Question

Ramu has some money with him. He gave one rupee to a beggar and he spent half of the remaining money to buy something for himself. The next day also he gave one rupee to the beggar and spent half of the remaining to buy something for himself. This pattern continued for 6 days. On the sixth day, when he gave one rupee to the beggar, he found that there was no money left with him. Find how much money did ramu had in the beginning?

Answer 1

let Ramu has x money
after give one rupees to beggar(x-1) rupees left
also spent by them then (x-1)/2rs left
again this process continued by six time
and 2nd day
{(x-1)/2-1}/2=(x-3)/4
3rd day
(x-7)/8eft ....
6th day
(x-63)/64rupees left which is give to bagger
(x-63)/64=1
x=127