To save money for a video game, Ajay starts putting 1 rupee in an envelope. Each day, for a total of 8 days, if he doubles the number of rupees from the day before, then the total amount he will have in the envelope after 8 days is Rs. ____.

Question

To save money for a video game, Ajay starts putting 1 rupee in an envelope. Each day, for a total of 8 days, if he doubles the number of rupees from the day before, then the total amount he will have in the envelope after 8 days is Rs. ____.

Accepted Answer

Concept- The total amount that Ajay has in envelope is Rs. 225. In the question, it is given that on the first day Ajay saves 1 rupee and for the coming days he doubles the amount of money every day. So we will start with 1 rupee and then double the amount of money every day for the number of days as mentioned in the question statement and then add them all, to obtain our desired answer.
Given, Ajay puts Re. 1 in the envelope on day 1.
Amount of money that he puts on Second day
(2

\times

amount of money that he puts on First day) =(2

\times

1) = Rs. 2
Amount of money that he puts on Third day = (2

\times

amount of money that he puts on Second day (2

\times

2) = Rs. 4
Amount of money that he puts on Fourth day=
(2

\times

amount of money that he puts on Third day) (2

\times

4) = Rs. 8
Amount of money that he puts on Fifth day=
(2

\times

amount of money that he puts on Fourth day ) =(2

\times

8) = Rs. 16
Amount of money that he puts on Sixth day =(2

\times

amount of money that he puts on Fifth day ) =(2

\times

16) = Rs. 32
Amount of money that he puts on Seventh day=
(2

\times

amount of money that he puts on Sixth day )
=(2

\times

32) = Rs. 64
Amount of money that he puts on Eighth day
=(2

\times

amount of money that he puts on Seventh day )
=(2

\times

64) =Rs. 128
Total amount ajay will have in the envelope after eight days
=(1+2+4+8+16+32+64+128)
=Rs .255
Hence, the correct answer is Rs. 255.

To save money for a video game, Ajay starts putting 1 rupee in an envelope. Each day, for a total of 8 days, if he doubles the number of rupees from the day before, then the total amount he will have in the envelope after 8 days is Rs. ____.

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