Question

₹2100 is divided among p, q and r in such a way that p's share is half of the combined share

of q and r, and q's share is one-fourth of the combined share of p and r. By what amount is

r's share more than that of p?

Answer 1

Step-by-step explanation:

2100 is divided among P, Q and R in such a way that P's share is half of the combined share of Q and R, and Q's share is one-fourth of the combined share of P and R.

Answer 2

r's share is Rs.280 more than that of p's share

-the total amount is 2100

-p + q + r = 2100........(1)

-By the first condition, p's share is half of the combined share  of q and r

so, p = 0.5 (q + r)

=> q+r = 2p

-From 1,

p + 2p = 2100

=> p = 700.......(2)

-By the second condition, q's share is one-fourth of the combined share of p and r

so, q = 0.25 (q + r)

=> p+r = 4q

from 1,

q + 4q = 2100

=> q = 420.............(3)

-From 1,2 and 3, we can find that r = 980

-Therefore p-r=980-700=280