Question

Rs 3500 is to be shared among three people so that the first person gets 50% of the second, who in turn gets 50% of the third. How much will each of them get ?

Answer 1

Let the amount be shared among three people A,B and C. Let the amounts that A, B and C receive be Rs.X, Rs.Y and Rs.Z respectively.

We have, X + Y + Z = 3500 ( since total amount is 3500) -------(eqn 1)
Amount the second person (B) receives is 50% of the amount that third person (C) receives
ie Y= 50% of Z= (50/100)*Z = 0.5Z

Also,
Amount the first person (A) receives is 50% of the amount that second person (B) receives
X= 50% of Y= (50/100)*Y = 0.5Y

Substituting the values in equation 1,
X + Y + Z =3500
=> 0.5Y + 0.5Z + Z = 3500
=> 0.5*(0.5Z) + 0.5Z + Z = 3500 ( Substitute Y=0.5Z)
=> 0.25Z + 0.5Z + Z = 3500
=> 1.75Z = 3500
=> Z = 3500/(1.75)
= 2000
Y = 0.5Z = 0.5 * 2000 = 1000
X = 0.5Y = 0.5 * 1000 = 500

Hence the three people receives Rs 500, Rs1000 and Rs 2000 respectively.