Hard level Pie Charts DI in UGC NET Paper 1 is designed to test your control over calculations and logic. Questions may involve tricky percentage/ratio comparisons, changes after shifting values, fixed component adjustments, or “overall change” style problems. To crack this level, you need consistent effort, practice daily for 15–20 minutes, and after every set, spend 10 minutes reviewing mistakes because that is where real improvement happens.
Table of Contents
DI Set 1: Graph DI (Quarterly Departmental Expenses (₹12,50,000))
Data:
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pie showData
title Quarterly Departmental Expenses (₹12,50,000)
"Payroll" : 38
"Rent" : 14
"Marketing" : 12
"R&D" : 16
"Utilities" : 8
"Miscellaneous" : 12Questions (MCQ):
Q1: Total expense increases by 8% (same shares), then Marketing is cut by 25% of its new amount and the saved money is added to R&D. What will be the new R&D percentage?
A) 18.0%;
B) 18.5%;
C) 19.0%;
D) 19.5%;
Q2: Payroll and Rent are reduced by 5% each (in ₹). The total saved amount is split equally and added to Utilities and Miscellaneous. What is the new Utilities amount?
A) ₹1,10,250;
B) ₹1,12,500;
C) ₹1,16,250;
D) ₹1,18,750;
Q3: What is the ratio of (R&D + Marketing) spending to (Payroll − Utilities) spending?
A) 13:15;
B) 14:15;
C) 15:14;
D) 7:8;
Q4: Miscellaneous increases by 2 percentage points, and this is taken equally from Rent and Utilities (1 point each). What is the new Rent amount?
A) ₹1,56,250;
B) ₹1,62,500;
C) ₹1,68,750;
D) ₹1,75,000;
Q5: Total expense decreases by 6% to a new total, but Payroll stays fixed at its old ₹ value. All other heads adjust to fit the new total. What will be the new Payroll percentage (approx.)?
A) 39.8%;
B) 40.4%;
C) 41.0%;
D) 41.6%;
Answers and Explanations:
Answer (Q1): C) 19.0%
Explanation: New total = 12,50,000 × 1.08 = ₹13,50,000.
Marketing (new) = 12% of 13,50,000 = ₹1,62,000; cut 25% ⇒ saved ₹40,500.
R&D (new) = 16% of 13,50,000 = ₹2,16,000; add saved ⇒ ₹2,56,500.
New R&D % = (2,56,500 / 13,50,000)×100 = 19.0%.
Answer (Q2): C) ₹1,16,250
Explanation: Payroll = 38% of 12,50,000 = ₹4,75,000; 5% cut = ₹23,750.
Rent = 14% of 12,50,000 = ₹1,75,000; 5% cut = ₹8,750.
Total saved = 23,750 + 8,750 = ₹32,500; half to Utilities = ₹16,250.
Utilities new = 1,00,000 + 16,250 = ₹1,16,250.
Answer (Q3): B) 14:15
Explanation: R&D + Marketing = 2,00,000 + 1,50,000 = ₹3,50,000.
Payroll − Utilities = 4,75,000 − 1,00,000 = ₹3,75,000.
Ratio = 3,50,000 : 3,75,000 = 14 : 15 (divide both by 25,000).
Answer (Q4): B) ₹1,62,500
Explanation: Misc +2 points ⇒ 12% → 14%.
Rent and Utilities lose 1 point each ⇒ Rent 14% → 13%, Utilities 8% → 7%.
New Rent amount = 13% of 12,50,000 = ₹1,62,500.
Answer (Q5): B) 40.4%
Explanation: New total = 12,50,000 × 0.94 = ₹11,75,000.
Payroll fixed = 38% of 12,50,000 = ₹4,75,000.
New Payroll % = (4,75,000 / 11,75,000)×100 ≈ 40.4%.
DI Set 2: Graph DI (Monthly Mobile Data Usage Split (1,800 GB))
Data:
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title Monthly Mobile Data Usage Split (1,800 GB)
"Video" : 34
"Social Media" : 22
"Gaming" : 14
"Browsing" : 12
"Music" : 8
"Others" : 10Questions (MCQ):
Q1: Total usage increases by 15% to a new total. Video share drops by 4 percentage points, and these 4 points are distributed among all non-video categories in the same proportion as before. What will be the new Social Media usage (in GB)?
A) 474 GB;
B) 483 GB;
C) 492 GB;
D) 501 GB;
Q2: 10% of Video usage (in GB) is shifted to Gaming (total unchanged). What will be the new Gaming percentage?
A) 16.8%;
B) 17.4%;
C) 18.0%;
D) 18.6%;
Q3: Social Media usage reduces by 90 GB, and this 90 GB is split equally and added to Browsing and Music (total unchanged). What will be the new Browsing percentage?
A) 14.0%;
B) 14.5%;
C) 15.0%;
D) 15.5%;
Q4: Total usage drops by 10% (shares unchanged). What is the ratio of (Video + Social Media) usage to (Browsing + Music + Others) usage?
A) 56:30;
B) 28:15;
C) 15:28;
D) 14:9;
Q5: Total usage increases by 20% to a new total, but Others becomes fixed at 180 GB. The remaining 5 categories share the remaining data in the same ratio as their original shares (excluding Others). What will be the new Video usage (in GB)?
A) 736 GB;
B) 748 GB;
C) 760 GB;
D) 772 GB;
Answers and Explanations:
Answer (Q1): B) 483 GB
Explanation: New total = 1,800 × 1.15 = 2,070 GB.
Video drops 34% → 30%, so non-video becomes 70% (was 66%).
Scale factor for each non-video share = 70/66. New Social share = 22×(70/66) = 23.333…%.
Social GB = 23.333…% of 2,070 = 483 GB.
Answer (Q2): B) 17.4%
Explanation: Video = 34% of 1,800 = 612 GB; 10% of 612 = 61.2 GB shifted.
Gaming = 14% of 1,800 = 252 GB; new Gaming = 252 + 61.2 = 313.2 GB.
New % = (313.2/1,800)×100 = 17.4%.
Answer (Q3): B) 14.5%
Explanation: Browsing = 12% of 1,800 = 216 GB; Music = 8% of 1,800 = 144 GB.
Social reduces by 90 GB; add 45 GB each to Browsing and Music.
New Browsing = 216 + 45 = 261 GB.
New Browsing % = (261/1,800)×100 = 14.5%.
Answer (Q4): B) 28:15
Explanation: Shares unchanged, so ratio depends only on percentages.
Video + Social = 34% + 22% = 56%.
Browsing + Music + Others = 12% + 8% + 10% = 30%.
Ratio = 56:30 = 28:15.
Answer (Q5): B) 748 GB
Explanation: New total = 1,800 × 1.20 = 2,160 GB; Others fixed = 180 GB.
Remaining = 2,160 − 180 = 1,980 GB for 5 categories.
Original 5-category shares sum = 34+22+14+12+8 = 90. Video fraction = 34/90.
New Video = 1,980×(34/90) = 748 GB.
DI Set 3: Graph DI (Tourist Spending Split (₹18 Crore))
Data:
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title Tourist Spending Split (₹18 Crore)
"Accommodation" : 36
"Food" : 20
"Travel" : 18
"Shopping" : 12
"Entertainment" : 8
"Local Transport" : 6Questions (MCQ):
Q1: Total spending rises by 5% to a new total. Accommodation share drops by 3 percentage points, and those 3 points are fully added to Shopping. What will be the new Shopping amount (₹ crore)?
A) ₹2.79 crore;
B) ₹2.82 crore;
C) ₹2.835 crore;
D) ₹2.88 crore;
Q2: Entertainment spending increases by 25% (in ₹), and this extra amount is taken equally from Food and Travel (total unchanged). What will be the new Food percentage?
A) 18.5%;
B) 19.0%;
C) 19.5%;
D) 20.0%;
Q3: What is the ratio of (Accommodation + Food) spending to (Travel + Local Transport) spending?
A) 7:3;
B) 3:7;
C) 14:9;
D) 9:14;
Q4: ₹0.90 crore is moved from Shopping to Local Transport (total unchanged). What will be the new Local Transport percentage?
A) 10.5%;
B) 11.0%;
C) 11.5%;
D) 12.0%;
Q5: Total spending drops by 10% to ₹16.2 crore, but Accommodation stays fixed at its old ₹ value. All other heads adjust to fit the new total. What will be the new Accommodation percentage?
A) 39%;
B) 40%;
C) 41%;
D) 42%;
Answers and Explanations:
Answer (Q1): C) ₹2.835 crore
Explanation: New total = 18 × 1.05 = ₹18.9 crore.
Shopping share becomes 12% + 3% = 15%.
New Shopping = 15% of 18.9 = 0.15×18.9 = ₹2.835 crore.
Answer (Q2): B) 19.0%
Explanation: Entertainment = 8% of 18 = ₹1.44 crore; +25% ⇒ +₹0.36 crore.
This ₹0.36 is taken equally: Food −₹0.18, Travel −₹0.18.
Food becomes 3.60 − 0.18 = ₹3.42 crore.
Food % = (3.42/18)×100 = 19.0%.
Answer (Q3): A) 7:3
Explanation: Accommodation + Food = 36% + 20% = 56%.
Travel + Local Transport = 18% + 6% = 24%.
Ratio = 56:24 = 7:3 (divide by 8).
Answer (Q4): B) 11.0%
Explanation: Local Transport = 6% of 18 = ₹1.08 crore.
Add ₹0.90 crore ⇒ new Local Transport = 1.08 + 0.90 = ₹1.98 crore.
New % = (1.98/18)×100 = 11.0%.
Answer (Q5): B) 40%
Explanation: New total = 18 × 0.90 = ₹16.2 crore.
Accommodation fixed at old value = 36% of 18 = ₹6.48 crore.
New Accommodation % = (6.48/16.2)×100 = 40%.
DI Set 4: Graph DI (University Fund Allocation (₹50 Lakh))
Data:
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title University Fund Allocation (₹50 Lakh)
"Scholarships" : 22
"Infrastructure" : 28
"Research" : 18
"Events" : 10
"Digital" : 12
"Admin" : 10Questions (MCQ):
Q1: Infrastructure receives an extra ₹5 lakh taken equally from Admin and Events (total unchanged). What will be the new Infrastructure percentage?
A) 36%;
B) 38%;
C) 40%;
D) 42%;
Q2: Total fund increases by 20% to ₹60 lakh, but Scholarships stay fixed at ₹11 lakh. The remaining amount is distributed among other heads in the same ratio as their original shares (excluding Scholarships). What will be the new Research amount (approx.)?
A) ₹11.0 lakh;
B) ₹11.3 lakh;
C) ₹11.5 lakh;
D) ₹11.8 lakh;
Q3: Research is cut by 15% (in ₹) and Digital is increased by 25% (in ₹). To keep the total ₹50 lakh unchanged, only Infrastructure is adjusted. What will be the new Infrastructure amount?
A) ₹13.70 lakh;
B) ₹13.85 lakh;
C) ₹14.00 lakh;
D) ₹14.15 lakh;
Q4: Scholarships increase by 3 percentage points. This 3 points is taken from Research and Digital in the ratio 2:1 (in percentage points). What will be the new Research percentage?
A) 15%;
B) 16%;
C) 17%;
D) 18%;
Q5: Total fund decreases by 8% to ₹46 lakh. All heads except Infrastructure decrease by 10% in ₹ amount, and Infrastructure adjusts to match the new total. What will be the new Infrastructure amount?
A) ₹13.2 lakh;
B) ₹13.6 lakh;
C) ₹14.0 lakh;
D) ₹14.4 lakh;
Answers and Explanations:
Answer (Q1): B) 38%
Explanation: Infrastructure = 28% of 50 = ₹14 lakh.
Extra to Infra = ₹5 lakh ⇒ new Infra = 14 + 5 = ₹19 lakh.
New % = (19/50)×100 = 38%.
Answer (Q2): B) ₹11.3 lakh
Explanation: Scholarships fixed = ₹11 lakh, so remaining = 60 − 11 = ₹49 lakh.
Original non-scholarship shares sum = 28+18+10+12+10 = 78.
Research fraction among non-scholarship = 18/78 = 3/13.
New Research ≈ 49×(3/13) ≈ ₹11.3 lakh.
Answer (Q3): B) ₹13.85 lakh
Explanation: Research = 18% of 50 = ₹9.0; cut 15% ⇒ −₹1.35 ⇒ ₹7.65.
Digital = 12% of 50 = ₹6.0; increase 25% ⇒ +₹1.50 ⇒ ₹7.50.
Net change = −1.35 + 1.50 = +₹0.15 (total would increase).
So Infrastructure must reduce by ₹0.15 from ₹14.00 ⇒ ₹13.85 lakh.
Answer (Q4): B) 16%
Explanation: Scholarships +3 points.
Research and Digital lose 3 points in ratio 2:1 ⇒ Research −2, Digital −1.
Research: 18% → 16%.
Answer (Q5): B) ₹13.6 lakh
Explanation: New total = 50 × 0.92 = ₹46 lakh.
All except Infrastructure drop by 10% in ₹: (50 − 14) = ₹36 lakh becomes ₹32.4 lakh.
So Infrastructure = 46 − 32.4 = ₹13.6 lakh.
DI Set 5: Graph DI (Retail Store Revenue Split (₹2.4 Crore))
Data:
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title Retail Store Revenue Split (₹2.4 Crore)
"Electronics" : 30
"Clothing" : 22
"Grocery" : 18
"Home & Kitchen" : 12
"Beauty" : 8
"Others" : 10Questions (MCQ):
Q1: Total revenue increases by 12.5% to a new total. Electronics share decreases by 5 percentage points, and these 5 points are split equally between Clothing and Grocery. What will be the new Clothing revenue (in ₹ lakh)?
A) ₹65.40 lakh;
B) ₹66.15 lakh;
C) ₹66.90 lakh;
D) ₹67.50 lakh;
Q2: Grocery revenue increases by 20% (in ₹), and this entire increase is taken from Electronics revenue (total unchanged). What will be the new Electronics percentage?
A) 25.8%;
B) 26.4%;
C) 27.0%;
D) 27.6%;
Q3: Others revenue is capped at ₹18 lakh and the excess is added to Home & Kitchen (total unchanged). What will be the new Home & Kitchen percentage?
A) 14.0%;
B) 14.5%;
C) 15.0%;
D) 15.5%;
Q4: Total revenue drops by 10% (shares unchanged). What is the ratio of (Electronics + Clothing) revenue to (Beauty + Others) revenue?
A) 52:18;
B) 26:9;
C) 13:9;
D) 9:13;
Q5: A new category “Sports” is introduced at 6% of total revenue by reducing all existing categories proportionally (keeping their internal ratios same). What will be the new Electronics percentage?
A) 27.6%;
B) 28.2%;
C) 28.8%;
D) 29.4%;
Answers and Explanations:
Answer (Q1): B) ₹66.15 lakh
Explanation: New total = 2.4×1.125 = ₹2.7 crore = ₹270 lakh.
Clothing new share = 22% + 2.5% = 24.5%.
New Clothing revenue = 24.5% of 270 = 0.245×270 = ₹66.15 lakh.
Answer (Q2): B) 26.4%
Explanation: Grocery = 18% of 240 lakh = ₹43.2 lakh; +20% ⇒ +₹8.64 lakh.
This ₹8.64 lakh is taken from Electronics: Electronics = 30% of 240 = ₹72.0 lakh → ₹63.36 lakh.
New Electronics % = (63.36/240)×100 = 26.4%.
Answer (Q3): B) 14.5%
Explanation: Others = 10% of 240 = ₹24 lakh; cap to ₹18 lakh ⇒ excess ₹6 lakh.
Home & Kitchen = 12% of 240 = ₹28.8 lakh; new = 28.8 + 6 = ₹34.8 lakh.
New % = (34.8/240)×100 = 14.5%.
Answer (Q4): B) 26:9
Explanation: Shares unchanged, so ratio depends only on percentages.
Electronics + Clothing = 30% + 22% = 52%.
Beauty + Others = 8% + 10% = 18%.
Ratio = 52:18 = 26:9.
Answer (Q5): B) 28.2%
Explanation: New Sports = 6%, so remaining for old categories = 94%.
All old shares scale by 94/100.
Electronics new % = 30×(94/100) = 28.2%.
DI Set 6: Graph DI (Annual Family Investment Portfolio – ₹15,00,000)
Data:
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pie showData
title Annual Family Investment Portfolio - ₹15,00,000
"Equity" : 32
"Mutual Funds" : 24
"Fixed Deposits" : 18
"Gold" : 10
"Real Estate" : 12
"Cash" : 4Questions (MCQ):
Q1: Portfolio grows by 12%, but Cash stays fixed at ₹60,000. The remaining amount is distributed among other heads in the same ratio as before (excluding Cash). What will be the new Equity amount?
A) ₹5,30,000;
B) ₹5,40,000;
C) ₹5,50,000;
D) ₹5,60,000;
Q2: Fixed Deposits decrease by 20% (in ₹), and the reduced amount is added to Gold (total unchanged). What will be the new Gold percentage?
A) 13.2%;
B) 13.6%;
C) 14.0%;
D) 14.4%;
Q3: Equity share decreases by 3 percentage points, and these 3 points are split between Mutual Funds and Real Estate in the ratio 2:1 (in percentage points). What will be the new Real Estate amount?
A) ₹1,90,000;
B) ₹1,95,000;
C) ₹2,00,000;
D) ₹2,05,000;
Q4: Cash and Gold are merged into a single head “Liquid” (₹ values added). What will be the Liquid percentage of the portfolio?
A) 13.5%;
B) 14.0%;
C) 14.5%;
D) 15.0%;
Q5: 25% of Real Estate (in ₹) is sold and that amount is invested fully into Equity (total unchanged). What will be the new Equity percentage?
A) 34.2%;
B) 34.8%;
C) 35.0%;
D) 35.6%;
Answers and Explanations:
Answer (Q1): B) ₹5,40,000
Explanation: New total = 15,00,000 × 1.12 = ₹16,80,000.
Cash fixed = ₹60,000 ⇒ Remaining = 16,80,000 − 60,000 = ₹16,20,000.
Excluding Cash, shares sum = 96%, so Equity fraction = 32/96 = 1/3.
New Equity = (1/3)×16,20,000 = ₹5,40,000.
Answer (Q2): B) 13.6%
Explanation: FD = 18% of 15,00,000 = ₹2,70,000; 20% cut = ₹54,000.
Gold new = 1,50,000 + 54,000 = ₹2,04,000.
New Gold % = (2,04,000/15,00,000)×100 = 13.6%.
Answer (Q3): B) ₹1,95,000
Explanation: Equity 32% → 29% (−3 points).
3 points split as 2:1 ⇒ MF +2 (24→26), Real Estate +1 (12→13).
New Real Estate = 13% of 15,00,000 = ₹1,95,000.
Answer (Q4): B) 14.0%
Explanation: Cash = 4% of 15,00,000 = ₹60,000.
Gold = 10% of 15,00,000 = ₹1,50,000.
Liquid = 60,000 + 1,50,000 = ₹2,10,000.
Liquid % = (2,10,000/15,00,000)×100 = 14.0%.
Answer (Q5): C) 35.0%
Explanation: Real Estate = 12% of 15,00,000 = ₹1,80,000; 25% sold = ₹45,000.
Equity new = 4,80,000 + 45,000 = ₹5,25,000.
New Equity % = (5,25,000/15,00,000)×100 = 35.0%.
DI Set 7: Graph DI (Monthly Company Revenue by Channel – ₹3.6 Crore)
Data:
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title Monthly Company Revenue by Channel - ₹3.6 Crore
"Retail" : 28
"Wholesale" : 22
"Online" : 26
"Subscriptions" : 12
"Ads" : 7
"Others" : 5Questions (MCQ):
Q1: Total revenue increases by 10% to a new total, but Ads becomes fixed at ₹30 lakh. The remaining revenue is distributed among other channels in the same ratio as before (excluding Ads). What will be the new Online revenue (approx.)?
A) ₹101.8 lakh;
B) ₹102.3 lakh;
C) ₹102.9 lakh;
D) ₹103.4 lakh;
Q2: Subscriptions increase by 25% (in ₹), and this extra amount is taken equally from Retail and Wholesale (total unchanged). What will be the new Retail percentage?
A) 26.0%;
B) 26.5%;
C) 27.0%;
D) 27.5%;
Q3: Online share drops by 4 percentage points, and those 4 points are added fully to Others (total unchanged). What will be the new Others revenue?
A) ₹31.2 lakh;
B) ₹32.4 lakh;
C) ₹33.6 lakh;
D) ₹34.8 lakh;
Q4: 15% of (Retail + Wholesale) combined revenue is shifted to Online (total unchanged). What will be the new Online revenue?
A) ₹118.8 lakh;
B) ₹119.8 lakh;
C) ₹120.6 lakh;
D) ₹121.5 lakh;
Q5: Total revenue drops by 8% to a new total, but Retail stays fixed at its old ₹ value. All other channels adjust proportionally to fit the remaining amount. What will be the new Retail percentage (approx.)?
A) 29.8%;
B) 30.4%;
C) 31.0%;
D) 31.6%;
Answers and Explanations:
Answer (Q1): B) ₹102.3 lakh
Explanation: Total = ₹3.6 crore = ₹360 lakh; new total = 360×1.10 = ₹396 lakh.
Ads fixed = ₹30 lakh ⇒ Remaining = 396 − 30 = ₹366 lakh.
Excluding Ads, shares sum = 93; Online fraction = 26/93.
Online new = 366×(26/93) ≈ ₹102.3 lakh.
Answer (Q2): B) 26.5%
Explanation: Subscriptions = 12% of 360 = ₹43.2 lakh; +25% ⇒ +₹10.8 lakh.
₹10.8 split equally ⇒ Retail −₹5.4 and Wholesale −₹5.4.
Retail new = 100.8 − 5.4 = ₹95.4 lakh.
Retail % = (95.4/360)×100 = 26.5%.
Answer (Q3): B) ₹32.4 lakh
Explanation: Online 26% → 22%, Others 5% → 9%.
Others new = 9% of 360 = ₹32.4 lakh.
Answer (Q4): C) ₹120.6 lakh
Explanation: Retail + Wholesale = 28%+22% = 50% of 360 = ₹180 lakh.
15% of 180 = ₹27 lakh shifted to Online.
Online old = 26% of 360 = ₹93.6 lakh.
Online new = 93.6 + 27 = ₹120.6 lakh.
Answer (Q5): B) 30.4%
Explanation: New total = 360×0.92 = ₹331.2 lakh.
Retail fixed = 28% of 360 = ₹100.8 lakh.
New Retail % = (100.8/331.2)×100 ≈ 30.4%.
DI Set 8: Graph DI (State Budget Allocation – ₹2,000 Crore)
Data:
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title State Budget Allocation - ₹2,000 Crore
"Education" : 24
"Health" : 18
"Infrastructure" : 20
"Agriculture" : 14
"Social Welfare" : 12
"Administration" : 12Questions (MCQ):
Q1: Total budget increases by 5% to a new total, but Administration is capped at ₹230 crore. The remaining budget is distributed among other sectors in the same ratio as before (excluding Administration). What will be the new Infrastructure amount?
A) ₹420 crore;
B) ₹425 crore;
C) ₹430 crore;
D) ₹435 crore;
Q2: Education is reduced by 10% (in ₹). The reduced amount is split: 60% added to Health and 40% added to Agriculture (total unchanged). What will be the new Health percentage (approx.)?
A) 19.2%;
B) 19.4%;
C) 19.6%;
D) 19.8%;
Q3: Infrastructure and Social Welfare increase by 2 percentage points each, and this total 4 points is taken entirely from Education (total unchanged). What will be the new Education amount?
A) ₹390 crore;
B) ₹400 crore;
C) ₹410 crore;
D) ₹420 crore;
Q4: A special grant of ₹100 crore is added to the total budget, but only to Agriculture. What will be the new Agriculture percentage (approx.)?
A) 17.6%;
B) 18.1%;
C) 18.6%;
D) 19.0%;
Q5: Total budget decreases by 7% to a new total, but Education and Health stay fixed at their old ₹ values. The remaining amount is distributed among the other 4 sectors in the same ratio as before (excluding Education and Health). What will be the new Infrastructure amount (approx.)?
A) ₹348.0 crore;
B) ₹351.7 crore;
C) ₹355.4 crore;
D) ₹359.1 crore;
Answers and Explanations:
Answer (Q1): B) ₹425 crore
Explanation: New total = 2,000×1.05 = ₹2,100 crore.
Admin capped = ₹230 ⇒ remaining = 2,100 − 230 = ₹1,870 crore.
Excluding Admin, shares sum = 88; Infra fraction = 20/88 = 5/22.
New Infra = 1,870×(5/22) = ₹425 crore.
Answer (Q2): B) 19.4%
Explanation: Education = 24% of 2,000 = ₹480; 10% cut = ₹48.
60% of 48 = ₹28.8 added to Health ⇒ Health new = 360 + 28.8 = ₹388.8.
Health % = (388.8/2,000)×100 = 19.44% ≈ 19.4%.
Answer (Q3): B) ₹400 crore
Explanation: Education 24% → 20% (−4 points).
So New Education = 20% of 2,000 = ₹400 crore.
Answer (Q4): B) 18.1%
Explanation: New total = 2,000 + 100 = ₹2,100 crore.
Agriculture new = 280 + 100 = ₹380 crore.
New Agri % = (380/2,100)×100 ≈ 18.1%.
Answer (Q5): B) ₹351.7 crore
Explanation: New total = 2,000×0.93 = ₹1,860 crore.
Education + Health fixed = 480 + 360 = ₹840 crore ⇒ remaining = 1,860 − 840 = ₹1,020 crore.
Other-4 original sum = 400+280+240+240 = 1,160; Infra fraction = 400/1,160 = 10/29.
New Infra = 1,020×(10/29) ≈ ₹351.7 crore.
DI Set 9: Graph DI (Daily Study Time Split – 10 Hours)
Data:
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title Daily Study Time Split - 10 Hours
"Concept Reading" : 22
"Problem Practice" : 34
"Revision Notes" : 18
"Mock Tests" : 16
"Breaks" : 10Questions (MCQ):
Q1: Total study time becomes 12 hours, but Breaks stay fixed at 1 hour. The remaining time is distributed among other activities in the same ratio as before (excluding Breaks). What will be the new Problem Practice time (approx.)?
A) 4.00 hours;
B) 4.10 hours;
C) 4.16 hours;
D) 4.25 hours;
Q2: 30 minutes are shifted from Problem Practice to Mock Tests, and 15 minutes are shifted from Concept Reading to Revision Notes (total unchanged). What will be the new Mock Tests percentage?
A) 20.0%;
B) 20.5%;
C) 21.0%;
D) 21.5%;
Q3: Revision Notes increase by 25% (in hours), and the extra time is taken only from Breaks (total unchanged). What will be the new Breaks time (in minutes)?
A) 30 minutes;
B) 33 minutes;
C) 36 minutes;
D) 39 minutes;
Q4: Total time decreases by 10% to 9 hours, but Mock Tests stay fixed at 1.6 hours. Other activities reduce proportionally to fit the remaining time. What will be the new Problem Practice time (approx.)?
A) 2.90 hours;
B) 2.95 hours;
C) 3.00 hours;
D) 3.05 hours;
Q5: Concept Reading share decreases by 3 percentage points, and these 3 points are distributed to Problem Practice and Revision Notes in the ratio 2:1 (in percentage points). What will be the new (Problem Practice + Revision Notes) time?
A) 5.3 hours;
B) 5.4 hours;
C) 5.5 hours;
D) 5.6 hours;
Answers and Explanations:
Answer (Q1): C) 4.16 hours
Explanation: New total = 12 hours; Breaks fixed = 1 hour ⇒ remaining = 11 hours.
Excluding Breaks, shares sum = 90; Practice fraction = 34/90 = 17/45.
New Practice = 11×(17/45) ≈ 4.16 hours.
Answer (Q2): C) 21.0%
Explanation: Mock Tests old = 16% of 10 = 1.6 hours.
Add 0.5 hour from Practice ⇒ Mock Tests new = 2.1 hours.
New % = (2.1/10)×100 = 21.0%.
Answer (Q3): B) 33 minutes
Explanation: Revision old = 18% of 10 = 1.8 hours; 25% increase = 0.45 hour = 27 minutes.
This 27 minutes is taken from Breaks (60 minutes).
New Breaks = 60 − 27 = 33 minutes.
Answer (Q4): C) 3.00 hours
Explanation: New total = 9 hours; Mock fixed = 1.6 ⇒ remaining = 7.4 hours.
Original (excluding Mock) total hours = 10 − 1.6 = 8.4 hours; Practice fraction = 3.4/8.4 = 17/42.
New Practice = 7.4×(17/42) ≈ 3.00 hours.
Answer (Q5): C) 5.5 hours
Explanation: Reading 22% → 19% (−3 points).
3 points split 2:1 ⇒ Practice 34→36, Revision 18→19.
Practice + Revision = 36% + 19% = 55% of 10 hours = 5.5 hours.
DI Set 10: Graph DI (Airport Passengers by Region – 80,000)
Data:
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title Airport Passengers by Region - 80,000
"Domestic" : 55
"Middle East" : 15
"Europe" : 12
"Asia-Pacific" : 10
"Americas" : 6
"Africa" : 2Questions (MCQ):
Q1: Total passengers increase by 25% to 1,00,000, but Africa stays fixed at 1,600 passengers. The remaining passengers are distributed among other regions in the same ratio as before (excluding Africa). What will be the new Europe passengers (approx.)?
A) 11,900;
B) 12,050;
C) 12,200;
D) 12,350;
Q2: Domestic decreases by 5 percentage points, and these 5 points are added to Asia-Pacific and Americas in the ratio 3:2 (in percentage points). What will be the new Americas passengers?
A) 6,200;
B) 6,400;
C) 6,600;
D) 6,800;
Q3: 10% of Middle East passengers shift to Europe (total unchanged). What will be the new Europe percentage?
A) 13.0%;
B) 13.5%;
C) 14.0%;
D) 14.5%;
Q4: Total passengers drop by 12.5% to 70,000, but Domestic stays fixed at 44,000. The remaining passengers are distributed among all international regions in the same ratio as before (excluding Domestic). What will be the new Middle East passengers (approx.)?
A) 8,500;
B) 8,667;
C) 8,800;
D) 9,000;
Q5: Americas is capped at 4,000 passengers, and the excess passengers are transferred entirely to Domestic (total unchanged). What will be the new Domestic percentage?
A) 55.5%;
B) 56.0%;
C) 56.5%;
D) 57.0%;
Answers and Explanations:
Answer (Q1): B) 12,050
Explanation: New total = 80,000×1.25 = 1,00,000; Africa fixed = 1,600 ⇒ remaining = 98,400.
Excluding Africa, shares sum = 98; Europe fraction = 12/98 = 6/49.
New Europe = 98,400×(6/49) ≈ 12,049 ≈ 12,050.
Answer (Q2): B) 6,400
Explanation: Domestic 55% → 50% (−5 points).
5 points split 3:2 ⇒ Asia-Pacific 10→13, Americas 6→8.
Americas new = 8% of 80,000 = 6,400.
Answer (Q3): B) 13.5%
Explanation: Middle East = 15% of 80,000 = 12,000; 10% shift = 1,200.
Europe new = 9,600 + 1,200 = 10,800.
New Europe % = (10,800/80,000)×100 = 13.5%.
Answer (Q4): B) 8,667
Explanation: New total = 80,000×0.875 = 70,000; Domestic fixed = 44,000 ⇒ remaining = 26,000.
Original international total = 80,000 − 44,000 = 36,000; Middle East fraction = 12,000/36,000 = 1/3.
New Middle East = (1/3)×26,000 ≈ 8,666.7 ≈ 8,667.
Answer (Q5): B) 56.0%
Explanation: Americas old = 4,800; capped at 4,000 ⇒ excess = 800 moved to Domestic.
Domestic new = 44,000 + 800 = 44,800.
New Domestic % = (44,800/80,000)×100 = 56.0%.
DI Set 11: Graph DI (Startup Monthly Operating Cost Split (₹9,00,000))
Data:
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title Startup Monthly Operating Cost Split (₹9,00,000)
"Salaries" : 42
"Cloud" : 16
"Marketing" : 14
"Office" : 10
"Tools" : 8
"Legal & Compliance" : 10Questions (MCQ):
Q1: Total cost increases by 12%. Marketing share decreases by 3 percentage points, and these 3 points are added to Cloud and Tools in the ratio 2:1 (in percentage points). What will be the new Cloud cost?
A) ₹1,79,520;
B) ₹1,81,440;
C) ₹1,83,360;
D) ₹1,85,280;
Q2: Total cost decreases by 8%, but Office stays fixed at its old ₹ value. All other heads share the remaining amount in the same ratio as before (excluding Office). What will be the new Salaries percentage (approx.)?
A) 41.4%;
B) 41.6%;
C) 41.8%;
D) 42.0%;
Q3: Legal & Compliance decreases by 20% (in ₹). The saved amount is split: 60% added to Tools and 40% added to Cloud (total unchanged). What is the new ratio of Tools cost to Cloud cost?
A) 23:42;
B) 42:23;
C) 46:84;
D) 21:38;
Q4: 10% of Salaries cost is moved to Marketing. Then Marketing gets an extra ₹12,000 taken equally from Cloud and Office (₹6,000 each). Total cost stays the same. What will be the new Marketing percentage (approx.)?
A) 19.3%;
B) 19.5%;
C) 19.7%;
D) 20.0%;
Q5: Total cost increases by 15%, but Salaries and Office stay fixed at their original ₹ values. The remaining amount is distributed among Cloud, Marketing, Tools, and Legal in the same ratio as their original shares (16:14:8:10). What will be the new Tools cost?
A) ₹93,000;
B) ₹94,500;
C) ₹96,000;
D) ₹97,500;
Answers and Explanations:
Answer (Q1): B) ₹1,81,440
Explanation: New total = 9,00,000 × 1.12 = ₹10,08,000.
Marketing 14% → 11%, so 3 points go: Cloud +2 (16→18), Tools +1 (8→9).
Cloud cost = 18% of 10,08,000 = ₹1,81,440.
Answer (Q2): B) 41.6%
Explanation: New total = 9,00,000 × 0.92 = ₹8,28,000.
Office fixed = ₹90,000 ⇒ remaining = 8,28,000 − 90,000 = ₹7,38,000.
Salaries share among remaining heads = 42/90, so Salaries = 7,38,000×(42/90)=₹3,44,400.
New Salaries % = (3,44,400/8,28,000)×100 ≈ 41.6%.
Answer (Q3): A) 23:42
Explanation: Legal = ₹90,000; 20% cut = ₹18,000 saved.
Tools new = 72,000 + 10,800 = ₹82,800; Cloud new = 1,44,000 + 7,200 = ₹1,51,200.
Ratio = 82,800:1,51,200 = 23:42.
Answer (Q4): B) 19.5%
Explanation: Salaries = ₹3,78,000; 10% moved = ₹37,800.
Marketing becomes 1,26,000 + 37,800 + 12,000 = ₹1,75,800.
New Marketing % = (1,75,800/9,00,000)×100 ≈ 19.5%.
Answer (Q5): B) ₹94,500
Explanation: New total = 9,00,000 × 1.15 = ₹10,35,000.
Fixed Salaries + Office = 3,78,000 + 90,000 = ₹4,68,000 ⇒ remaining = ₹5,67,000.
Tools fraction in (16:14:8:10) = 8/48 = 1/6.
New Tools = 5,67,000 ÷ 6 = ₹94,500.
DI Set 12: Graph DI (City Water Supply Budget Split (₹50 Crore))
Data:
| Head | Share (%) |
|---|---|
| Treatment | 28 |
| Pipeline Maintenance | 22 |
| Staff | 18 |
| Power | 12 |
| Monitoring | 8 |
| Contingency | 12 |
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title City Water Supply Budget Split (₹50 Crore)
"Treatment" : 28
"Pipeline Maintenance" : 22
"Staff" : 18
"Power" : 12
"Monitoring" : 8
"Contingency" : 12Questions (MCQ):
Q1: Total budget increases by 10%. Treatment share drops by 2 percentage points, and these 2 points are added fully to Monitoring. What will be the new Monitoring amount?
A) ₹5.0 crore;
B) ₹5.5 crore;
C) ₹6.0 crore;
D) ₹6.5 crore;
Q2: Pipeline Maintenance increases by 30% (in ₹). To keep total budget unchanged, Contingency is reduced first but cannot go below ₹3 crore. Any remaining reduction is taken from Power. What will be the new Power percentage?
A) 11.2%;
B) 11.4%;
C) 11.6%;
D) 11.8%;
Q3: Staff decreases by 8% (in ₹). The saved amount is split equally and added to Treatment and Pipeline Maintenance (total unchanged). What will be the new Treatment amount?
A) ₹14.24 crore;
B) ₹14.36 crore;
C) ₹14.48 crore;
D) ₹14.60 crore;
Q4: 1 percentage point is taken from each of Treatment, Pipeline Maintenance, and Staff, and all 3 points are added to Monitoring (total unchanged). What is the new ratio of Monitoring amount to Power amount?
A) 11:12;
B) 12:11;
C) 5:6;
D) 6:5;
Q5: Total budget decreases by 12% to a new total, but Power stays fixed at its old ₹ value. The remaining budget is distributed among the other heads in the same ratio as before (excluding Power). What will be the new Pipeline Maintenance amount?
A) ₹9.0 crore;
B) ₹9.5 crore;
C) ₹10.0 crore;
D) ₹10.5 crore;
Answers and Explanations:
Answer (Q1): B) ₹5.5 crore
Explanation: New total = 50 × 1.10 = ₹55 crore.
Monitoring becomes 8% + 2% = 10%.
New Monitoring = 10% of 55 = ₹5.5 crore.
Answer (Q2): B) 11.4%
Explanation: Pipeline = 22% of 50 = ₹11 crore; +30% ⇒ +₹3.3 crore.
Contingency can drop from ₹6 to ₹3 ⇒ max drop ₹3; remaining drop = ₹0.3 from Power.
Power becomes 6.0 − 0.3 = ₹5.7 crore.
New Power % = (5.7/50)×100 = 11.4%.
Answer (Q3): B) ₹14.36 crore
Explanation: Staff = 18% of 50 = ₹9 crore; 8% cut = ₹0.72 crore saved.
Half to Treatment = +₹0.36 crore.
Treatment new = 14.00 + 0.36 = ₹14.36 crore.
Answer (Q4): A) 11:12
Explanation: Monitoring becomes 8% + 3% = 11% ⇒ ₹5.5 crore.
Power stays 12% ⇒ ₹6.0 crore.
Ratio = 5.5:6 = 55:60 = 11:12.
Answer (Q5): B) ₹9.5 crore
Explanation: New total = 50 × 0.88 = ₹44 crore.
Power fixed = ₹6 crore ⇒ remaining = 44 − 6 = ₹38 crore.
Excluding Power, ratio sum = 28+22+18+8+12 = 88; Pipeline fraction = 22/88 = 1/4.
New Pipeline = 38×(1/4) = ₹9.5 crore.
DI Set 13: Graph DI (E-commerce Orders Split (1,20,000 Orders))
Data:
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title E-commerce Orders Split (1,20,000 Orders)
"Fashion" : 30
"Electronics" : 25
"Home & Kitchen" : 15
"Beauty" : 10
"Grocery" : 12
"Others" : 8Questions (MCQ):
Q1: Total orders increase by 20% to a new total. Others is capped at 10,000 orders, and the remaining orders are distributed among the other categories in the same ratio as before (excluding Others). What will be the new Electronics orders (approx.)?
A) 36,250;
B) 36,400;
C) 36,450;
D) 36,600;
Q2: 10% of Fashion orders are returned and redistributed as: 50% to Electronics, 30% to Home & Kitchen, and 20% to Beauty (total unchanged). What will be the new Electronics percentage?
A) 26.0%;
B) 26.5%;
C) 27.0%;
D) 27.5%;
Q3: Grocery orders increase by 25% (in count) and the extra orders are taken equally from Home & Kitchen and Others (total unchanged). What will be the new Home & Kitchen orders?
A) 15,600;
B) 16,200;
C) 16,800;
D) 17,400;
Q4: Total orders drop by 15% to 1,02,000, but Electronics stays fixed at 30,000 orders. The remaining orders are distributed among the other categories in the same ratio as before (excluding Electronics). What will be the new Grocery orders?
A) 11,200;
B) 11,520;
C) 11,840;
D) 12,000;
Q5: A new category “Toys” is added as 5% of total orders by reducing all existing categories proportionally (keeping their internal ratios the same). What will be the new Fashion percentage?
A) 28.0%;
B) 28.5%;
C) 29.0%;
D) 29.5%;
Answers and Explanations:
Answer (Q1): B) 36,400
Explanation: New total = 1,20,000 × 1.20 = 1,44,000.
Others fixed = 10,000 ⇒ remaining = 1,34,000 for 5 categories (sum share = 92).
Electronics fraction = 25/92.
New Electronics = 1,34,000×(25/92) ≈ 36,413 ≈ 36,400.
Answer (Q2): B) 26.5%
Explanation: Fashion = 30% of 1,20,000 = 36,000; 10% returned = 3,600.
Electronics gets 50% of 3,600 = 1,800 ⇒ new Electronics = 30,000 + 1,800 = 31,800.
New Electronics % = (31,800/1,20,000)×100 = 26.5%.
Answer (Q3): B) 16,200
Explanation: Grocery = 14,400; +25% ⇒ +3,600 ⇒ new Grocery = 18,000.
This +3,600 is taken equally: Home −1,800 and Others −1,800.
Home new = 18,000 − 1,800 = 16,200.
Answer (Q4): B) 11,520
Explanation: New total = 1,02,000; Electronics fixed = 30,000 ⇒ remaining = 72,000.
Excluding Electronics, share sum = 75; Grocery fraction = 12/75 = 0.16.
New Grocery = 72,000×0.16 = 11,520.
Answer (Q5): B) 28.5%
Explanation: New Toys = 5%, so old categories together become 95%.
Each old share scales by 95/100.
Fashion new % = 30×0.95 = 28.5%.
DI Set 14: Graph DI (College Scholarship Fund Split (₹40 Lakh))
Data:
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pie showData
title College Scholarship Fund Split (₹40 Lakh)
"Merit Scholarships" : 35
"Need-based Scholarships" : 25
"Sports Scholarships" : 12
"Research Grants" : 10
"Cultural Support" : 8
"Admin & Processing" : 10Questions (MCQ):
Q1: Total fund increases by 15% to a new total, but Admin & Processing stays fixed at its old ₹ value. The remaining amount is distributed among the other heads in the same ratio as before (excluding Admin). What will be the new Research Grants amount (approx.)?
A) ₹4.40 lakh;
B) ₹4.67 lakh;
C) ₹4.80 lakh;
D) ₹5.00 lakh;
Q2: Merit share decreases by 5 percentage points, and these 5 points are added to Need-based and Research in the ratio 3:2 (in percentage points). What will be the new Need-based amount?
A) ₹10.8 lakh;
B) ₹11.0 lakh;
C) ₹11.2 lakh;
D) ₹11.4 lakh;
Q3: Sports amount increases by 20% (in ₹) and this increase is taken fully from Cultural Support (total unchanged). What will be the new Cultural Support percentage?
A) 5.2%;
B) 5.6%;
C) 6.0%;
D) 6.4%;
Q4: Admin & Processing and Cultural Support are merged. Then 25% of this merged amount is shifted to Research Grants (total unchanged). What will be the new Research Grants percentage?
A) 14.0%;
B) 14.5%;
C) 15.0%;
D) 15.5%;
Q5: Total fund decreases by 10% to ₹36 lakh, but Merit Scholarships stays fixed at its old ₹ value. The remaining amount is distributed among the other heads in the same ratio as before (excluding Merit). What will be the new Sports Scholarships amount (approx.)?
A) ₹3.90 lakh;
B) ₹4.06 lakh;
C) ₹4.20 lakh;
D) ₹4.40 lakh;
Answers and Explanations:
Answer (Q1): B) ₹4.67 lakh
Explanation: New total = 40 × 1.15 = ₹46 lakh.
Admin fixed = 10% of 40 = ₹4 lakh ⇒ remaining = 46 − 4 = ₹42 lakh.
Excluding Admin, share sum = 90; Research fraction = 10/90 = 1/9.
New Research = 42×(1/9) = ₹4.67 lakh (approx.).
Answer (Q2): C) ₹11.2 lakh
Explanation: Merit 35% → 30% (−5 points).
5 points split 3:2 ⇒ Need-based 25→28, Research 10→12.
Need-based new amount = 28% of 40 = ₹11.2 lakh.
Answer (Q3): B) 5.6%
Explanation: Sports = 12% of 40 = ₹4.8 lakh; +20% ⇒ +₹0.96 lakh.
Cultural reduces from ₹3.2 to ₹2.24 lakh.
New Cultural % = (2.24/40)×100 = 5.6%.
Answer (Q4): B) 14.5%
Explanation: Admin + Cultural = ₹4.0 + ₹3.2 = ₹7.2 lakh.
25% shifted to Research = 0.25×7.2 = ₹1.8 lakh.
Research new = 4.0 + 1.8 = ₹5.8 lakh.
New Research % = (5.8/40)×100 = 14.5%.
Answer (Q5): B) ₹4.06 lakh
Explanation: New total = ₹36 lakh; Merit fixed = ₹14 lakh ⇒ remaining = 22 lakh.
Excluding Merit, original share sum = 65; Sports fraction = 12/65.
New Sports = 22×(12/65) ≈ ₹4.06 lakh.
DI Set 15: Graph DI (Competitive Exam Applicants by Stream (60,000 Applicants))
Data:
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title Competitive Exam Applicants by Stream (60,000 Applicants)
"Arts" : 20
"Science" : 24
"Commerce" : 18
"Engineering" : 22
"Education" : 10
"Others" : 6Questions (MCQ):
Q1: Total applicants increase by 25% to 75,000, but Others stays fixed at its old count. The remaining applicants are distributed among the other streams in the same ratio as before (excluding Others). What will be the new Engineering applicants (approx.)?
A) 16,500;
B) 16,700;
C) 16,900;
D) 17,100;
Q2: Education decreases by 15% (in count), and these applicants are added fully to Commerce (total unchanged). What will be the new Commerce percentage?
A) 19.0%;
B) 19.5%;
C) 20.0%;
D) 20.5%;
Q3: First, 10% of Science applicants shift to Engineering. After that shift, 5% of Engineering applicants shift to Arts. Total remains unchanged. What will be the final Engineering applicants?
A) 13,800;
B) 13,908;
C) 14,000;
D) 14,100;
Q4: Total applicants drop by 20% to 48,000, but Engineering stays fixed at its old count. The remaining applicants are distributed among the other streams in the same ratio as before (excluding Engineering). What will be the new Science applicants (approx.)?
A) 10,600;
B) 10,708;
C) 10,800;
D) 10,900;
Q5: A new stream “Law” is introduced at 5% of total applicants by reducing all existing streams proportionally. What will be the new Others percentage?
A) 5.4%;
B) 5.7%;
C) 6.0%;
D) 6.3%;
Answers and Explanations:
Answer (Q1): B) 16,700
Explanation: New total = 75,000; Others fixed = 6% of 60,000 = 3,600 ⇒ remaining = 71,400.
Excluding Others, share sum = 94; Engineering fraction = 22/94 = 11/47.
New Engineering = 71,400×(11/47) ≈ 16,711 ≈ 16,700.
Answer (Q2): B) 19.5%
Explanation: Education = 10% of 60,000 = 6,000; 15% decrease = 900.
Commerce becomes 10,800 + 900 = 11,700.
New Commerce % = (11,700/60,000)×100 = 19.5%.
Answer (Q3): B) 13,908
Explanation: Science = 14,400; 10% shift = 1,440 to Engineering.
Engineering becomes 13,200 + 1,440 = 14,640.
Then 5% of 14,640 shifts to Arts = 732.
Final Engineering = 14,640 − 732 = 13,908.
Answer (Q4): B) 10,708
Explanation: New total = 48,000; Engineering fixed = 13,200 ⇒ remaining = 34,800.
Excluding Engineering, share sum = 78; Science fraction = 24/78 = 4/13.
New Science = 34,800×(4/13) ≈ 10,707.7 ≈ 10,708.
Answer (Q5): B) 5.7%
Explanation: New Law = 5%, so old streams together become 95%.
Each old share scales by 95/100.
Others new % = 6×0.95 = 5.7%.