Jaideep was given some money by his mother on his birthday. Jaideep spent all of it in five
stores. In each store he spent one rupee more than half of what he had when he came in.
How much did he get from his mother?

Let $$y_i\ $$ represent the money Jaideep has when he enters the shop i.

Money spent by him = $$\frac{\ y_i}{2}+1\ $$ and money remaining withhim  is$$\frac{\ y_i}{2}-1\ $$

For 5th shop it is given that $$\frac{\ y_5}{2}-1\ =0\ $$ hence $$y_5$$ = 2. Therefore amount remaining with him after he exists Shop 4 is Rs 2

Which can be tabulated as

Hence  $$\frac{\ y_4}{2}-1\ $$ = 2 or $$y_4$$ = 6

Similarly $$y_1$$, $$y_2$$and$$y_3$$ can be calculated and the table gets filled as follows

Hence he got Rs 62 from his mother