Question

a man gives 40%of his money to his children and 20% of the remaining to a trust.if he is still left with rs.9600,what did he originaly have?

Answer 1

let man has 100%
after giving 40% of his children man had 100-40=60
20% of 60 is 12
therefore atlast man had 48%

if 48%=9600
100%=20000

origiñally man have 2000 rs

Answer 2

Let the initial Income be x

Man gives 40% to children = 40% of x

He gives 20% of remaining to atrust = 20% of ( x - 40% of x)

Savings = 9600

So we can formulate an equation

(x- 40%of x)- 20%(x- 40%of x) = 9600

(x -0.4x) - 20%( x - 0.4x) = 9600

(x - 0.4x) - 20%of x - 20%(-0.4x) = 9600

0.6x - 0.2x -(-0.08x) = 9600

0.4x +0.08x = 9600

0.48x = 9600

x = 9600/0.48

x = 20000 is the initial Income