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 the difference in budget allocations between the Education and Health departments, we first calculate the individual amounts based on their respective percentages of the total budget.

1. Health Department Allocation:

The Health department is allocated 18% of the total budget.

Formula: \( \text{Health Amount} = \text{Total Budget} \times \frac{18}{100} \)

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

2. Education Department Allocation:

The Education department is allocated 24% of the total budget.

Formula: \( \text{Education Amount} = \text{Total Budget} \times \frac{24}{100} \)

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

3. Calculate the Difference:

Subtract the Health department's allocation from the Education department's allocation to find the excess amount.

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

Conclusion: The Education department's budget is 15.6 lakh greater than the Health department's budget.