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 ?
1). Rs. 7,200/
2). Rs. 7,800/
3). Rs. 7,400/
4). Rs. 8,000/
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. $7,600$
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. $7,600$