Analyzing State R's Education Budget Allocation

The question asks us to determine the change in budget allocation for State R from 2022 to 2023, given that the 2023 allocation increased by 13% of the average allocation from 2019 to 2022.

First, let's look at the budget allocations for State R for the years 2019 to 2022 from the provided table:

Calculating the Average Budget Allocation (2019-2022) for State R

To find the average budget allocation for State R from 2019 to 2022, we sum the allocations for these four years and divide by the number of years.

Sum of allocations from 2019 to 2022 for State R:

\( \text{Sum} = 374 + 344 + 384 + 440 \text{ Rs. crore} \)

\( \text{Sum} = 1542 \text{ Rs. crore} \)

Average allocation from 2019 to 2022 for State R:

\( \text{Average} = \frac{\text{Sum}}{\text{Number of years}} = \frac{1542}{4} \text{ Rs. crore} \)

\( \text{Average} = 385.5 \text{ Rs. crore} \)

Calculating the Budget Allocation for State R in 2023

The problem states that the budget allocation in 2023 is an increase to the tune of 13% of the average budget allocation from 2019 to 2022. This means the 2023 budget is the average budget plus 13% of the average budget.

Increase amount = 13% of Average allocation

\( \text{Increase amount} = 0.13 \times 385.5 \text{ Rs. crore} \)

\( \text{Increase amount} = 50.115 \text{ Rs. crore} \)

Budget allocation for State R in 2023:

\( \text{Budget in 2023} = \text{Average allocation} + \text{Increase amount} \)

\( \text{Budget in 2023} = 385.5 + 50.115 \text{ Rs. crore} \)

\( \text{Budget in 2023} = 435.615 \text{ Rs. crore} \)

Finding the Change from 2022 to 2023 Allocation

Now, we need to compare the budget allocation in 2023 with the allocation in 2022.

Budget allocation for State R in 2022 (from the table) is 440 Rs. crore.

Budget allocation for State R in 2023 is 435.615 Rs. crore.

Change in allocation from 2022 to 2023 = Budget in 2023 - Budget in 2022

\( \text{Change} = 435.615 - 440 \text{ Rs. crore} \)

\( \text{Change} = -4.385 \text{ Rs. crore} \)

Since the change is negative, it represents a decrease in budget allocation.

The decrease in allocation for the year 2023 from 2022 is Rs. 4.385 Crore.

Conclusion on State R Budget Change

Based on the calculations, the budget allocation for State R in 2023 is Rs. 435.615 crore. Compared to the 2022 allocation of Rs. 440 crore, this represents a decrease of Rs. 4.385 crore.

Revision Table: State R Budget Analysis

Additional Information: Understanding Budget Data

Analyzing budget allocation data over several years helps understand trends and priorities in different sectors like education. Here are some related concepts:

• Average: The average (or mean) is a central value of a set of numbers, calculated by dividing the sum of the numbers by the count of the numbers. It provides a single figure that represents the typical value in a dataset over a period.
• Percentage Increase/Decrease: This measures the relative change between two values. A percentage increase means the new value is higher, while a percentage decrease means the new value is lower. It is calculated as \( \frac{\text{Change}}{\text{Original Value}} \times 100\% \). In this problem, the 13% increase is relative to the *average* allocation, not necessarily the previous year's allocation.
• Data Interpretation: This involves analyzing and understanding numerical data presented in tables, charts, or graphs to answer specific questions or identify patterns.
• Financial Data Analysis: Looking at budget figures helps assess financial performance, resource allocation, and potential future spending. Changes in budget allocation can indicate shifts in government priorities or economic conditions.