Pie Chart Percentage Questions

📑 On this page

⚡ The 20-second answer

Each slice is a share of one fixed total. Amount = share% × total; total = amount ÷ share%. Within one pie, compare percents directly: the total cancels. The trap: slices from two pies can't be compared without both totals.

🎬 The 30-second story

The fest budget fight

“Budget ₹1,20,000: sound 30%, food 25%, prizes 20%, decor 15%, publicity 10%.”

🎪

Meher

Meher, the fest treasurer, made a pie chart.

“Food for 600 students costs ₹36,000. Not a rupee less.”

🍛

Kabir

Kabir runs the canteen.

“Easy. Make food 30%. Nobody touches my DJ.”

🎧

Aarav

Aarav, head of sound, thinks pies can grow.

“Those 5 extra points are ₹6,000. They come out of some other slice.”

🥧

Zoya

Zoya: the total is fixed.

Tara's maths: A pie never grows a slice for free. Every slice is a share of the same ₹1,20,000, and the shares add to 100%. Here 1% = ₹1,200, so food's extra 5 points cost ₹6,000, and Aarav's DJ drops from 30% to 25%.

What does a pie chart actually tell you?

A pie chart answers one question: out of the whole, how much went where? It never says how big the whole is. A tiny pie and a giant pie look identical if the split matches.

🟦 Picture the percent

Meher's fest budget as 100 squares

₹1,20,000

each square = 1% = ₹1,200

Sound 30Food 25Prizes 20Decor 15Publicity 10

Count squares, multiply by one square's value.

📌 Percent and degrees are the same pie

360° is 100%, so 1% = 3.6° and 10% = 36°. Degrees ÷ 3.6 = percent: 90° is 25%, 72° is 20%.

How do you turn a pie slice into rupees, and back?

🧮 The formula

The one formula

🥧

Share of the slice

25% = 0.25

💰

Total of the pie

e.g. ₹1,20,000

🍛

Amount in the slice

₹30,000

Rearranged: total = amount ÷ share; share = amount ÷ total × 100.

Three moves cover every question. Slice to amount: × total. Amount to total: ÷ share. Slice to slice: scale by the ratio of shares: if rent (20%) is ₹12,000, travel (8%) is 12,000 × 8/20 = ₹4,800. No total needed.

Degrees	Percent	Fraction
360°	100%	1
180°	50%	1/2
90°	25%	1/4
72°	20%	1/5
54°	15%	3/20
45°	12.5%	1/8
36°	10%	1/10
18°	5%	1/20

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How do you solve pie chart percentage questions step by step?

✍️ Worked example Warm-up ⏱ 30 sec

Meher's monthly allowance

Meher gets ₹6,000 a month: food 30%, transport 15%, phone 10%, books 20%, fun 15%, savings 10%. How much more goes on food than on her phone?

1
Slow route: food = 30% of 6,000 = ₹1,800; phone = 10% of 6,000 = ₹600.
2
Difference = 1,800 − 600 = ₹1,200.

Answer: ₹1,200

⚡ The exam-hall shortcut

Work in percents: the gap is 20 points, and 1% = ₹60, so ₹1,200. One multiplication, not three.

✍️ Worked example CLAT level ⏱ 50 sec

The society budget in degrees

A society's budget in degrees: workshops 126°, travel 90°, refreshments 72°, merchandise 45°, miscellaneous 27°. Refreshments cost ₹28,800. Find the total and the workshops amount.

1
Check: 126 + 90 + 72 + 45 + 27 = 360°.
2
Refreshments: 72 ÷ 3.6 = 20%, so total = 28,800 ÷ 0.20 = ₹1,44,000.
3
Workshops: 126 ÷ 3.6 = 35%, and 35% of 1,44,000 = ₹50,400.

Answer: Total ₹1,44,000; workshops ₹50,400

⚡ The exam-hall shortcut

Degrees are already a ratio: 126 ÷ 72 = 1.75, so workshops = 28,800 × 1.75 = ₹50,400.

✍️ Worked example CLAT level ⏱ 60 sec

The family budget and the wrong base

Rohan's family income: rent 22%, food 28%, EMI 12%, education 18%, others 8%, savings 12%. Savings = ₹9,600. Find (a) the income, (b) the expenditure, (c) food as a percent of expenditure.

1
(a) Income = 9,600 ÷ 0.12 = ₹80,000.
2
(b) Expenditure = 100 − 12 = 88% of income = ₹70,400.
3
(c) Food = ₹22,400, and 22,400 ÷ 70,400 × 100 = 31.82%. New base, new percent.

Answer: (a) ₹80,000 (b) ₹70,400 (c) about 31.8%

⚡ The exam-hall shortcut

⚠️ % of income or % of spending?

The pie is usually drawn on income. If a question says 'of expenditure' and savings is a slice, the base shrinks to (100 − savings)%. Also check what income contains: in CLAT 2025, Mr Das's income was salary plus a 10% house rent allowance.

✍️ Worked example Tricky ⏱ 45 sec

Two companies, two pies

Company A spends ₹50 lakh, 20% on marketing. Company B spends ₹80 lakh, 15% on marketing. Who spends more on marketing, and by what percent?

1
A = 20% of 50 = ₹10 lakh. B = 15% of 80 = ₹12 lakh.
2
B spends more, by (12 − 10) ÷ 10 × 100 = 20%.

Answer: Company B, by 20%

⚡ The exam-hall shortcut

Two pies, two bases: percents are not comparable. Convert both to rupees.

📊 The data

Smaller slice, bigger spend

Company A: 20% of ₹50 lakh

₹10 lakh

Company B: 15% of ₹80 lakh

₹12 lakh

If the question hid B's total, the honest answer would be cannot be determined.

What is the fastest way to compare slices without calculating rupees?

Inside one pie, the total multiplies every slice equally, so it cancels. 'Is rent plus food more than education plus savings?' is just adding percents. Housing : education = 15 : 12 = 5 : 4, whatever the total.

🧭 Decision flow

Which move does this question need?

❓ Are all the slices from the same pie?

Yes →

❓ Does the answer need an amount (₹, people)?

No →

Compare or add the percents directly. Ratios too.

Yes ↓

❓ Is the total given?

Yes →

Do the percent maths, then × total once.

No →

Use a known slice as the ruler: amount × (wanted % ÷ known %).

No →

❓ Are both totals given?

Yes →

Convert each slice to rupees, then compare.

No →

Cannot be determined. Pick that option with confidence.

🎛️ Try it yourself — change any number

The slice ruler: one known slice gives you all the others

Known slice (%) Its amount (₹) Slice you want (%)

Per unit

560

Answer

12,880

8,400 ÷ 15 × 23 = 12,880

Savings 15% = ₹8,400, so food at 23% = ₹12,880. Set the last box to 100 to get the total (₹56,000).

🎛️ Try it yourself — change any number

Degrees or rupees to a percent share

Slice (degrees or ₹) Whole (360 or total ₹)

As a percent

15%

As a decimal

0.15

54 ÷ 360 × 100 = 15%

54° of 360° is 15%. Try 22,400 of 70,400 for food's share of spending (31.82%).

How does CLAT hide a budget pie inside a paragraph?

CLAT now writes the pie as a sentence: 'he spends 25% on food, 18% on rent…'. Redraw it in ten seconds. In 2025, Mr Das earned ₹9,228 plus a 10% house rent allowance, so income = 9,228 × 1.1 = ₹10,150.80.

🥧 The split

Mr Das's monthly budget (CLAT 2025)

Food25%
Education23%
House rent18%
Medical13%
Savings12%
Entertainment9%

Head	Share	Amount (₹)
Food	25%	2,537.70
Education	23%	2,334.68
House rent	18%	1,827.14
Medical	13%	1,319.60
Savings	12%	1,218.10
Entertainment	9%	913.57
Total	100%	10,150.80

→ scroll to see more

💡 Build the table once

CLAT asked six questions on this paragraph. With the table and 1% ≈ ₹101.51, each is a lookup. Food + entertainment = 34% = ₹3,451.27; the options were ₹3,541, ₹3,461 and ₹3,371, so the answer was None of the above.

What traps hide in budget and pie chart questions?

⚔️ Side by side

One pie vs two pies

🥧Same pie

one total, many slices

•Compare percents directly
•Ratio of amounts = ratio of percents
•Difference in rupees = point gap × 1%

🥧🥧Two pies

two totals

•Percents are not comparable
•Convert each to rupees first
•Total missing? Cannot be determined

Test	Same pie	Two pies
20% vs 15% slice	20% is bigger	Depends on totals

✓Slices that don't add to 100. The CLAT 2021 family budget adds to 105%. Add first.
✓Odd bases. CLAT 2021 called ₹56,000 the 'total amount spent', then asked for savings as 15% of it. Follow the paper's base.
✓% of a slice. '20% of the food budget went on snacks' is 20% of 25% = 5% of the whole.
✓Points vs percent. 30% vs 25%: 5 points, but 20% more.
✓A slice grows, income doesn't. Food (25%) up 10% takes 2.5 points from another slice.

How has CLAT asked budget and pie chart questions?

CLAT 2021 had a family budget and an age-group set; CLAT 2025 had Mr Das's budget.

📝 Asked in CLAT 2021 · Q150 Comparing combined slices

…in the year 2019, he spent 23 per cent of his income on food, 15 per cent on Housing, and 12 per cent on his child's education. For his transport, he spent 10 per cent, and for clothing… 10 per cent… Mr. Abhishek also saved 15 per cent of his income… and the remaining 20 per cent of expenditure he kept as other spendings.

If the total amount spent during the year 2019 was ₹ 56,000, the amount spent on other spendings and clothing together was higher than

AHousing and Child Education

BFood and Transport

CFood and Housing

DHousing and Saving

Reveal answer + reasoning

Answer: A

Same pie, so ₹56,000 is a decoy. Others + clothing = 20 + 10 = 30%. Housing + education = 27%, food + transport = 33%, food + housing = 38%, housing + saving = 30%. Only 27% is lower. Answer A. Time: 25 seconds.

Why the others fail

B — 33% is higher than 30%.
C — 38% is higher still.
D — 30% equals 30%; 'higher than' needs strictly greater.

📝 Asked in CLAT 2021 · Q141 Adding slices, then × total

…30 per cent of the population were children between the age group of 0-15. Next to child population, 17.75 per cent of the population were adolescents between the age group of 16 and 25. The early adult population, i.e., the age groups 26 to 35 were 17.25 per cent… 56 to 65 (5.12%) and 66 above (1.13%)…

Out of every 5,600 persons, what is the number of persons below the age of 26 years?

A2515

B1746

C1660

D2674

Reveal answer + reasoning

Answer: D

Below 26 = the 0–15 and 16–25 slices: 30 + 17.75 = 47.75%. 0.4775 × 5,600 = 2,674. Estimate: just under half of 5,600, and only D is close. Answer D. Time: 30 seconds.

Why the others fail

A — About 44.9% of 5,600; no slice combination gives it.
B — About 31.2%: roughly one slice, not two.
C — About 29.6%, near the children slice alone; forgets 16–25.

📝 Asked in CLAT 2025 · Q117 Comparing budget heads

Mr. Das… total monthly income includes a salary of Rs. 9228/- and a 10% house rent allowance… he spends 25% on food expenses, 18% on paying the house-rent, 9% on entertainment, 23% on the education of his child, 13% on medical expenses, and he saves 12%…

Which of the following is true regarding the home budget of Mr. Das?

AThe total amount spent on house-rent, entertainment and education is greater than the total amount spent on food expenses, medical expenses and savings

BThe total amount spent on entertainment, medical expenses and education is equal to the total amount spent on house-rent, food expenses and savings

CThe total amount spent on savings, medical expenses and education is less than the total amount spent on house-rent, food expenses and entertainment

DNone of the above

Reveal answer + reasoning

Answer: C

Don't compute the income. C: savings + medical + education = 12 + 13 + 23 = 48%; rent + food + entertainment = 18 + 25 + 9 = 52%. 48 is less than 52. Answer C. Time: 40 seconds, mostly reading.

Why the others fail

A — 18 + 9 + 23 = 50% and 25 + 13 + 12 = 50%. Equal, not greater.
B — 9 + 13 + 23 = 45% vs 18 + 25 + 12 = 55%. Not equal.
D — C is true, so 'None' fails.

📝 Asked in CLAT 2025 · Q118 What remains

…His total monthly income includes a salary of Rs. 9228/- and a 10% house rent allowance… Out of his total monthly income, he spends… 18% on paying the house-rent… and he saves 12% of his total monthly income.

How much money remains for other expenses after the house-rent and savings?

ARs. 7061/-

BRs. 7601/-

CRs. 7106/-

DRs. 7016/-

Reveal answer + reasoning

Answer: C

Income = 9,228 × 1.1 = ₹10,150.80. Rent + savings = 30%, so 70% remains: 0.70 × 10,150.80 = ₹7,105.56 ≈ ₹7,106. Answer C. Time: 45 seconds. The options shuffle the same digits, so compute; don't eyeball.

Why the others fail

A — Digit swap of 7,106.
B — Too big: even 75% of income is ₹7,613.
D — Another shuffle. Forgetting the HRA gives ₹6,459.60, not this either.

💥 Myth vs fact

Myth vs fact: pie charts

🙅 Myth

A bigger slice always means more money.

Tap to bust it →

✅ Fact

Only within one pie. A 15% slice of ₹80 lakh beats a 20% slice of ₹50 lakh.

🙅 Myth

Percentages alone give you the total.

Tap to bust it →

✅ Fact

Percents give ratios, never sizes. You need one real figure.

🙅 Myth

A 30% slice is 5% more than a 25% slice.

Tap to bust it →

✅ Fact

It is 5 percentage points more, which is 20% more.

🙅 Myth

Exam slices always add to 100%.

Tap to bust it →

✅ Fact

The CLAT 2021 family budget adds to 105%. Check before trusting 'remaining'.

Can you crack a budget pie in a minute? Try these five

🎯 Quick quiz

Budget and pie chart quiz

0 / 5

Q1. In a pie chart, a slice measures 54°. What percent of the whole is it?

A hostel's mess budget is ₹2,40,000: vegetables 22%, grains 18%.

Q2. How much more is spent on vegetables than on grains?

In a family pie, rent is 24% (₹14,400) and travel is 9%.

Q3. How much is spent on travel?

Town X: budget ₹40 crore, 15% on health. Town Y: 20% on health, budget not given.

Q4. Which town spends more on health in rupees?

A student saves 15% of her income and spends 30% of her income on food.

Q5. Food is roughly what percent of her total spending?

🎯 Pie charts and budgets in a nutshell

A pie shows shares of one total, never the size of the total.
Amount = share × total; total = amount ÷ share; slice B = slice A × B% ÷ A%.
Within one pie, compare and add the percents; multiply by the total once.
100% = 360°; 1% = 3.6°.
Two pies need two totals.
Check the base and that slices add to 100.

📎 Formula card

Slice amount = share% ÷ 100 × total
Total = slice amount ÷ (share% ÷ 100)
Slice to slice: B = A × (B% ÷ A%)
Degrees ↔ percent: % = degrees ÷ 3.6
Gap in rupees = point gap × total ÷ 100
Share of spending = slice% ÷ (100 − savings%) × 100
Ratio of slices = ratio of their percents

Frequently asked questions

How do you calculate a percentage from a pie chart?

Divide the slice by the whole and multiply by 100. With rupees, that is slice ÷ total × 100. With degrees, divide by 3.6, because 360° is 100%, so a 72° slice is 20%. Once you have the percent, the amount is that percent of the total.

How do you find the total from a pie chart if only one value is given?

Divide the known amount by its share. If savings are 12% and equal ₹9,600, the total is 9,600 ÷ 0.12 = ₹80,000. Often you can skip the total: another slice equals the known amount times the ratio of the percents, so a 28% slice is 9,600 × 28/12 = ₹22,400.

Can you compare slices from two different pie charts?

Not by their percents. Each pie has its own total, so a 15% slice of a big pie can beat a 20% slice of a small one. Convert both slices to amounts using their own totals. If either total is missing, the CLAT answer is cannot be determined.

Are pie chart questions asked in CLAT?

Yes, usually as a paragraph rather than a drawn chart. CLAT 2021 had a family budget set and an age-group population set, and CLAT 2025 had Mr Das's home budget with six questions. Turn the paragraph into a quick table of shares and the questions become lookups.

Keep going

← Previous topic

Percentage Points vs Percent: Two Answers, One Change

Why 4% to 6% is 2 points but a 50% jump, and how CLAT tests it

Next topic →

Caselet DI: Turning a CLAT Quant Passage into a Table

Turn a CLAT Quant paragraph into a table, then answer from it

📚

Part of the chapter

Percentages for CLAT Quantitative Techniques

See how this topic fits the whole of Percentages →

Connected topics in other chapters

Percentage Points vs Percent

A 30% slice beats a 25% slice by 5 points, which is 20% more. Know which one the question wants.

Caselet DI: Turning a CLAT Quant Passage into a Table

Budget sets are caselets. Build the table once, then answer every question from it.

Fractions, Decimals and Percents

25% = 1/4, 12.5% = 1/8: the fraction table makes slice maths instant.

Dividing a Quantity in a Given Ratio

A pie is a ratio with 100 parts. Same parts method, different clothes.

Cost, Revenue and Per-Unit Price in Caselets

Expense heads in a company caselet behave exactly like slices of a budget.

Every topic in Percentages

1.Fractions, Decimals and Percents: One Number, Three Outfits
2.Percentage Increase, Decrease and "% More Than"
3.Successive Percentage Change: the a + b + ab/100 Rule
4.Reverse Percentage: Finding the Original Number
5.Population Growth and Depreciation
6.Percentage Points vs Percent: Two Answers, One Change
7.Budgets and Pie Charts: Percentage Share (you're here)
8.Caselet DI: Turning a CLAT Quant Passage into a Table
9.Percentage Shortcuts and Approximation

Budgets and Pie Charts: Percentage Share

What does a pie chart actually tell you?

How do you turn a pie slice into rupees, and back?

How do you solve pie chart percentage questions step by step?

What is the fastest way to compare slices without calculating rupees?

How does CLAT hide a budget pie inside a paragraph?

What traps hide in budget and pie chart questions?

How has CLAT asked budget and pie chart questions?

Can you crack a budget pie in a minute? Try these five

Frequently asked questions

Keep going

Connected topics in other chapters

Every topic in Percentages

Ready to practise?