What will be the Monthly Income of A?If

The average monthly income of A and B is Rs.1500. The average monthly income of B and C is Rs.2500 and the average monthly income of A and C is Rs.3000. What is the monthly income of A?

  1. Rs.2000
  2. Rs.2500
  3. Rs.2250
  4. Rs.1800
Monis Rasool Professor Asked on 30th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) Rs.2000
    Explanation:-
    The average monthly income of A and B = Rs.1500
    The sum of monthly income of A and B = 2 x 1500 = Rs.3000 or A + B = 3000              …………….(1)
    The average monthly income of B and C = Rs.2500
    The sum of monthly income B and C = 2 x 2500 = Rs.5000 or B + C = 5000                 . …………….. (2)
    The average monthly income of A and C = Rs.3000
    The sum of monthly income A and C = 2 x 3000 = Rs.6000    or A + C = 6000      …………….          (3)
    Solve equation (1) & (2)
    A – C = – 2000           ………………    (4)
    Again,         Solve equation (3)  & (4)
    2A = 4000
    A = 4000/2 = 2000
    Thus, the monthly income of A is Rs.2000.

    Anurag Mishra Professor Answered on 1st July 2015.
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