Question 31

The average monthly income of P and Q is Rs. 7,050/. The average monthly income of Q and R is Rs.7,700/ and that of P and R is Rs.8,250/. What is the monthly income of P ?

Solution

Sum of incomes of P & Q = $$2 \times 7,050$$

=> $$(P + Q) = 14,100$$ ---------------Eqn(1)

Similarly, $$(Q + R) = 15,400$$ --------------Eqn(2)

$$(P + R) = 16,500$$ -----------------Eqn(3)

Adding above equations, we get :

=> $$2 (P + Q + R) = 14,100 + 15,400 + 16,500 = 46,000$$

=> $$(P + Q + R) = \frac{46,000}{2} = 23,000$$

Substituting value of (Q + R) from eqn (2)

=> $$P + 15,400 = 23,000$$

=> $$P = 23,000 - 15,400$$ = Rs. $$7,600$$

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The average monthly income of P and Q is Rs. 7,050/­. The average monthly income of Q and R is Rs.7,700/­ and that of P and R is Rs.8,250/­. What is the monthly income of P ?