Aptitude - Average - Discussion
Discussion Forum : Average - General Questions (Q.No. 7)
7.
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:
Answer: Option
Explanation:
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.
Discussion:
93 comments Page 10 of 10.
Sudhagar said:
1 decade ago
Any one can explain briefly ? i dont understand the last step..
Praveen said:
1 decade ago
Dude can we do like this ?
p+q=5050
q+r=6250
p+r=5200
p+q+q+r+p+r=16500
2(p+q+r)=16500
p+q+r=8250
hence p+q+r-(q+r)=p+q+r-q-r=>
p=8250-6250=4000
p+q=5050
q+r=6250
p+r=5200
p+q+q+r+p+r=16500
2(p+q+r)=16500
p+q+r=8250
hence p+q+r-(q+r)=p+q+r-q-r=>
p=8250-6250=4000
Ratnakar said:
2 decades ago
It can also done as (i) + (iii) - (ii).
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