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 6 of 10.

Mani.bandavath said:   1 decade ago
p+q=5050*2=10100
q+r=6250*2=12500
p+r=5200*2=10400
than the total income is (p+q)+(q+r)+(p+r)= 133000
we have 2(p+q+r)=133000
next 2 dividing to 133000

It become p+q+r=16500
then we apply q+r values in there place
p+12500=16500
p=16500-12500
p=4000

Ok?

Samar said:   1 decade ago
p+q=5050
q+r=6250
p+r=5200
p+q+q+r+p+r=5050+6250+5200
2(p+q+r)=16500
p+q+r=16500/2
=8250
p+6250+8250
p=8250-6250
p=2000(Ans

A get the 2000Ans
How it comes 4000?

Please help me.

Sai kumar said:   1 decade ago
Simple method:

p+q+r=5050+5200=10250
we have to subtract q+r from it.. (ie)6250
10250-6250=4000 ans

Sunil said:   1 decade ago
Please help me for this 8250-6250= 4000.

Amandha said:   1 decade ago
Praveen is wrong why means 8250-6250=2000 not 4000.

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

Swathi said:   1 decade ago
4 A secret can be told only 2 persons in 5 minutes. The same person tells to 2 more persons and so on. How long will take to tell it to 768 persons?

A) 47. 5 min b) 50 min c) 500 min d) 49 min.

Can anyone help me in finding the solution for this problem as soon as possible ?

Sundarsac said:   1 decade ago
P + Q = (5050 x 2) = 10100 .... (i)

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

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

the above three equation need not multiplied by 2 we can get without multiplying by 2(because its only short metod)

Yazhini said:   1 decade ago
No confusion we can do like this

P + Q = (5050 x 2) = 10100
Q + R = (6250 x 2) = 12500
P + R = (5200 x 2) = 10400

We need only p so

p+q-(q+r)+p+r = p+q-q-r+p+r= 2P(cancel r and q)

10100-12500+10400=8000

2P = 8000

P = 4000.

Md hasim and km roy said:   1 decade ago
Simple method:.

p+q+r = 5050+5200 = 10250.

We have to subtract q+r from it. (ie) 6250.

10250-6250 = 4000 answer.


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