Points to Remember:
- The man earns â¹200 and spends â¹150 in a two-day cycle.
- Net earnings per cycle are â¹50 (â¹200 – â¹150).
- We need to determine the day when his total savings reach â¹600.
Introduction:
This is a mathematical word problem requiring an analytical approach. It involves calculating cumulative savings based on a repeating pattern of income and expenditure. Understanding the concept of arithmetic sequences is crucial to solving this problem efficiently. The problem presents a simple financial scenario, allowing us to illustrate the application of basic arithmetic to real-world situations.
Body:
1. Calculating Net Daily Earnings:
The man’s net earnings per two-day cycle are â¹50.
2. Determining the Number of Cycles:
To reach â¹600, we need to determine how many two-day cycles are required. This can be calculated by dividing the target amount by the net earnings per cycle:
â¹600 / â¹50/cycle = 12 cycles
3. Calculating the Total Number of Days:
Since each cycle consists of two days, the total number of days required is:
12 cycles * 2 days/cycle = 24 days
4. Identifying the Day:
The man will have â¹600 on the 24th day of the month. This is because the pattern repeats every two days, and after 12 cycles (24 days), his cumulative savings will reach â¹600.
Conclusion:
In summary, by analyzing the man’s income and expenditure pattern and applying basic arithmetic, we determined that he will have â¹600 on the 24th day of the month. This problem highlights the importance of understanding simple financial calculations and demonstrates how a repetitive pattern can be used to predict future outcomes. While this is a simplified model, it provides a foundational understanding of how to approach similar problems involving cyclical income and expenditure. Further complexity could be added by introducing variable income or expenditure, interest rates, or other financial factors. However, the core principle of analyzing the pattern and calculating cumulative values remains the same. This approach can be applied to more complex financial planning and budgeting scenarios.