Question

Rs. 8750/- is to be distributed to three persons P, Q and R. Q receives 1/4 of what P and R receive together and P receives 2/5 of what Q and R receive together. Then, P receives the amount (in rupees)
(1) 2500
(2) 2400
(3) 2300
(4) 2200

Answer 1

let the money received by P be p, by Q be q and by R be r
than
q=1/4*(p+r) ....1
p=2/3*(q+r) .....2
put eq 1 in two
p=2/3*((p+r)/4+r)
p=2/3(p+r+4r) /4
p=(p+5r) /6
5p=5r
p=r
put in ex 2
r=2/3(r+q)
3r=2r+2q
r=2q=p
ratio =1:2:1
let the sum be 4x
4x=8750
x=4375/2
x=2187.5
p=2187.5

Are you suer the question is correct
please inform me if the question is right or my answer is wrong but if you take the round of the answer can be 2200

Answer 2

Answer:

Step-by-step explanation:

P+Q+R=8750......1

q=1/4(p+r)....2

P=2/5(q+r).....3

Let's 3

5p/2 = q+r

Let's .......1

P+5p/2=8750

7p=17500

P=2500