Question

The average monthly income of p and q is rs 5000. The average monthly income of q and r is rs 6000 and the average monthly income of p and r is 4000. The monthly income of p is

Answer 1

Answer:

Monthly income of p is rs 3000

Step-by-step explanation:

From given

(p+q) /2=5000

(q+r) /2=6000

(p+r) /2=4000

So evaluating

(p+q) =10000.. (1)

(q+r) =12000... (2)

(p+r) =8000... (3)

Subtract eqn (1) & (3), we get

q-r=2000.. (4)

Add (2) and (4)

2q=14000

q=7000

Sub in (1) and (3), we get

p=3000

r=5000

Answer 2

Dear Student

◆ Answer -

Monthly income of P = 3000 Rs

◆ Explanation -

The average monthly income of p and q is rs 5000.

(p+q)/2 = 5000

p+q = 5000×2

q = 10000-p ...(1)

The average monthly income of p and r is 4000.

(p+r)/2 = 4000

p+r = 4000×2

p+r = 8000

r = 8000-p ...(2)

The average monthly income of q and r is rs 6000.

(q+r)/2 = 6000

q+r = 6000×2

Putting (1) & (2),

10000-p + 8000-p = 6000×2

2p = 18000 - 12000

p = 6000

p = 3000 Rs

Therefore, monthly income of p is 3000 Rs.

Thankx dear...