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 7 of 10.
SHIVA KUMAR said:
8 years ago
hi asmara
First avg income P+Q= 10100 {1}
Q+R= 12500 {2}
P+R= 10400 {3}
First adding eq 1 and 2 (P+Q)+(P+R) = 10100+10400 = 20500.
2P+Q+R= 20500 [4].
then subtract eq 4 and 2.
2P+Q+R-(Q+R ) = 20500-12500=8000.
2P =8000.
P = 4000.
First avg income P+Q= 10100 {1}
Q+R= 12500 {2}
P+R= 10400 {3}
First adding eq 1 and 2 (P+Q)+(P+R) = 10100+10400 = 20500.
2P+Q+R= 20500 [4].
then subtract eq 4 and 2.
2P+Q+R-(Q+R ) = 20500-12500=8000.
2P =8000.
P = 4000.
Luciano said:
8 years ago
Why can't we take (5050+6250-5200)/2 = Q , Then use 5050 - Q = P?
Ravi said:
8 years ago
Superb, thanks @Praveen.
Santosh said:
8 years ago
It's very Simple firstly do addition were p is present in question and subtract to were p is absent. Like P and Q is 5050 then P and are is 5200 add both 5050+5200= 10,250 then subtract to Q and are is 6250 then your answer will be 4000.
Kalpana said:
8 years ago
Anyone can help me by solving this?
The average of a group of 13 members is 48 years. A member of the group age 57 retired and in place of him a new person aged 18 joined the group. Find the new average of the group.
The average of a group of 13 members is 48 years. A member of the group age 57 retired and in place of him a new person aged 18 joined the group. Find the new average of the group.
Sadhya said:
8 years ago
first i tell the procedure @Kalpana.
13*48 = 624
57 - 18 = 39
so 624 - 39 = 585.
585\13 = 45 answer.
Or tricky method here average is 48 but the person who has 57 is retired that means 57 - 48 = 9 this is the number reduced.in addition to this in place of 48 only 18 joined that means there is a decrease of 30.
Finally, the decrease of average is 30 + 9 = 39. 39/13 =3 . so 48 - 3 = 45 answer.
13*48 = 624
57 - 18 = 39
so 624 - 39 = 585.
585\13 = 45 answer.
Or tricky method here average is 48 but the person who has 57 is retired that means 57 - 48 = 9 this is the number reduced.in addition to this in place of 48 only 18 joined that means there is a decrease of 30.
Finally, the decrease of average is 30 + 9 = 39. 39/13 =3 . so 48 - 3 = 45 answer.
Bhavna said:
8 years ago
Very nice way explanation thanks @Tarun.
Likhita said:
8 years ago
Thanks @Tarun it's very excellent explanation.
Kheyali Chanak said:
8 years ago
It will be simple if apply (i)- (ii)+(iii) then we get 2P=8000, therefore P=4000.
Subhankar said:
7 years ago
5050+5200=1025, 10250-6250=4000.
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