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 2 of 10.
Swapnil Andhale said:
6 years ago
Avg = sum/Number.
sum = avg*Number.
ie P+Q = 5050*2.
(2 is a no.of employees, candidate, etc . only P & Q is there ie. multiply it by 2).
sum = avg*Number.
ie P+Q = 5050*2.
(2 is a no.of employees, candidate, etc . only P & Q is there ie. multiply it by 2).
Sanket bobde said:
6 years ago
Great experience and thank you all for explaining.
Sanket jadhav said:
6 years ago
(P+Q)/2 =5050.
P+Q=10100 -----> 1
Similarly;
Q+R=12500 -----> 2
P+R=10400 -----> 3
.
.
.
Addition of these 3 equation.
P+Q+Q+R+P+R = 10100 + 12500 + 10400.
2(P+Q+R) = 33000,
P+Q+R=16500 -----> 4.
Put eqn 2 in eqn 4.
P+12500 = 16500,
P = 16500-12500,
P = 4000.
P+Q=10100 -----> 1
Similarly;
Q+R=12500 -----> 2
P+R=10400 -----> 3
.
.
.
Addition of these 3 equation.
P+Q+Q+R+P+R = 10100 + 12500 + 10400.
2(P+Q+R) = 33000,
P+Q+R=16500 -----> 4.
Put eqn 2 in eqn 4.
P+12500 = 16500,
P = 16500-12500,
P = 4000.
Sakshi Pandey said:
6 years ago
P + q= 5050*2=10100.
Q+r= 6250*2=12500.
P+r= 5200*4= 10400.
Monthly income of p = (q+r- (p+q+p+r))/2.
= (12500-10100+10400)/2=4000.
Q+r= 6250*2=12500.
P+r= 5200*4= 10400.
Monthly income of p = (q+r- (p+q+p+r))/2.
= (12500-10100+10400)/2=4000.
Dibyansh Pattanaik said:
6 years ago
@All.
1. Why we subtracted QR or Why we deducted QR?
2. What would be the solution if the monthly income of Q is asked?
Please, anyone, clarify it.
1. Why we subtracted QR or Why we deducted QR?
2. What would be the solution if the monthly income of Q is asked?
Please, anyone, clarify it.
Deepak Kumar sharma said:
6 years ago
5050 + 5200 = 10250-6250 = 4000.
Shahrukh said:
7 years ago
I don't know why the amount of q and are is being deducted?
P has two incomes 5050 and 5200. Why are the incomes of q and r is concerned with p? As it is cleared that p has these incomes. Question is about the income of p not about q and r.
P has two incomes 5050 and 5200. Why are the incomes of q and r is concerned with p? As it is cleared that p has these incomes. Question is about the income of p not about q and r.
Raghavendra said:
7 years ago
@Praveen.
The initial step wrong.
P+q=5050.
Q+r=6250.
P+r=5200.
Each value should multiply with 2 as it was average, not individual.
The initial step wrong.
P+q=5050.
Q+r=6250.
P+r=5200.
Each value should multiply with 2 as it was average, not individual.
Kiran said:
7 years ago
Well said @Dora.
Dora said:
7 years ago
Add the values of ( PQ+PR) - QR ie;
By doing this the value of Q and R will be excluded from both PQ and PR.
= (5050+5200)-6250,
=10200-6250.
= 4000.
By doing this the value of Q and R will be excluded from both PQ and PR.
= (5050+5200)-6250,
=10200-6250.
= 4000.
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