This problem involves calculating the monthly salary of M as a percentage of the monthly salary of P, given information about the averages of different groups of salaries.

Calculating Salary Sums from Averages

• The average monthly salary of M, N, and S is ₹4000. The sum of their salaries is calculated as:

  Sum(M, N, S) = Average × Number of people

  \text{Sum(M, N, S)} = 4000 \times 3 = 12000

• The average monthly salary of N, S, and P is ₹5000. The sum of their salaries is:

  \text{Sum(N, S, P)} = 5000 \times 3 = 15000

• The monthly salary of P is given as ₹6000.

Finding the Salary of M

• We have the sum of salaries for N, S, and P:

  N + S + P = 15000

• Substitute the known salary of P (₹6000):

  N + S + 6000 = 15000

  N + S = 15000 - 6000

  \text{N + S} = 9000

• Now use the sum of salaries for M, N, and S:

  M + N + S = 12000

• Substitute the sum of N + S (₹9000) into this equation:

  M + 9000 = 12000

  M = 12000 - 9000

  \text{M} = 3000

Calculating M's Salary as a Percentage of P's Salary

• We need to find what percentage M's salary (₹3000) is of P's salary (₹6000).
• The formula for percentage is:

  Percentage = (\frac{\text{Part}}{\text{Whole}}) \times 100\%

• Applying this to the salaries:

  \text{Percentage} = (\frac{\text{Salary of M}}{\text{Salary of P}}) \times 100\%

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

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

  \text{Percentage} = 50\%