1. 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 ?
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By: anil on 05 May 2019 01.20 am
Sum of incomes of P & Q = $$2 imes 7,050$$ => $$(P + Q) = 14,100$$ ---------------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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