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.
Avinash Kumar Maurya said:
1 decade ago
p/2+q/2 = 5050-------1.
q/2+r/2 = 6250--------2.
from equation 2,
q/2 = 6250-r/2.
Put equation 1 in q/2.
p/2+6250-r/2 = 5050.
p/2-r/2 = 5050-6250.
p/2-r/2 = -1200.
According 3 condition,
p/2+r/2 = 5200-------3.
From add 2 and 3,
p/2-r/2+p/2+r/2 = -1200+500.
p/2+p/2 = 4000.
p = 4000.
q/2+r/2 = 6250--------2.
from equation 2,
q/2 = 6250-r/2.
Put equation 1 in q/2.
p/2+6250-r/2 = 5050.
p/2-r/2 = 5050-6250.
p/2-r/2 = -1200.
According 3 condition,
p/2+r/2 = 5200-------3.
From add 2 and 3,
p/2-r/2+p/2+r/2 = -1200+500.
p/2+p/2 = 4000.
p = 4000.
B.E(Bekar Engg) said:
1 decade ago
(p+q) + (q+r) + (p+r) here p, q, r comes two time;
So that, 2(p+q+r) =16500.
16500/2 = 8250;
p+q+r = 8250;
q+r = 6250;
8250-6250 = 2000;
As above mention p is 2 time. So 2(2000) = 4000;
So that, 2(p+q+r) =16500.
16500/2 = 8250;
p+q+r = 8250;
q+r = 6250;
8250-6250 = 2000;
As above mention p is 2 time. So 2(2000) = 4000;
Reejesh said:
1 decade ago
Hi All,
Can this be done in this way?
Average of
(i) PQ = 5050.
(ii) QR = 6250.
(iii) PR = 5200.
Total 10250.
10250-6250 = 4000.
Can this be done in this way?
Average of
(i) PQ = 5050.
(ii) QR = 6250.
(iii) PR = 5200.
Total 10250.
10250-6250 = 4000.
Akash said:
1 decade ago
P&Q = 5200.
Q&R = 6250.
P+R = 5200.
= ((P+Q) + (P+R)) - (Q+R).
== (5050+5200) - 6250.
= 4000.
Q&R = 6250.
P+R = 5200.
= ((P+Q) + (P+R)) - (Q+R).
== (5050+5200) - 6250.
= 4000.
Tin said:
1 decade ago
Why we need to subtract 6250? I can hardly understand.
Mayur said:
1 decade ago
5050+5200+6250 = 16500 Now Q and R is 6250 i.e 2*6250 = 12500.
Now P is 16500-12500 = 4000.
Now P is 16500-12500 = 4000.
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.
P and R is Rs. 5200.
Q and R is Rs. 6250.
5050+5200-6250 = 4000.
Aaditya said:
1 decade ago
If the average income of 10 persons is Rs. 21 and the average income of 150 persons is Rs. 25. Then find the average income of 50 persons.
Ananthi Ck said:
1 decade ago
Let p&q =5050---(1).
q& r = 6250 --- (2).
p&r = 5200---(3).
We have to find p?
So, (1)+(3)p&q+p&r = 5050+5200.
p&Q&r = 10250 already given q&r = 6250.
We need to find p only, so p = (p&Q&r)10250 -(q&r)6250 (1)+(3)-(2).
p = 4000.
q& r = 6250 --- (2).
p&r = 5200---(3).
We have to find p?
So, (1)+(3)p&q+p&r = 5050+5200.
p&Q&r = 10250 already given q&r = 6250.
We need to find p only, so p = (p&Q&r)10250 -(q&r)6250 (1)+(3)-(2).
p = 4000.
Ananthi ck said:
1 decade ago
P and Q = 5050.
Q and R = 6250.
P and R = 5200.
We need income of p.
So 6250-5050 = 1200.
5200 - 1200.
= 4000.
Q and R = 6250.
P and R = 5200.
We need income of p.
So 6250-5050 = 1200.
5200 - 1200.
= 4000.
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