An enterprising businessman ears an income of Re.1 on the first day of his business. On every subsequent day, he eams an income which is just double of that made on the previous day. On the 10th day of business, his income is :

Options

A. Rs. `2^9`
B. Rs. `2^10`
C. Rs. `10`
D. Rs. `10^2`

Answer

A

Explanation

According to the question,

So, Income on the `10^(th)` day = Rs. `2^n - 1 " " [ because n^(th) "day"]`
`= Rs. 2^((10-1)) = Rs. 2^9 " " [because n= 10]`