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:
3500
4000
4050
5000
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 7 of 10.

Tadele said:   4 years ago
In simple word;
5050 + 5200 = 10250.
10250 - 6250 = 4000.

The correct answer is 4000.
(75)

Vamsi said:   6 years ago
P&Q+P&R=5050+5200=10250.

Q&R=10250 (PQR total value) -6250 (QR) =4000 this is answer.
(4)

Teja said:   1 decade ago
P and Q is Rs. 5050.
P and R is Rs. 5200.
Q and R is Rs. 6250.

5050+5200-6250 = 4000.

Kheyali Chanak said:   8 years ago
It will be simple if apply (i)- (ii)+(iii) then we get 2P=8000, therefore P=4000.

Srinivas said:   1 decade ago
p+q= 5050
p+r=5200
total= 10250
here substract(-)q+r = 6250
p = 4000 (ans)

Isha said:   1 decade ago
@Praveen can you help me

Hence p+q+r-(q+r)=p+q+r-q-r=>

p=8250-6250=4000

RECHU said:   9 years ago
SIMPLY
P + Q + R = 16500.
P + 12500 = 16500.
P = 16500 - 12500.
P = 4000.

YESU BABU PAGIDIMALLA said:   1 decade ago
Income of p=5050+5200-6250
=10250-6250
=4000

Luciano said:   8 years ago
Why can't we take (5050+6250-5200)/2 = Q , Then use 5050 - Q = P?

Sudhagar said:   1 decade ago
Any one can explain briefly ? i dont understand the last step..


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