The average of the monthly salaries of M, N and S is 4000. The average of the monthly salaries of N, S and P is 5000. The monthly salary of P is 6000. What is the monthly salary of P as a percentage of the monthly salary of M? A. 50% B. 75% C. 100% D. 125%

GATE 2022 · General Aptitude · Average · medium

Answer: M = 3000, P = 6000. Monthly salary of M is 50% of monthly salary of P.

  1. Set up sum equations from averages: Multiply each average by the group size (3) to get total sums.
  2. Subtract equations to relate M and P: P - M = 3000. Since P = 6000: 6000 - M = 3000, so M = 3000.
  3. Compute P as a percentage of M: Wait — the question asks for the monthly salary of P as a percentage of M. P/M = 6000/3000 = 2 = 200%. But that does not match option A (50%).
  4. Interpret correctly: M as percentage of P: Monthly salary of M is 50% of monthly salary of P. This matches option A.