Question

The average monthly income of X and Y is Rs 5050. The average monthly income of Y and Z is Rs 6250 and the average monthly income of X and Z is Rs 5200. The monthly income of X is

• A. Rs 4050
• B. Rs 3500
• C. Rs 4000
• D. Rs 5000

Answer 1

The correct option is C Rs 4000

Total income of (X + Y) = 2 x Rs 5050 = Rs 10100
Total income of (Y + Z) = 2 x Rs 6250 = Rs 12500
Total income of (Z + X) = 2 x Rs 5200 = Rs 10400
$\therefore$ 2( X + Y + Z) = Rs 10100 + Rs 12500 + Rs 10400 = Rs 33000
$\Rightarrow$ X + Y + Z = Rs 16500
$\therefore$ X's monthly income = (X + Y + Z) - (Y + Z) = Rs 16500 - Rs 12500 = Rs 4000