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 5 of 10.
Vipin said:
9 years ago
The quickest method is :
(p and q) + (p and r) - (q and r).
5050 + 52000 - 6250.
10250 - 6250.
Answer is = 4000.
(p and q) + (p and r) - (q and r).
5050 + 52000 - 6250.
10250 - 6250.
Answer is = 4000.
Pranav said:
9 years ago
Think Logically.
Given Data:
P and Q = 5050.
Q and R = 6250.
P and R = 5200.
Solution:
Take common point = (Q and R) - (P and R).
(6250) - (5200) = 1050 -----> equation 1.
Now,
(P and Q) - (equation 1).
(5050) - (1050) = 4000.
So, the Answer is 4000.
Given Data:
P and Q = 5050.
Q and R = 6250.
P and R = 5200.
Solution:
Take common point = (Q and R) - (P and R).
(6250) - (5200) = 1050 -----> equation 1.
Now,
(P and Q) - (equation 1).
(5050) - (1050) = 4000.
So, the Answer is 4000.
Bhanu ravali said:
1 decade ago
P + Q + = 10100.
+ Q + R = 12500.
---------------
P + 2Q + R = 22600.
P + + R = 10400 (subtraction).
--------------
2Q = 12200.
Q = 6100.
P + Q = 10100.
P = 10100 - 6100.
= 4000.
+ Q + R = 12500.
---------------
P + 2Q + R = 22600.
P + + R = 10400 (subtraction).
--------------
2Q = 12200.
Q = 6100.
P + Q = 10100.
P = 10100 - 6100.
= 4000.
Nidhi said:
1 decade ago
Thanks @Vinay.
Now I got it you have done the simplest way to solve.
You have a good explain ability.
Now I got it you have done the simplest way to solve.
You have a good explain ability.
Vinay said:
1 decade ago
P+Q = 5050*2 = 10100.
Q+R = 6250*2 = 12500.
P+R = 5200*2 = 10400.
P+Q + Q+R + P+R = 33000.
2P+2Q+2R = 33000.
2(P+Q=R) = 33000.
So, P+Q+R = 16500.
P+12500 = 16500. Because Q+R = 12500.
Hence P = 16500-12500 = 4000.
P+R = 10400.
R = 10400-4000 = 6400.
Q+R = 12500.
Q = 12500-6400 = 6100.
Q+R = 6250*2 = 12500.
P+R = 5200*2 = 10400.
P+Q + Q+R + P+R = 33000.
2P+2Q+2R = 33000.
2(P+Q=R) = 33000.
So, P+Q+R = 16500.
P+12500 = 16500. Because Q+R = 12500.
Hence P = 16500-12500 = 4000.
P+R = 10400.
R = 10400-4000 = 6400.
Q+R = 12500.
Q = 12500-6400 = 6100.
(1)
Aarthi said:
1 decade ago
p+q = 5050.
q+r = 6250.
p+r = 5200.
We have to add this three equations P+q+q+r+p+r = 16500.
Then we get 2(p+q+r) = 16500.
p+q+r = 8250.
q+r = 6250.
We want to solve the above two equations then we get p = 2000.
For me the correct value is 2000.
q+r = 6250.
p+r = 5200.
We have to add this three equations P+q+q+r+p+r = 16500.
Then we get 2(p+q+r) = 16500.
p+q+r = 8250.
q+r = 6250.
We want to solve the above two equations then we get p = 2000.
For me the correct value is 2000.
(1)
Kiran said:
1 decade ago
P & Q = 5050.
Q & R = 6250.
P & R = 5200.
= 5050/2 + 6250/2 + 5200/2.
= 2525+3125+2600.
= 8250-6250.
= 4000/-.
Q & R = 6250.
P & R = 5200.
= 5050/2 + 6250/2 + 5200/2.
= 2525+3125+2600.
= 8250-6250.
= 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.
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