<div class="Y3BBE" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBRAA" data-complete="true" data-processed="true">Percentage is a core arithmetic topic and the backbone of several other chapters like Profit & Loss, Simple & Compound Interest, and Data Interpretation. In competitive exams (SSC, Banking, Railways, and CSAT), percentage-based questions test your ability to handle relative values and rapid calculations.</div> <div class="Y3BBE" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBRAA" data-complete="true" data-processed="true"><strong>What these PYQs cover:</strong></div> <ul class="KsbFXc U6u95" data-sfc-root="c" data-sfc-cb="" data-complete="true" data-processed="true"> <li class="dF3vjf" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBxAA" data-complete="true" data-sae=""><span class="T286Pc" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-complete="true"><strong class="Yjhzub" data-sfc-root="c" data-sfc-cb="" data-complete="true">Income & Expenditure:</strong> Relationships between salary, savings, and consumption.</span></li> <li class="dF3vjf" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBxAB" data-complete="true" data-sae=""><span class="T286Pc" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-complete="true"><strong class="Yjhzub" data-sfc-root="c" data-sfc-cb="" data-complete="true">Successive Changes:</strong> Net effects of back-to-back percentage increases or decreases.</span></li> <li class="dF3vjf" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBxAC" data-complete="true" data-sae=""><span class="T286Pc" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-complete="true"><strong class="Yjhzub" data-sfc-root="c" data-sfc-cb="" data-complete="true">Election Dynamics:</strong> Calculating winner/loser margins from total and valid votes.</span></li> <li class="dF3vjf" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBxAD" data-complete="true" data-sae=""><span class="T286Pc" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-complete="true"><strong class="Yjhzub" data-sfc-root="c" data-sfc-cb="" data-complete="true">Examination Scores:</strong> Finding maximum marks and passing requirements.</span></li> <li class="dF3vjf" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEIBxAE" data-complete="true" data-sae=""><span class="T286Pc" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-complete="true"><strong class="Yjhzub" data-sfc-root="c" data-sfc-cb="" data-complete="true">Population Growth:</strong> Compounding effects over multiple years.</span></li> </ul> <div class="Y3BBE" data-sfc-cp="" data-sfc-root="c" data-sfc-cb="" data-hveid="CAEICBAA" data-complete="true" data-processed="true"> <div data-processed="true"></div> </div>

Question 1

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A number is increased by 50 and then again increased by 50%. By what percent should the increased number be reduced to get back the original number? 

एक संख्या में 50% की वृद्धि की जाती है और फिर पुन:  50% बढ़ाया जाता है। मूल संख्या वापस प्राप्त करने के लिए बढ़ी हुई संख्या को कितने प्रतिशत कम करना चाहिए?

(SSC GD 11 Feb., 2025 Shift III)

A  \(50\frac{1}{5}\) %

B  \(55\frac{5}{9}\) %

C  \(43\frac{4}{3}\) %

D  \(40\frac{2}{3}\) %

✔ Correct Answer: B —  \(55\frac{5}{9}\) %

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Question 2

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Sudha's expenditure is 125% more than her savings. If her expenditure is reduced by 14% and savings are increased by 38%, then by what percentage will her income increase?

सुधा का खर्च उसके बचत से 125% अधिक है। अगर उसका खर्च 14% कम कर दिया जाए और बचत 38% बढ़ा दी जाए, तो उसकी आय कितने प्रतिशत बढ़ेगी? (SSC GD 25 Feb., 2025 Shift III)

A 3%

B 5%

C 2%

D 4%

✔ Correct Answer: C — 2%

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Question 3

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A refinery produces 3 grades of gasoline: regular (85% octane), mid-grade (90% octane) and premium (95% octane). If 200 barrels of regular, 100 barrels of mid-grade and 100 barrels of premium are mixed, what will be the average octane rating?

एक रिफाइनरी 3 ग्रेड के गैसोलीन उत्पादन करती है: रेगुलर (85% ऑक्टेन), मिड-ग्रेड (90% ऑक्टेन) और प्रीमियम (95% ऑक्टेन)। यदि 200 बैरल रेगुलर, 100 बैरल मिड-ग्रेड और 100 बैरल प्रीमियम को मिलाया जाए, तो औसत ऑक्टेन रेटिंग क्या होगी? (SSC GD 18 Feb., 2025 Shift III)

A 89%

B 88.5%

C 88.25%

D 88.75%

✔ Correct Answer: D — 88.75%

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Question 4

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The price of a shirt first increased by 15% and then decreased by 12%, and once again increased by 8%. Find the net increase or decrease percentage (correct to one decimal place) in the price of the shirt.

एक शर्ट की कीमत में पहले 15% बढ़ी और फिर 12% की कमी हुई, और एक बार फिर 8% की वृद्धि हुई। शर्ट की कीमत में कुल वृद्धि या कमी का प्रतिशत (एक दशमलव स्थान तक सही) ज्ञात कीजिए।

(SSC GD 05 Feb., 2025 Shift II)

A 9.3% कमी (decrease)

B 10.6 % वृद्धि (increase)

C 9.3 % वृद्धि (increase)

D 10.6 % कमी (decrease)

✔ Correct Answer: C — 9.3 % वृद्धि (increase)

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Question 5

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The length of a rectangle is increased by 15%. Find the percentage of reduction in width to keep the area the same. (Give the value rounded off to two decimal places)

एक आयत की लंबाई को 15% बढ़ाया जाता है। क्षेत्रफल को बराबर रखने के लिए चौड़ाई में कितने प्रतिशत की कमी करनी होगी  (मान को दो दशमलव स्थानों तक गोल करें)

A 66.67%

B 23.33%

C 13.04%

D 86.96%

✔ Correct Answer: C — 13.04%

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Question 6

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The population of a town increase by 8% every year. If the present population is 45,000, what will be its population after 2 years?

एक कस्बे की जनसंख्या हर साल 8% की वृद्धि होती है। यदि वर्तमान जनसंख्या 45,000 है, तो 2 वर्षों के बाद इसकी जनसंख्या कितनी होगी?

(SSC GD 12 Feb., 2025 Shift I)

A 52,200

B 52,316

C 52,488

D 52,532

✔ Correct Answer: C — 52,488

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Question 7

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The salary of an employee is first increased by 8% and then decreased by 8%. What is the percentage change in his salary?

एक कर्मचारी का वेतन पहले 8% बढ़ाया जाता है और फिर 8% घटाया जाता है। उसके वेतन में प्रतिशत परिवर्तन क्या है?

(SSC GD 12 Feb., 2025 Shift III)

A 0.49%

B 0.64%

C 0.81%

D 0.25%

✔ Correct Answer: B — 0.64%

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Question 8

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The salary of an employee is increased by 30%. What percentage of the new salary must be reduced to get back to the original salary? (Give the value rounded off to two decimal places)

एक कर्मचारी के वेतन में 30% बढ़ाया जाता है। मूल वेतन पर लौटने के लिए नए वेतन का कितने प्रतिशत घटाना होगा? (मान को दो दशमलव अंकों तक गोल करें) (SSC GD 17 Feb., 2025 Shift III)

A 23.08%

B 27.02%

C 30%

D 25%

✔ Correct Answer: A — 23.08%

Explanation: Hint :-

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Question 9

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A salary increases from ₹10,000 to ₹12,000. Find percentage increase. / वेतन ₹10,000 से बढ़कर ₹12,000 हो जाता है। प्रतिशत वृद्धि ज्ञात कीजिए। {HP Home Guard 23 August 2026}

A 10%

B 15%

C 20%

D 25%

✔ Correct Answer: C — 20%

Explanation:  \[ \begin{aligned}The ~increase~ is ~2000,~and \frac{2000}{10000}\times100=20\%\end{aligned} \] 

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Question 10

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If the price of petrol increases from Rs 90/litre to Rs110/litre, by how much percent a person will have to reduce his consumption so that his expenditure on petrol remains the same (give approximate value up to two decimal places)?

यही पेट्रोल की कीमत 90 रुपये/लीटर से बढ़कर 110 रुपये/लीटर हो जाती है, तो किसी व्यक्ति को अपनी खपत को कितने प्रतिशत कम करना होगा ताकि पेट्रोल पर उसका खर्च समान रहे (लगभग दो दशमलव स्थानों तक मान दें)?

(SSC GD 10 Feb., 2025 Shift III)

A 18.18%

B 78.78%

C 81.81%

D 25.25%

✔ Correct Answer: A — 18.18%

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