The average monthly income of Rakesh and Suresh is Rs. 5050. The average monthly income of Suresh and Ramesh is Rs. 6250 and the average monthly income of Rakesh and Ramesh is Rs. 5200. What is the monthly income of Rakesh?
Answer & explanation
Correct answer: option 2
Sum of monthly income of Rakesh and Suresh = 5050 x 2 = 10,100 -------1st equation
Sum of monthly income of Suresh and Ramesh = 6250 x 2 = 12,500-------2nd equation
Sum of monthly income of Rakesh and Ramesh = 5200 x 2 = 10,400-------3rd equation
Adding all three equations we get:
2(Sum of monthly income of Rakesh, Suresh and Ramesh) = 10,100 + 12,500 + 10,400
2(Sum of monthly income of Rakesh, Suresh and Ramesh) = 33,000
Sum of monthly income of Rakesh, Suresh and Ramesh = \(\frac{ 33,000}{2 }\)
Sum of monthly income of Rakesh, Suresh and Ramesh = 16,500
Monthly income of Rakesh = Sum of monthly income of Rakesh, Suresh and Ramesh - Sum of monthly income of Suresh and Ramesh
Monthly income of Rakesh = 16,500 - 12,500
Monthly income of Rakesh = 4,000