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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 ?

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


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2 answers

4 vote
Answered by on | Votes 4 |
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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0 vote
Answered by on | Votes 0 |
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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