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 CShow Answer
Solution(By Apex 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 $\Large=\frac{33500}{2}$
⇒ P + Q + R = Rs. 16750…..(iv)
By equation (iv) – (ii)
P’s monthly income
= Rs. (16750 – 10500)
= Rs. 6250
[oceanwp_library id=”3669″]
