Question

Rs 35000 is to be shared among three people ,so that the first person gets 50%of one,second who is in turn gets 50%of the third .how much will each of them get?

Answer 1

let,
share of ist person =x
share of 2nd person =y
share of 3rd person=z
so, x+y+z =rs. 3500......(i)
now,as per given condition,we can write that,
y= 50% of z = z/2
x= 50% of y = y/2 = (z/2)/2 [putting y= z/2 ]
= z/4
from (i),
z/4 + z/2 +z =rs. 3500
i.e. (z+2z+4z)= rs.4*3500 [multiplying both sides by 4 ]
i.e 7z= rs. 4*3500
i.e. z= rs. (4*3500)/7 =rs. 2000
so, x= z/4 = rs.2000 /4 = rs. 500
and y = z/2 = rs.2000 /2 = rs. 1000