Master Percentage Questions for Competitive Exams [100% Free and Effective!]

Percentage Questions : When it comes to preparing for competitive examinations, “percentage questions” stand out as a crucial topic every aspirant must grasp. Whether you’re gearing up for the Bank, SSC, Railways, or other government exams, “percentage questions” consistently feature as a key component of the syllabus. This comes as no surprise since understanding “percentage questions” lays the foundation for various other mathematical concepts.

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By the end, our goal is for you to look at “percentage questions” not as a challenge but as an opportunity, an opportunity to score and excel in the Bank, SSC, Railways, and other government exams. So, let’s embark on this percentage-filled journey together!

251. The number of boys in a class is 25% less than the number of girls in the class. If the number of girls and boys increased by 18 and 21 respectively, then the number of boys in the class is 20% less than the number of girls in the class. What is the initial number of girls in the class?

एक कक्षा में लड़कों की संख्या कक्षा की लड़कियों की संख्या से 25% कम है। यदि लड़कियों और लड़कों की संख्या में क्रमशः 18 और 21 की वृद्धि हुई, तो कक्षा में लड़कों की संख्या कक्षा की लड़कियों की संख्या से 20% कम है। कक्षा में लड़कियों की प्रारंभिक संख्या क्या है?

A. 132
B. 100
C. 150
D. 200
E. None of these

Option “A” is correct.

Number of girls in the class = x

Number of boys in the class = x * 75/100 = 3x/4

(x + 18)/(3x/4 + 21) = x/(x * 80/100)

(x + 18)/(3x/4 + 21) = 5/4

15x/4 + 105 = 4x + 72

0.25x = 33

x = 132

252. If the rate of one kg of sugar is reduced by 25% and then the sales of sugar is increased by 30%, then what percentage of revenue is increased or decreased by shopkeeper?

यदि एक किलो चीनी की दर 25% कम हो जाती है और फिर चीनी की बिक्री में 30% की वृद्धि होती है, तो दुकानदार के राजस्व में कितना प्रतिशत वृद्धि या कमी होती है?

A. 2% increase
B. 2% decrease
C. 1.5% increase
D. 2.5% decrease
E. 1.5% decrease

Option “D” is correct.

Required formula = a + b + (ab/100)

= 30 + (– 25) + (30 * (-25))/100

= 5 – 7.5

= -2.5%

253. The total number of employees in teams A and B together is 550. If the total number of employees in team A is increased by 20% and the total number of employees in team B is decreased by 20%, then the total number of employees in teams A and B together is increased by 10. Find the total number of employees in team A initially?

एकसाथ टीम A और B में कर्मचारियों की कुल संख्या 550 है। यदि टीम A में कर्मचारियों की कुल संख्या में 20% की वृद्धि की जाती है और टीम B में कर्मचारियों की कुल संख्या में 20% की कमी की जाती है, तो एकसाथ टीम A और B में कर्मचारियों की कुल संख्या में 10 की वृद्धि होती है। प्रारंभ में टीम A में कर्मचारियों की कुल संख्या ज्ञात कीजिए?

A. 250
B. 300
C. 345
D. 145
E. 657

Option “B” is correct.

Let the total number of employees in team A = x

And the total number of employees in team B = 550 – x

x * 20/100 – (550 – x) * 20/100 = 10

x/5 – 110 + x/5 = 10

2x/5 = 120

x = 120 * 5/2

x = 300

254. Anand saves 25% of his monthly income. If his monthly expenditure is increased 60%, while his monthly savings remain the same, then find the percentage increase in his monthly income?

आनंद अपनी मासिक आय का 25% बचाता है। यदि उसके मासिक व्यय में 60% की वृद्धि होती है, जबकि उसकी मासिक बचत वही रहती है, तो उसकी मासिक आय में प्रतिशत वृद्धि ज्ञात कीजिए?

A. 48%
B. 30%
C. 34%
D. 14%
E. None of these

Option “E” is correct.

Let monthly income of Anand initially be Rs. 100x

Monthly savings of Anand initially = 0.25 × 100x = Rs. 25x

Monthly expenditure of Anand initially = 100x – 25x = Rs. 75x

Increased monthly expenditure = 1.60 × 75x = Rs. 120x

So, Increased monthly income = 120x + 25x = Rs. 145x

Required percentage = [(145x – 100x)/100x] × 100 = 45%

255. In a library, the total number of Physics books is 50% more than that of Chemistry books. If the total number of Chemistry books is increased by 15% and the total number of Physics books is decreased by 20%, then now find the ratio of the total number of Physics to Chemistry books in the library?

एक पुस्तकालय में, भौतिकी की पुस्तकों की कुल संख्या रसायन विज्ञान की पुस्तकों की कुल संख्या से 50% अधिक है। यदि रसायन विज्ञान की पुस्तकों की कुल संख्या में 15% की वृद्धि की जाती है और भौतिकी की पुस्तकों की कुल संख्या में 20% की कमी की जाती है, तो अब पुस्तकालय में भौतिकी से रसायन विज्ञान की पुस्तकों की कुल संख्या का अनुपात ज्ञात कीजिए?

A. 24:23
B. 10:9
C. 9:14
D. 7:12
E. None of these

Option “A” is correct.

The ratio of the total number of Physics to Chemistry books in the library = 150:100 = 3:2

Now, the ratio of the total number of Physics to Chemistry books in the library = (3 * 80/100) : (2x * 115/100) = 24:23

256. The ratio of monthly expenditure tomonthly savings of Arun is 3:2 and his monthly income is Rs.25000. If his monthly expenditure decreased by 20% and monthly savings is increased by 25%, then find how much amount will be increased/decreased of his originalincome?

अरुण के मासिक व्यय से मासिक बचत का अनुपात 3:2 है और उसकी मासिक आय 25000 रुपये है। यदि उसका मासिक व्यय 20% कम हो जाता है और मासिक बचत 25% बढ़ जाती है, तो ज्ञात कीजिए कि उसकी मूल आय में से कितनी राशि की वृद्धि/कमी होगी?

A. Rs.600
B. Rs.500
C. Rs.700
D. Rs.900
E. None of these

Option “B” is correct.

Monthly expenditure of Arun = 25000 * (3/5) = Rs.15000

Monthly savings of Arun = 25000 – 15000 = Rs.10000

New income of Arun = 15000 * (80/100) + 10000 * (125/100) = Rs.24500

Required difference = 25000 – 24500 = Rs.500

257. The total number of students in school A is 20% more than that of school B. If the total number of students in school A is increased by 25%, the difference between the students now in school A and the actual students in school B is 200, then find the actual students in school A?

स्कूल A में छात्रों की कुल संख्या, स्कूल B से 20% अधिक है। यदि स्कूल A में छात्रों की कुल संख्या में 25% की वृद्धि की जाती है, तो अब स्कूल A में छात्रों और स्कूल B में वास्तविक छात्रों के बीच का अंतर 200 है, तो स्कूल A में वास्तविक छात्रों का पता लगाएं?

A. Rs.400
B. Rs.200
C. Rs.480
D. Rs.900
E. None of these

Option “C” is correct.

Let the actual students in school B = 5x

And the actual students in school A = 5x * 120/100 = 6x

6x * 125/100 – 5x = 200

7.5x – 5x = 200

x = 200/2.5

x = 80

The actual students in school A = 6 * 80 = 480

258. In an Office, the number of males and females are working in the ratio of 2:3. If the number of males increased by 20% and the number of females increased by 20, then now the number of females is 32 more than that of males after increasing. Find the increased percentage of the total number of people working in the office.

एक कार्यालय में पुरुषों और महिलाओं की संख्या 2:3 के अनुपात में काम कर रही है। यदि पुरुषों की संख्या में 20% की वृद्धि हुई और महिलाओं की संख्या में 20 की वृद्धि हुई, तो अब वृद्धि के बाद महिलाओं की संख्या, पुरुषों की संख्या से 32 अधिक है। कार्यालय में काम करने वाले लोगों की कुल संख्या का बढ़ा हुआ प्रतिशत ज्ञात कीजिए।

A. 24%
B. 28%
C. 26.5%
D. 31%
E. 19%

Option “B” is correct.

Let the number of males and females working initially be 2x and 3x respectively.

Number of males after increased = 2x * 120% = 2.4x

Number of females after increased = 3x + 20

ATQ, 3x + 20 – 2.4x = 32

0.6x = 12

x = 20

Number of People in the office initially = 5x = 100

Number of people in the office after increased = 5.4x + 20 = 128

Required % = [(128 – 100)/100]*100

= 28%

259. 20 lakh tourists came to visit Jim Corbett National park in 2015. There was an increase of seven percent in the number of tourist arrivals in 2016. If the rate is further appreciated by 2 percent points in 2017, how many tourists visit the National park in year 2017?

20 लाख पर्यटक 2015 में जिम कॉर्बेट नेशनल पार्क में आए थे। 2016 में पर्यटक आगंतुक की संख्या में सात प्रतिशत की वृद्धि हुई थी। यदि 2017 में अन्य 2 प्रतिशत की वृद्धि होती है, तो वर्ष 2017 में कितने पर्यटक राष्ट्रीय उद्यान में जाते हैं?

A. 2232500
B. 2323600
C. 2332600
D. 2232000
E. None of these

Option “C” is correct.

No. of tourists to visit the National Park in 2015 = 20, 00,000

The tourists increase by 7 percent in 2016

Thus, No. of tourists in 2016 = 1.07 * 20, 00,000 = 21, 40,000

The rate of increase is further increased by two percent points i.e. 9 percent

Thus, No. of tourists in 2017 = 1.09 * 21, 40,000 = 23, 32,600

260. Price of a doll is decreased by 5% in 2018 from 2017. In 2019, it is increased by 10% from 2018 and in 2020 it is further decreased by 16% from 2019, then the price of the doll in 2020 is howmuch percent less/more than that of price in 2017?

2017 से 2018 में एक गुड़िया की कीमत में 5% की कमी आई है। 2019 में, 2018 से इसे 10% तक बढ़ाया गया है और 2020 में इसे 2019 से 16% तक कम किया गया है, फिर 2020 में गुड़िया की कीमत 2017 में उसके मूल्य की तुलना में कितना प्रतिशत कम/अधिक है?

A. 12.22% less
B. 12.22% more
C. 18.23% less
D. 18.23% more
E. None of these

Option “A” is correct.

Let the price of a doll in 2017 = 100x

Price in 2018 = 95% of 100x = 95x

Price in 2019 = 110% of 95x = 104.5x

Price in 2020 = 84% of 104.5x = 87.78x

Required % = (100x – 87.78x)/100x * 100 = 12.22% less