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
The correct answer is Option (2) → Rs 4000
Each average of two people gives their sum (average × 2). Adding the three sums counts every person twice, which gives the total income of all three.
Rakesh + Suresh \(=2\times5050=10100\)
Suresh + Ramesh \(=2\times6250=12500\)
Rakesh + Ramesh \(=2\times5200=10400\)
Adding: \(2\,(\text{Rakesh}+\text{Suresh}+\text{Ramesh})=33000\), so the three together earn Rs 16500
Rakesh \(=16500-(\text{Suresh}+\text{Ramesh})=16500-12500=4000\)
The monthly income of Rakesh is Rs 4000.