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The average monthly income of X and Y is ₹ 5050. The average monthly income of Y and Z is ₹ 6250 and the average monthly income of X and Z is ₹ 5200. The monthly income of X is :
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- ₹ 4050
- ₹ 3500
- ₹ 4000
- ₹ 5000
- ₹ 4050
Correct Option: C
According to question ,
The average monthly income of X and Y= ₹ 5050
⇒ X + Y = ₹ (2 × 5050) = ₹ 10100
The average monthly income of Y and Z = ₹ 6250
⇒ Y + Z = ₹ (2 × 6250) = ₹ 12500
The average monthly income of X and Z = ₹ 5200
⇒ Z + X = ₹ (2 × 5200) = ₹ 10400
Adding all three, 2 (X + Y + Z) = ₹ (10100 + 12500 + 10400) = 33000
⇒ X + Y + Z = Rs. 16500
∴ X = (X + Y + Z) – (Y + Z) = ₹ (16500 – 12500)
X = ₹ 4000