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 8 of 10.
Lokesh patil said:
5 years ago
In simple words, 5050 + 5200 = 10250.
10250 - 6250 = 4000.
10250 - 6250 = 4000.
(17)
Vishesh said:
1 decade ago
@Praveen how did you get -(q+r) can you explain in detail?
Shree Hema said:
1 decade ago
Why we are multiplying every equation with 2 only in RHS?
Tin said:
1 decade ago
Why we need to subtract 6250? I can hardly understand.
Amandha said:
1 decade ago
Praveen is wrong why means 8250-6250=2000 not 4000.
Sanket bobde said:
6 years ago
Great experience and thank you all for explaining.
Likhita said:
8 years ago
Thanks @Tarun it's very excellent explanation.
Bhavna said:
8 years ago
Very nice way explanation thanks @Tarun.
Sunil said:
1 decade ago
Please help me for this 8250-6250= 4000.
Ratnakar said:
2 decades ago
It can also done as (i) + (iii) - (ii).
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