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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?

- A. Rs. 3500
- B. Rs. 4500
- C. Rs. 6250
- D. Rs. 4800

**Answer: Option C **

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