Data Interpretation
Pie Chart — Questions & Answers
A pie chart splits a single total into sectors given as percentages or as degrees. Convert between percent, degrees and actual values, then compare sectors or recover the whole from a known part.
- 5 solved questions
- Step-by-step AI walkthroughs
- Key formulas included
Key formulas
Sector value =100sector percent×total
Degrees to percent: 360degrees×100%; percent to degrees: 100percent×360∘
If a sector of p% equals value V, the total is pV×100
Directions — study the data below
Monthly Household Budget of a Family
The pie chart shows how a family divides its monthly budget across six categories. Study it and answer the questions below.
Underlying data
| Category | Share of budget |
|---|---|
| Rent | 30% |
| Food | 25% |
| Transport | 15% |
| Education | 12% |
| Savings | 10% |
| Others | 8% |
Total monthly budget = ₹36,000.
5 solved Pie Chart questions
How much does the family spend on Rent each month?
Solution — answer C
30% of ₹36,000 =0.30×36000=Rs10,800.
4 steps · reveal one at a timeStep 1: Identify Key Information
We need to find the monthly spending on Rent. From the problem context (implied), assume the family's total monthly income or budget is ₹36,000, and Rent accounts for 30% of this total.
Step 2: Calculate Rent Percentage
To find the amount spent on Rent, we need to calculate 30% of the total monthly income. This can be written as 0.30×Rs36,000.
Step 3: Perform the Calculation
Now, let's do the multiplication: 0.30×36000=10800. So, the family spends ₹10,800 on Rent each month.
Step 4: The answer
So the answer is (C) ₹10,800. This matches our calculated value for the monthly rent expense.
What is the central angle of the Food sector in the pie chart?
Solution — answer B
25% of 360∘=0.25×360=90∘.
4 steps · reveal one at a timeStep 1: Understand the chart
A pie chart shows parts of a whole. The entire circle represents 100% of the data, which corresponds to a full central angle of 360∘.
Step 2: Find Food's percentage
Look at the pie chart provided with the question. You should see that the Food sector represents 25% of the total.
Step 3: Calculate the angle
To find the central angle for the Food sector, calculate 25% of the total 360∘. This can be written as 0.25×360∘.
Step 4: The answer
So the answer is (B) 90°. Performing the calculation, 0.25×360∘=90∘.
How much more does the family spend on Food than on Education each month?
Solution — answer D
The difference is 25%−12%=13% of ₹36,000 =0.13×36000=Rs4,680.
5 steps · reveal one at a timeStep 1: Identify Spending Percentages
First, let's identify the percentage of the total monthly budget spent on Food and Education. From the given data, the family spends 25% on Food and 12% on Education.
Step 2: Calculate Percentage Difference
To find out how much more is spent on Food than Education, we calculate the difference between these two percentages: 25%−12%=13%. This is the percentage difference.
Step 3: Apply to Total Income
The total monthly family income (or total spending) is ₹36,000. We need to find 13% of this total. Convert the percentage to a decimal: 13%=0.13.
Step 4: Calculate the Amount
Now, multiply the decimal percentage by the total monthly income: 0.13×Rs36,000=Rs4,680. This is the amount more spent on Food than Education.
Step 5: The answer
So the answer is (D) ₹4,680. This amount represents the difference in spending between Food and Education each month.
Transport and Savings together account for what fraction of the total budget?
Solution — answer A
Together they are 15%+10%=25%=41 of the budget.
5 steps · reveal one at a timeStep 1: Identify percentages
First, find the percentage of the budget allocated to Transport and Savings. From the budget breakdown, Transport accounts for 15% and Savings accounts for 10%. These are the values we need.
Step 2: Sum the percentages
Now, add these two percentages together to find their combined share of the total budget. This gives us 15%+10%=25%. This is the total portion for Transport and Savings.
Step 3: Convert to fraction
The question asks for a fraction, so convert the combined percentage into a simple fraction. Remember that 25% means 25 out of 100, which can be written as 10025. Simplify this fraction.
Step 4: Simplify the fraction
To simplify 10025, divide both the numerator and the denominator by their greatest common divisor, which is 25. This results in 100÷2525÷25=41.
Step 5: The answer
So the answer is (A) 41. This fraction represents the combined portion of the budget for Transport and Savings.
If next year the total budget rises to ₹45,000 but the percentages stay the same, how much will be spent on Education?
Solution — answer C
12% of ₹45,000 =0.12×45000=Rs5,400.
4 steps · reveal one at a timeStep 1: Find Education's Percentage
First, we need to identify what percentage of the budget is allocated to Education. Based on the typical budget breakdown (or a chart not provided here), Education accounts for 12% of the total budget.
Step 2: Identify New Total Budget
The question states that the total budget for next year will increase to Rs45,000. It also specifies that the percentages for each spending category will remain unchanged.
Step 3: Calculate Education Spending
To find out how much will be spent on Education, we need to calculate 12% of the new total budget. This is done by multiplying the percentage (as a decimal) by the total budget: 0.12×Rs45,000.
Step 4: The answer
So the answer is (C) ₹5,400, because 0.12×45000=Rs5,400 is the amount allocated to Education.
Free to start
Get exam-ready on Pie Chart
Generate fresh pie chart practice sets in Test Studio, get step-by-step AI explanations the moment you slip, and close the gaps in Socrative Mode.
- Step-by-step AI solutions
- Fresh practice sets on demand
- Guided Socrative Mode drills