Interview Preparation Exam > Interview Preparation Notes > Puzzles for Interview > How much he had initially?
How much he had initially? | Puzzles for Interview - Interview Preparation PDF Download
| Table of contents |
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| Introduction |
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| Assumption |
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| Solution |
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| Conclusion |
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Introduction
Rama went on a quest to visit four temples, but he started with only a few coins in his pocket. Every time he visited a temple, his money doubled, but he also donated Rs. 100 on his way out. After visiting the fourth temple, he had no money left. The puzzle is to figure out how much money he had initially.
Assumption
Let's assume that Rama had Rs. x in his pocket at the beginning of his quest.
First Temple
When Rama entered the first temple, his money doubled to 2x. However, he donated Rs. 100 on his way out, leaving him with (2x - 100) in his pocket.
Second Temple
At the second temple, Rama's money doubled from (2x - 100) to 2(2x - 100). He donated another Rs. 100, leaving him with (4x - 300) in his pocket.
Third Temple
At the third temple, Rama's money doubled from (4x - 300) to 2(4x - 300). He donated another Rs. 100, leaving him with (8x - 700) in his pocket.
Fourth Temple
At the fourth temple, Rama's money doubled from (8x - 700) to 2(8x - 700). He donated another Rs. 100, leaving him with (16x - 1500) in his pocket.
Solution
Since Rama had no money left after visiting the fourth temple, we can equate (16x - 1500) to zero. Solving for x, we get x = 93.75. Therefore, Rama had started his quest with Rs. 93.75 in his pocket.
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Conclusion
Rama's temple quest was an interesting puzzle that required basic math skills to solve. By following the calculations step by step, we were able to figure out how much money he had initially. It is a good exercise for developing problem-solving skills.
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Apr 07, 2025
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