Question

Surendra has some money with him he gave 40% of it to his son and 25% of the remaining to his daughter if 7200 are still left with him find the amount of money he had

Answer 1

Let the initial amount with Mr.jones be Rs.x then,

Money given to wife= Rs.(40/100)x=Rs.2x/5.

Balance=Rs(x-(2x/5)=Rs.3x/5.

Money given to 3 sons= Rs(3X((20/200) X (3x/5)) = Rs.9x/5.

Balance = Rs.((3x/5) – (9x/25))=Rs.6x/25.

Amount deposited in bank= Rs(1/2 X 6x/25)=Rs.3x/25.

Therefore 3x/25=12000 

x= ((12000 x 35)/3)=100000

So Mr.Jones initially had Rs.1,00,000 with him.

Short-cut Method : 

Let the initial amount with Mr.Jones be Rs.x

Then,(1/2)[100-(3*20)]% of x=12000

=> (1/2)*(40/100)*(60/100)*x=12000

x=((12000*25)/3)=100000