Question

A pie chart shows the allocation of a 260 lakh annual budget among 5 departments. If the Health department gets 18% and Education gets 24%, how much more does Education get than Health? 

• A. 15.6
• B. 14.2
• C. 18.5
• D. 19.6

Hint:

For percentage problems, convert percentages into actual values using the base amount, then compare or subtract as needed.

Answer 1

The Correct Option is A

To determine how much more the Education department receives compared to the Health department, we must first calculate the budget allocation for each department based on the given percentages.

1. Calculate the amount for the Health department:

The Health department receives 18% of the total budget.

Formula: \( \text{Amount for Health} = \text{Total Budget} \times \frac{\text{Percentage for Health}}{100} \)

Calculation: \( 260 \text{ lakh} \times \frac{18}{100} = 46.8 \text{ lakh} \)

2. Calculate the amount for the Education department:

The Education department receives 24% of the total budget.

Formula: \( \text{Amount for Education} = \text{Total Budget} \times \frac{\text{Percentage for Education}}{100} \)

Calculation: \( 260 \text{ lakh} \times \frac{24}{100} = 62.4 \text{ lakh} \)

3. Find the difference in allocations:

To find out how much more the Education department receives than the Health department, subtract the Health allocation from the Education allocation.

Difference: \( 62.4 \text{ lakh} - 46.8 \text{ lakh} = 15.6 \text{ lakh} \)

Conclusion: The Education department receives 15.6 lakh more than the Health department.

Answer 2

To solve the problem, we need to find how much more money the Education department receives compared to the Health department from a total budget of ₹260 lakhs.

1. Understanding the Percent Allocations:
We are given the percentage allocations for two departments:

Health = 18% of total budget
Education = 24% of total budget

2. Calculating the Amounts:
The total budget is ₹260 lakhs. Let's calculate the actual amounts for each department.

Health allocation = \( \frac{18}{100} \times 260 = 46.8 \, \text{lakhs} \)
Education allocation = \( \frac{24}{100} \times 260 = 62.4 \, \text{lakhs} \)

3. Finding the Difference:
Now subtract the Health allocation from the Education allocation:

Difference = \( 62.4 - 46.8 = 15.6 \, \text{lakhs} \)

Final Answer:
The Education department gets ₹15.6 lakhs more than the Health department.