
• The monthly salary of P is ₹ 6000.

Our goal is to find M's monthly salary and then calculate what percentage it is of P's monthly salary.

Calculating Total Monthly Salaries from Averages

The formula for average is: Average = (Sum of values) / (Number of values). This means we can find the sum of salaries by multiplying the average salary by the number of people.

Total Monthly Salary of M, N, and S

Given the average monthly salary of M, N, and S is ₹ 4000, and there are 3 individuals:

Total monthly salary of M, N, S = Average monthly salary \(\times\) Number of individuals

Total monthly salary of M, N, S = \(₹ 4000 \times 3\)

Total monthly salary of M, N, S = \(₹ 12000\)

We can write this as an equation:

\[ \text{M} + \text{N} + \text{S} = 12000 \quad \cdots (1) \]

Total Monthly Salary of N, S, and P

Given the average monthly salary of N, S, and P is ₹ 5000, and there are 3 individuals:

Total monthly salary of N, S, P = Average monthly salary \(\times\) Number of individuals

Total monthly salary of N, S, P = \(₹ 5000 \times 3\)

Total monthly salary of N, S, P = \(₹ 15000\)

We can write this as an equation:

\[ \text{N} + \text{S} + \text{P} = 15000 \quad \cdots (2) \]

Determining Individual Monthly Salaries

Now we will use the given monthly salary of P to find the other unknown salaries.

Combined Monthly Salary of N and S

We know that the monthly salary of P is ₹ 6000. We can substitute this value into equation (2):

From equation (2):

\[ \text{N} + \text{S} + \text{P} = 15000 \]

Substitute \(\text{P} = 6000\):

\[ \text{N} + \text{S} + 6000 = 15000 \]

To find the combined monthly salary of N and S, subtract 6000 from both sides:

\[ \text{N} + \text{S} = 15000 - 6000 \]

\[ \text{N} + \text{S} = 9000 \quad \cdots (3) \]

So, the combined monthly salary of N and S is ₹ 9000.

Monthly Salary of M

Now that we know the combined monthly salary of N and S, we can substitute this value into equation (1) to find M's monthly salary.

From equation (1):

\[ \text{M} + \text{N} + \text{S} = 12000 \]

Substitute \(\text{N} + \text{S} = 9000\) from equation (3):

\[ \text{M} + 9000 = 12000 \]

To find M's monthly salary, subtract 9000 from both sides:

\[ \text{M} = 12000 - 9000 \]

\[ \text{M} = 3000 \]

Thus, the monthly salary of M is ₹ 3000.

Monthly Salary Percentage Calculation

Finally, we need to express M's monthly salary as a percentage of P's monthly salary.

• Monthly salary of M = ₹ 3000
• Monthly salary of P = ₹ 6000 (given in the question)

The formula for calculating a percentage is:

\[ \text{Percentage} = \left( \frac{\text{Value of M}}{\text{Value of P}} \right) \times 100\% \]

Substitute the respective monthly salaries:

Percentage = \(\left( \frac{3000}{6000} \right) \times 100\%\)

Percentage = \(\left( \frac{1}{2} \right) \times 100\%\)

Percentage = \(0.5 \times 100\%\)

Percentage = \(50\%\)

Therefore, the monthly salary of M is 50% of the monthly salary of P.

The calculation shows that M's salary is exactly half of P's salary, which translates to 50%.