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An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income is
- a)Rs. 29
- b)Rs. 210
- c)Rs. 10
- d)Rs. 102
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An enterprising businessman earns an income of Re. 1 on the first day ...
Income on the first day = Re. 1.
Income on the 2nd day = Rs. (1x2) = Rs. 21.
Income on the 3rd day = Rs. (21 x 2) = Rs. 22 and so on. Thus, Income on the rath day = Rs. 2n-1.
Therefore Income on the 10th day = Rs. 29.
Most Upvoted Answer
An enterprising businessman earns an income of Re. 1 on the first day ...
Given:
- The businessman earns Re. 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.
To find:
The income of the businessman on the 10th day.
Solution:
To find the income on the 10th day, we can use the concept of geometric progression, where each term is double the previous term.
Geometric Progression:
A geometric progression is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
In this case, the common ratio is 2 because the income on each subsequent day is double the income of the previous day.
Income on the 1st day:
Given, the income on the first day is Re. 1.
Income on the 2nd day:
The income on the second day is double the income on the first day.
Income on the 2nd day = 2 * Re. 1 = Re. 2
Income on the 3rd day:
The income on the third day is double the income on the second day.
Income on the 3rd day = 2 * Re. 2 = Re. 4
Income on the 4th day:
The income on the fourth day is double the income on the third day.
Income on the 4th day = 2 * Re. 4 = Re. 8
Pattern:
From the given information, we can observe the following pattern:
Day 1: Re. 1
Day 2: Re. 2
Day 3: Re. 4
Day 4: Re. 8
...
Income on the 10th day:
Using the pattern, we can find the income on the 10th day.
Income on the 10th day = 2^(10-1) * Re. 1 = 2^9 * Re. 1 = 512 * Re. 1 = Rs. 512
Conclusion:
Therefore, the income of the businessman on the 10th day is Rs. 512. However, the provided options do not include Rs. 512, so the correct answer cannot be determined from the given options.
- The businessman earns Re. 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.
To find:
The income of the businessman on the 10th day.
Solution:
To find the income on the 10th day, we can use the concept of geometric progression, where each term is double the previous term.
Geometric Progression:
A geometric progression is a sequence of numbers in which each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
In this case, the common ratio is 2 because the income on each subsequent day is double the income of the previous day.
Income on the 1st day:
Given, the income on the first day is Re. 1.
Income on the 2nd day:
The income on the second day is double the income on the first day.
Income on the 2nd day = 2 * Re. 1 = Re. 2
Income on the 3rd day:
The income on the third day is double the income on the second day.
Income on the 3rd day = 2 * Re. 2 = Re. 4
Income on the 4th day:
The income on the fourth day is double the income on the third day.
Income on the 4th day = 2 * Re. 4 = Re. 8
Pattern:
From the given information, we can observe the following pattern:
Day 1: Re. 1
Day 2: Re. 2
Day 3: Re. 4
Day 4: Re. 8
...
Income on the 10th day:
Using the pattern, we can find the income on the 10th day.
Income on the 10th day = 2^(10-1) * Re. 1 = 2^9 * Re. 1 = 512 * Re. 1 = Rs. 512
Conclusion:
Therefore, the income of the businessman on the 10th day is Rs. 512. However, the provided options do not include Rs. 512, so the correct answer cannot be determined from the given options.
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An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer?
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An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer?.
An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer? for LR 2025 is part of LR preparation. The Question and answers have been prepared according to the LR exam syllabus. Information about An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for LR 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An enterprising businessman earns an income of Re. 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. One the 10th day of business, his income isa)Rs. 29b)Rs. 210c)Rs. 10d)Rs. 102Correct answer is option 'A'. Can you explain this answer?.
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