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.

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/-.

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.

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.

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.

Clarification said:   1 decade ago
@Praveen's process simple n right..but he forget multiply r.h.s with 2 because it is average of two items.

Akash said:   1 decade ago
P&Q = 5200.
Q&R = 6250.
P+R = 5200.

= ((P+Q) + (P+R)) - (Q+R).

== (5050+5200) - 6250.

= 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.

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

Srikanth said:   1 decade ago
Why we do like:

5050*2 =

6250*2=

From where we get this 2 value.

Can you explain any one?

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.


Post your comments here:

Your comments will be displayed after verification.