Direction : Consider the following for the two (02) items that follow : The budget allocations represented in a pie diagram under five different heads A, B, C, D and E are respectively 40%, 18%, 9%, 25% and 8%. The total budget allocation is ₹300.4 lakhs.
How much less amount is allocated to A and C together as compared to B, D and E together?
₹6.008 lakhs
Understanding Budget Allocation from a Pie Chart
The problem provides budget allocations across five different heads, A, B, C, D, and E, represented as percentages in a pie chart. The total budget allocation is given as ₹300.4 lakhs. We need to find the difference in the amount allocated to heads A and C combined, compared to the amount allocated to heads B, D, and E combined.
The given percentages for each head are:
- Head A: 40%
- Head B: 18%
- Head C: 9%
- Head D: 25%
- Head E: 8%
Let's first verify if the total percentage is 100%:
\(\text{Total Percentage} = 40\% + 18\% + 9\% + 25\% + 8\% = 100\%\)
This confirms the percentages represent the complete budget.
Calculating Combined Allocations
We need to find the total percentage allocated to (A + C) and the total percentage allocated to (B + D + E).
Percentage for (A + C) = Percentage of A + Percentage of C
Percentage for (A + C) = \(40\% + 9\% = 49\%\)
Percentage for (B + D + E) = Percentage of B + Percentage of D + Percentage of E
Percentage for (B + D + E) = \(18\% + 25\% + 8\% = 51\%\)
Note that \(49\% + 51\% = 100\%\), which accounts for the entire budget.
Converting Percentages to Amounts
The total budget allocation is ₹300.4 lakhs. To find the amount allocated to each group, we convert the percentages to fractions of the total budget.
Amount allocated to (A + C) = \(49\%\) of ₹300.4 lakhs
Amount allocated to (A + C) = \(\frac{49}{100} \times 300.4\) lakhs
Amount allocated to (A + C) = \(0.49 \times 300.4\) lakhs
Amount allocated to (A + C) = ₹147.196 lakhs
Amount allocated to (B + D + E) = \(51\%\) of ₹300.4 lakhs
Amount allocated to (B + D + E) = \(\frac{51}{100} \times 300.4\) lakhs
Amount allocated to (B + D + E) = \(0.51 \times 300.4\) lakhs
Amount allocated to (B + D + E) = ₹153.204 lakhs
Finding the Difference in Allocation
The question asks how much less amount is allocated to A and C together as compared to B, D and E together. This means we need to find the difference: (Amount B + D + E) - (Amount A + C).
Difference = Amount allocated to (B + D + E) - Amount allocated to (A + C)
Difference = ₹153.204 lakhs - ₹147.196 lakhs
Difference = ₹6.008 lakhs
Alternatively, we could calculate the difference in percentages first and then find that percentage of the total budget.
Difference in percentage = Percentage for (B + D + E) - Percentage for (A + C)
Difference in percentage = \(51\% - 49\% = 2\%\)
Difference in amount = \(2\%\) of ₹300.4 lakhs
Difference in amount = \(\frac{2}{100} \times 300.4\) lakhs
Difference in amount = \(0.02 \times 300.4\) lakhs
Difference in amount = ₹6.008 lakhs
Both methods yield the same result.
Summary of Calculations
| Group | Heads Included | Combined Percentage | Amount (₹ lakhs) |
|---|---|---|---|
| Group 1 | A, C | 49% | 147.196 |
| Group 2 | B, D, E | 51% | 153.204 |
| Difference | Group 2 - Group 1 | 51% - 49% = 2% | 153.204 - 147.196 = 6.008 |
The amount allocated to A and C together is ₹6.008 lakhs less than the amount allocated to B, D, and E together.
Revision Table: Key Budget Allocation Concepts
| Concept | Description | Calculation Example (using total budget ₹300.4 lakhs) |
|---|---|---|
| Percentage Allocation | The proportion of the total budget assigned to a specific head or group, expressed as a percentage. | Head A: 40% |
| Total Budget | The total amount of money available for allocation across all heads. | ₹300.4 lakhs |
| Amount Calculation | Converting a percentage allocation into a specific monetary value. | Amount for A = \(\frac{\text{Percentage of A}}{100} \times \text{Total Budget}\) |
| Difference Calculation | Finding the numerical difference between two allocated amounts. | Difference = Amount of Group 2 - Amount of Group 1 |
Additional Information on Pie Charts and Budgeting
Pie charts are commonly used graphical tools to represent parts of a whole. In budget allocation, a pie chart visually shows how the total budget is divided among different categories or heads. Each slice of the pie represents a budget head, and the size of the slice is proportional to the percentage of the total budget it receives.
- The sum of percentages of all slices in a pie chart is always 100%.
- To find the actual value of a slice (amount allocated to a head), you multiply the total budget by the percentage allocation (converted to a decimal or fraction).
- Budget allocation is the process of assigning available funds to different purposes, allowing organizations or individuals to plan and control spending.
- Understanding budget allocations is crucial for financial analysis and planning.
Similar Questions
How much amount will be increased on A if the total budget is increased by three times?
A pie chart is drawn for the following data:
Sector
Percentage
Agriculture and Rural development
12.9
Irrigation
12.5
Energy
27.2
Industry and Minerals
15.4
Transport and communication
15.9
Social services
16.1
What is the angle (approximately) subtended by the social services sector at the centre of the circle?
The pie diagrams on the monthly expenditure of two families A and B are drawn with radii of two circles taken in the ratio 16 : 9 to compare their expenditures.
Which one of the following is the appropriate data used for the above mentioned pie diagram?Which one of the following is not correct?
The proportion of various items in a pie diagram is proportional to theIn a pie diagram, there are four slices with angles 150°, 90°, 60° and 60°. A new pie diagram is formed by deleting one of the slices having angle 60° in the given pie diagram. In the new pie diagram
There are two categories of employees in 2019 whose total strength remained the same in 2020. What are these two categories ?
In which one of the following categories of employees, the percentage change in number of employees in 2020 was maximum as compared to 2019?
What was the percentage increase of category-E employees in 2020 as compared to that in 2019 ?
There are two categories of employees whose strength increased/decreased by same percentage in 2020. What are the two categories ?
Important Questions from Pie Chart
Study the following pie-charts carefully to answer the questions.
If 70 percent children from village D go to school then what is the number of children attending school from village D ?
Study the following pie-charts carefully to answer the questions.Percentage break-up of number of children in five different villages
What is the respective ratio of total number of children from village A to village C ?
Study the following pie-charts carefully to answer the questions.Percentage break-up of number of children in five different villages
What is the total number of children in villages B and E ?
Study the chart and answer the question based, on the pie chart.The pie chart is given below shows expenditures incurred by a family on various items and savings in a month. Savings of the family is ₹ 8,000 in a month.
What is the total expenditure of the family for the month?
Study the chart and answer the question based, on the pie chart.The pie chart given below shows expenditures incurred by a family on various items and savings in a month. Savings of the family is ₹ 8,000 in a month.
How much more amount is spent on food than on housing?
