Q.

The average monthly income of P and Q is Rs.5050. The average monthly income of


Q and R is Rs.6250 and the average monthly income of P and R is Rs. 5200. The


monthly income of P is:


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a

Rs 3500

b

Rs 4000

c

Rs 4050

d

Rs 5000 

answer is B.

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Detailed Solution

Given,
The average monthly income of P and Q= Rs.5050
The average monthly income of Q and R= Rs.6250
The average monthly income of P and R = Rs.5200
Thus,
P+Q=(5050×2)=10100.. (1)
Q+R=(6250×2)=12500.. (2)
P+R=(5200×2)=10400. (3)
Adding (1), (2) and (3) we get,
2P+Q+R=33000 
P+Q+R=330002
(P+Q+R)=16500.. (4) 
Now, subtract (2) from (4),
P+Q+R-Q+R=16500-12500
P=4000
Thus,P's  monthly income =Rs.4000.
Correct option is 2.
 
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