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umesh

· started a discussion

· 1 Months ago

q (Question: 186060.0 )

12500 kahan se aya

Question:
The average monthly income of P and Q is Rs.5,050. The average monthly income of Q and R is Rs.6,250 and the average monthly income of P and R is Rs.5,200. The monthly income of P is –
Options:
A) Rs.3,500 
B) Rs.4,000
C) Rs.4,050
D) Rs.5,000
Solution:
Ans: (b)  

Let P, Q and R represent their respective monthly incomes. Then, we have:


P + Q = (5050 x 2) = 10100 .... (i)


Q + R = (6250 x 2) = 12500 .... (ii)


P + R = (5200 x 2) = 10400 .... (iii)


Adding (i), (ii) and (iii), we get:  2(P + Q + R) = 33000  or   P + Q + R = 16500 .... (iv)


Subtracting (ii) from (iv), we get P = 4000.


 P's monthly income = Rs. 4000.

Knowledge Expert

· commented

· 1 Months ago

Let P, Q and R represent their respective monthly incomes. Then, we have:

P + Q = (5050 x 2) = 10100 .... (i)

Q + R = (6250 x 2) = 12500 .... (ii)

P + R = (5200 x 2) = 10400 .... (iii)

Adding (i), (ii) and (iii), we get: 2(P + Q + R) = 33000 or P + Q + R = 16500 .... (iv)

Subtracting (ii) from (iv), we get P = 4000.

P's monthly income = Rs. 4000.
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