The Cost Calculation for Notebooks: A Step-by-Step Guide
When dealing with simple arithmetic problems like calculating the cost of multiple notebooks, understanding the underlying principles can help in quickly arriving at the solution. Let's explore the step-by-step reasoning and the formula used in determining the cost of 50 notebooks based on the cost of 5 notebooks.
Understanding the Given Information
The problem statement is clear: The introductory cost of 5 notebooks is Rs 200. The question asks us to find out the cost of 50 notebooks. This involves a straightforward application of basic multiplication and division.
The Simple Arithmetic Behind the Problem
First, let's break down the problem using a systematic approach:
Understanding the given value: We are told that 5 notebooks cost Rs 200. Determining the unit cost: To find the cost of a single notebook, we need to divide the total cost (Rs 200) by the number of notebooks (5). Multiplying to find the new total: Once we have the cost of a single notebook, we can multiply it by the number of notebooks we are interested in (50 in this case) to find the total cost.Step-by-Step Solution
Let's go through the solution in more detail:
Calculate the cost per notebook:Cost per notebook Rs 200 / 5 Rs 40
Multiply the cost per notebook by 50 to get the cost of 50 notebooks:Total cost of 50 notebooks Rs 40 * 50 Rs 2000
Conclusion and Practical Application
Therefore, the cost of 50 notebooks is Rs 2000. This calculation is similar to many real-world scenarios where you need to determine the total cost of a larger quantity based on the cost of a smaller, predefined unit. The problem can also be approached by directly using the initial ratio, as the initial question suggested:
Rs 200 for 5 notebooks
Rs 2000 for 50 notebooks (10 times the initial cost)
Understanding how to perform these calculations can be crucial, especially in contexts such as budgeting, commerce, and basic economic planning. The ability to perform such calculations efficiently can save time and ensure accuracy in financial dealings.