Question

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

• A. Rs. $2^9$
• B. Rs. $2^{10}$
• C. Rs. 10
• D. Rs. ${10}^2$

Answer 1

The correct option is A Rs. $2^9$

Given, income on the first day = Rs 1
Again, income on the 2nd day = Rs 1 x 2 = Rs $2^1$
Now, income on the third day = Rs 2 X Rs $2^1$ = Rs $2^2$ and so on.
Therefore, income on the nth day = Rs $2^{n-1}$
So, income on 10th day = Rs $2^9$
Hence, option (A) is the correct answer.