# The average monthly income of P and Q is Rs 6000…

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### The average monthly income of P and Q is Rs. 6000; that of Q and R is Rs. 5250; and that P and R is Rs. 5500. What is P’s monthly income?

1. A. Rs. 3500
2. B. Rs. 4500
3. C. Rs. 6250
4. D. Rs. 4800

Here is complete explanation of The average monthly income of P and Q is Rs 6000….

### Solution(By ExamCraze Team)

Average monthly income of P and Q = Rs. 6000
Average monthly income of Q and R = Rs. 5250
Average monthly income of P and R = Rs. 5500
Total income of P + Q
= 2 × 6000
= Rs. 12000.....(i)
Total income of Q + R
= 2 × 5250
= Rs. 10500.....(ii)
Total income of R + P
= 2 × 5500
= Rs. 11000.....(iii)
On adding equation (i) (ii) and (iii), we have
2 (P + Q + R) = 12000 + 10500 + 11000
⇒ P + Q + R = \$\$frac{33500}{2}\$\$
⇒ P + Q + R = Rs. 16750.....(iv)
By equation (iv) - (ii)
P's monthly income
= Rs. (16750 - 10500)
= Rs. 6250