Budget Allocation Analysis for State Q

The question asks us to analyze the budget allocation for education in State Q, specifically focusing on the year 2022 and a proposed change for 2023 related to the budget for girls.

Let's first look at the provided table showing the budget allocations:

Understanding State Q's Budget Allocation

From the table, we can see the total budget allocation for State Q in 2022 is Rs. 364 crore.

The question provides additional information about how this budget is allocated within State Q:

• In 2022, 35% of State Q's budget was allocated for girls.
• In 2023, the budget allocation for girls was proposed to increase by 35% of the 2022 allocation for girls.
• No other change occurred in the budget allocation.

Step-by-Step Calculation of Percent Increase

We need to find the percent increase in the total budget allocation for State Q in 2023 compared to 2022. Since the only change is the increase in the budget for girls, this increase in the girls' budget is the total increase in the State Q budget for 2023.

Step 1: Find the total budget for State Q in 2022.

From the table, Total Budget for State Q in 2022 = Rs. 364 crore.

\( \text{Total Budget}_{2022, Q} = 364 \text{ crore} \)

Step 2: Calculate the budget allocated for girls in State Q in 2022.

Budget for girls in 2022 was 35% of the total budget in 2022.

\( \text{Budget for girls}_{2022, Q} = 35\% \text{ of } 364 \)

\( \text{Budget for girls}_{2022, Q} = \frac{35}{100} \times 364 \)

\( \text{Budget for girls}_{2022, Q} = 0.35 \times 364 \)

Step 3: Calculate the proposed increase in the budget for girls in 2023.

The increase was 35% of the allocation for girls in 2022.

\( \text{Increase in budget for girls}_{2023, Q} = 35\% \text{ of } (\text{Budget for girls}_{2022, Q}) \)

\( \text{Increase in budget for girls}_{2023, Q} = \frac{35}{100} \times (0.35 \times 364) \)

\( \text{Increase in budget for girls}_{2023, Q} = 0.35 \times 0.35 \times 364 \)

\( \text{Increase in budget for girls}_{2023, Q} = (0.35)^2 \times 364 \)

\( \text{Increase in budget for girls}_{2023, Q} = 0.1225 \times 364 \)

Step 4: Determine the total increase in budget allocation for State Q in 2023.

Since there were no other changes, the total increase in State Q's budget in 2023 compared to 2022 is exactly the increase in the budget for girls.

\( \text{Total Increase}_{2023 \text{ vs } 2022, Q} = \text{Increase in budget for girls}_{2023, Q} \)

\( \text{Total Increase}_{2023 \text{ vs } 2022, Q} = 0.1225 \times 364 \)

Step 5: Calculate the percent increase in total budget allocation for 2023 with reference to 2022.

The percent increase is calculated as: \( \frac{\text{Total Increase}}{\text{Original Budget}} \times 100 \).

Original Budget (reference) is the total budget in 2022, which is 364.

\( \text{Percent Increase} = \frac{0.1225 \times 364}{364} \times 100 \)

The term 364 cancels out:

\( \text{Percent Increase} = 0.1225 \times 100 \)

\( \text{Percent Increase} = 12.25 \)

So, the percent increase in budget allocation for 2023 with reference to 2022 is 12.25%.

Revision Table: Key Concepts

Additional Information: Data Interpretation Tips

When solving data interpretation problems involving tables and percentages, consider the following tips:

• Read the question carefully to understand exactly what is being asked. Identify the specific years, states, or categories involved.
• Note down the key numbers directly from the table that are relevant to the question.
• Break down percentage calculations step-by-step. Calculate intermediate values if necessary (like the budget for girls in 2022).
• Pay close attention to what the percentage is "of". For example, is the increase 35% of the original total budget, or 35% of a specific part of the budget?
• Understand the reference point for percent change (e.g., percent increase with reference to 2022 means the 2022 value is the denominator).
• Keep track of the units (e.g., Rs. crore, percentage).
• Simplify calculations where possible, as shown in the step where 364 cancelled out.